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Posted to commits@commons.apache.org by er...@apache.org on 2022/01/25 00:38:00 UTC

[commons-math] 08/11: MATH-1580: "K-Means" clustering example.

This is an automated email from the ASF dual-hosted git repository.

erans pushed a commit to branch master
in repository https://gitbox.apache.org/repos/asf/commons-math.git

commit 565b896873048416f611c12e8667bd76a83f47a6
Author: Gilles Sadowski <gi...@gmail.com>
AuthorDate: Mon Jan 24 18:14:59 2022 +0100

    MATH-1580: "K-Means" clustering example.
    
    Adapted application moved to the "commons-math-examples" module.
    
    * GUI dependencies have been removed.
    * Any format supported by "Commons Imaging" can be used as input.
    * Clustered image saved in PNG format.
---
 commons-math-examples/examples-kmeans/LICENCE      | 201 ++++++++++++++++++++
 commons-math-examples/examples-kmeans/NOTICE       |   5 +
 .../examples-kmeans/image/LICENCE                  | 201 ++++++++++++++++++++
 commons-math-examples/examples-kmeans/image/NOTICE |   5 +
 .../examples-kmeans/image/pom.xml                  |  69 +++++++
 .../math4/examples/kmeans/image/ImageData.java     | 151 +++++++++++++++
 .../math4/examples/kmeans/image/StandAlone.java    |  80 ++++++++
 .../math4/examples/kmeans/image/package-info.java  |  22 +++
 commons-math-examples/examples-kmeans/pom.xml      |  57 ++++++
 commons-math-examples/pom.xml                      |  14 +-
 .../clustering/ImageClusteringExample.java         | 203 ---------------------
 src/userguide/resources/ColorfulBird.jpg           | Bin 98227 -> 0 bytes
 12 files changed, 803 insertions(+), 205 deletions(-)

diff --git a/commons-math-examples/examples-kmeans/LICENCE b/commons-math-examples/examples-kmeans/LICENCE
new file mode 100644
index 0000000..261eeb9
--- /dev/null
+++ b/commons-math-examples/examples-kmeans/LICENCE
@@ -0,0 +1,201 @@
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
+      "Licensor" shall mean the copyright owner or entity authorized by
+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
+      "control" means (i) the power, direct or indirect, to cause the
+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
+
+      "Source" form shall mean the preferred form for making modifications,
+      including but not limited to software source code, documentation
+      source, and configuration files.
+
+      "Object" form shall mean any form resulting from mechanical
+      transformation or translation of a Source form, including but
+      not limited to compiled object code, generated documentation,
+      and conversions to other media types.
+
+      "Work" shall mean the work of authorship, whether in Source or
+      Object form, made available under the License, as indicated by a
+      copyright notice that is included in or attached to the work
+      (an example is provided in the Appendix below).
+
+      "Derivative Works" shall mean any work, whether in Source or Object
+      form, that is based on (or derived from) the Work and for which the
+      editorial revisions, annotations, elaborations, or other modifications
+      represent, as a whole, an original work of authorship. For the purposes
+      of this License, Derivative Works shall not include works that remain
+      separable from, or merely link (or bind by name) to the interfaces of,
+      the Work and Derivative Works thereof.
+
+      "Contribution" shall mean any work of authorship, including
+      the original version of the Work and any modifications or additions
+      to that Work or Derivative Works thereof, that is intentionally
+      submitted to Licensor for inclusion in the Work by the copyright owner
+      or by an individual or Legal Entity authorized to submit on behalf of
+      the copyright owner. For the purposes of this definition, "submitted"
+      means any form of electronic, verbal, or written communication sent
+      to the Licensor or its representatives, including but not limited to
+      communication on electronic mailing lists, source code control systems,
+      and issue tracking systems that are managed by, or on behalf of, the
+      Licensor for the purpose of discussing and improving the Work, but
+      excluding communication that is conspicuously marked or otherwise
+      designated in writing by the copyright owner as "Not a Contribution."
+
+      "Contributor" shall mean Licensor and any individual or Legal Entity
+      on behalf of whom a Contribution has been received by Licensor and
+      subsequently incorporated within the Work.
+
+   2. Grant of Copyright License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      copyright license to reproduce, prepare Derivative Works of,
+      publicly display, publicly perform, sublicense, and distribute the
+      Work and such Derivative Works in Source or Object form.
+
+   3. Grant of Patent License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      (except as stated in this section) patent license to make, have made,
+      use, offer to sell, sell, import, and otherwise transfer the Work,
+      where such license applies only to those patent claims licensable
+      by such Contributor that are necessarily infringed by their
+      Contribution(s) alone or by combination of their Contribution(s)
+      with the Work to which such Contribution(s) was submitted. If You
+      institute patent litigation against any entity (including a
+      cross-claim or counterclaim in a lawsuit) alleging that the Work
+      or a Contribution incorporated within the Work constitutes direct
+      or contributory patent infringement, then any patent licenses
+      granted to You under this License for that Work shall terminate
+      as of the date such litigation is filed.
+
+   4. Redistribution. You may reproduce and distribute copies of the
+      Work or Derivative Works thereof in any medium, with or without
+      modifications, and in Source or Object form, provided that You
+      meet the following conditions:
+
+      (a) You must give any other recipients of the Work or
+          Derivative Works a copy of this License; and
+
+      (b) You must cause any modified files to carry prominent notices
+          stating that You changed the files; and
+
+      (c) You must retain, in the Source form of any Derivative Works
+          that You distribute, all copyright, patent, trademark, and
+          attribution notices from the Source form of the Work,
+          excluding those notices that do not pertain to any part of
+          the Derivative Works; and
+
+      (d) If the Work includes a "NOTICE" text file as part of its
+          distribution, then any Derivative Works that You distribute must
+          include a readable copy of the attribution notices contained
+          within such NOTICE file, excluding those notices that do not
+          pertain to any part of the Derivative Works, in at least one
+          of the following places: within a NOTICE text file distributed
+          as part of the Derivative Works; within the Source form or
+          documentation, if provided along with the Derivative Works; or,
+          within a display generated by the Derivative Works, if and
+          wherever such third-party notices normally appear. The contents
+          of the NOTICE file are for informational purposes only and
+          do not modify the License. You may add Your own attribution
+          notices within Derivative Works that You distribute, alongside
+          or as an addendum to the NOTICE text from the Work, provided
+          that such additional attribution notices cannot be construed
+          as modifying the License.
+
+      You may add Your own copyright statement to Your modifications and
+      may provide additional or different license terms and conditions
+      for use, reproduction, or distribution of Your modifications, or
+      for any such Derivative Works as a whole, provided Your use,
+      reproduction, and distribution of the Work otherwise complies with
+      the conditions stated in this License.
+
+   5. Submission of Contributions. Unless You explicitly state otherwise,
+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
+      this License, without any additional terms or conditions.
+      Notwithstanding the above, nothing herein shall supersede or modify
+      the terms of any separate license agreement you may have executed
+      with Licensor regarding such Contributions.
+
+   6. Trademarks. This License does not grant permission to use the trade
+      names, trademarks, service marks, or product names of the Licensor,
+      except as required for reasonable and customary use in describing the
+      origin of the Work and reproducing the content of the NOTICE file.
+
+   7. Disclaimer of Warranty. Unless required by applicable law or
+      agreed to in writing, Licensor provides the Work (and each
+      Contributor provides its Contributions) on an "AS IS" BASIS,
+      WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+      implied, including, without limitation, any warranties or conditions
+      of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+      PARTICULAR PURPOSE. You are solely responsible for determining the
+      appropriateness of using or redistributing the Work and assume any
+      risks associated with Your exercise of permissions under this License.
+
+   8. Limitation of Liability. In no event and under no legal theory,
+      whether in tort (including negligence), contract, or otherwise,
+      unless required by applicable law (such as deliberate and grossly
+      negligent acts) or agreed to in writing, shall any Contributor be
+      liable to You for damages, including any direct, indirect, special,
+      incidental, or consequential damages of any character arising as a
+      result of this License or out of the use or inability to use the
+      Work (including but not limited to damages for loss of goodwill,
+      work stoppage, computer failure or malfunction, or any and all
+      other commercial damages or losses), even if such Contributor
+      has been advised of the possibility of such damages.
+
+   9. Accepting Warranty or Additional Liability. While redistributing
+      the Work or Derivative Works thereof, You may choose to offer,
+      and charge a fee for, acceptance of support, warranty, indemnity,
+      or other liability obligations and/or rights consistent with this
+      License. However, in accepting such obligations, You may act only
+      on Your own behalf and on Your sole responsibility, not on behalf
+      of any other Contributor, and only if You agree to indemnify,
+      defend, and hold each Contributor harmless for any liability
+      incurred by, or claims asserted against, such Contributor by reason
+      of your accepting any such warranty or additional liability.
+
+   END OF TERMS AND CONDITIONS
+
+   APPENDIX: How to apply the Apache License to your work.
+
+      To apply the Apache License to your work, attach the following
+      boilerplate notice, with the fields enclosed by brackets "[]"
+      replaced with your own identifying information. (Don't include
+      the brackets!)  The text should be enclosed in the appropriate
+      comment syntax for the file format. We also recommend that a
+      file or class name and description of purpose be included on the
+      same "printed page" as the copyright notice for easier
+      identification within third-party archives.
+
+   Copyright [yyyy] [name of copyright owner]
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
diff --git a/commons-math-examples/examples-kmeans/NOTICE b/commons-math-examples/examples-kmeans/NOTICE
new file mode 100644
index 0000000..28031e8
--- /dev/null
+++ b/commons-math-examples/examples-kmeans/NOTICE
@@ -0,0 +1,5 @@
+Apache Commons Math
+Copyright 2001-2022 The Apache Software Foundation
+
+This product includes software developed at
+The Apache Software Foundation (http://www.apache.org/).
diff --git a/commons-math-examples/examples-kmeans/image/LICENCE b/commons-math-examples/examples-kmeans/image/LICENCE
new file mode 100644
index 0000000..261eeb9
--- /dev/null
+++ b/commons-math-examples/examples-kmeans/image/LICENCE
@@ -0,0 +1,201 @@
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
+      "Licensor" shall mean the copyright owner or entity authorized by
+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
+      "control" means (i) the power, direct or indirect, to cause the
+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
+
+      "Source" form shall mean the preferred form for making modifications,
+      including but not limited to software source code, documentation
+      source, and configuration files.
+
+      "Object" form shall mean any form resulting from mechanical
+      transformation or translation of a Source form, including but
+      not limited to compiled object code, generated documentation,
+      and conversions to other media types.
+
+      "Work" shall mean the work of authorship, whether in Source or
+      Object form, made available under the License, as indicated by a
+      copyright notice that is included in or attached to the work
+      (an example is provided in the Appendix below).
+
+      "Derivative Works" shall mean any work, whether in Source or Object
+      form, that is based on (or derived from) the Work and for which the
+      editorial revisions, annotations, elaborations, or other modifications
+      represent, as a whole, an original work of authorship. For the purposes
+      of this License, Derivative Works shall not include works that remain
+      separable from, or merely link (or bind by name) to the interfaces of,
+      the Work and Derivative Works thereof.
+
+      "Contribution" shall mean any work of authorship, including
+      the original version of the Work and any modifications or additions
+      to that Work or Derivative Works thereof, that is intentionally
+      submitted to Licensor for inclusion in the Work by the copyright owner
+      or by an individual or Legal Entity authorized to submit on behalf of
+      the copyright owner. For the purposes of this definition, "submitted"
+      means any form of electronic, verbal, or written communication sent
+      to the Licensor or its representatives, including but not limited to
+      communication on electronic mailing lists, source code control systems,
+      and issue tracking systems that are managed by, or on behalf of, the
+      Licensor for the purpose of discussing and improving the Work, but
+      excluding communication that is conspicuously marked or otherwise
+      designated in writing by the copyright owner as "Not a Contribution."
+
+      "Contributor" shall mean Licensor and any individual or Legal Entity
+      on behalf of whom a Contribution has been received by Licensor and
+      subsequently incorporated within the Work.
+
+   2. Grant of Copyright License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      copyright license to reproduce, prepare Derivative Works of,
+      publicly display, publicly perform, sublicense, and distribute the
+      Work and such Derivative Works in Source or Object form.
+
+   3. Grant of Patent License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      (except as stated in this section) patent license to make, have made,
+      use, offer to sell, sell, import, and otherwise transfer the Work,
+      where such license applies only to those patent claims licensable
+      by such Contributor that are necessarily infringed by their
+      Contribution(s) alone or by combination of their Contribution(s)
+      with the Work to which such Contribution(s) was submitted. If You
+      institute patent litigation against any entity (including a
+      cross-claim or counterclaim in a lawsuit) alleging that the Work
+      or a Contribution incorporated within the Work constitutes direct
+      or contributory patent infringement, then any patent licenses
+      granted to You under this License for that Work shall terminate
+      as of the date such litigation is filed.
+
+   4. Redistribution. You may reproduce and distribute copies of the
+      Work or Derivative Works thereof in any medium, with or without
+      modifications, and in Source or Object form, provided that You
+      meet the following conditions:
+
+      (a) You must give any other recipients of the Work or
+          Derivative Works a copy of this License; and
+
+      (b) You must cause any modified files to carry prominent notices
+          stating that You changed the files; and
+
+      (c) You must retain, in the Source form of any Derivative Works
+          that You distribute, all copyright, patent, trademark, and
+          attribution notices from the Source form of the Work,
+          excluding those notices that do not pertain to any part of
+          the Derivative Works; and
+
+      (d) If the Work includes a "NOTICE" text file as part of its
+          distribution, then any Derivative Works that You distribute must
+          include a readable copy of the attribution notices contained
+          within such NOTICE file, excluding those notices that do not
+          pertain to any part of the Derivative Works, in at least one
+          of the following places: within a NOTICE text file distributed
+          as part of the Derivative Works; within the Source form or
+          documentation, if provided along with the Derivative Works; or,
+          within a display generated by the Derivative Works, if and
+          wherever such third-party notices normally appear. The contents
+          of the NOTICE file are for informational purposes only and
+          do not modify the License. You may add Your own attribution
+          notices within Derivative Works that You distribute, alongside
+          or as an addendum to the NOTICE text from the Work, provided
+          that such additional attribution notices cannot be construed
+          as modifying the License.
+
+      You may add Your own copyright statement to Your modifications and
+      may provide additional or different license terms and conditions
+      for use, reproduction, or distribution of Your modifications, or
+      for any such Derivative Works as a whole, provided Your use,
+      reproduction, and distribution of the Work otherwise complies with
+      the conditions stated in this License.
+
+   5. Submission of Contributions. Unless You explicitly state otherwise,
+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
+      this License, without any additional terms or conditions.
+      Notwithstanding the above, nothing herein shall supersede or modify
+      the terms of any separate license agreement you may have executed
+      with Licensor regarding such Contributions.
+
+   6. Trademarks. This License does not grant permission to use the trade
+      names, trademarks, service marks, or product names of the Licensor,
+      except as required for reasonable and customary use in describing the
+      origin of the Work and reproducing the content of the NOTICE file.
+
+   7. Disclaimer of Warranty. Unless required by applicable law or
+      agreed to in writing, Licensor provides the Work (and each
+      Contributor provides its Contributions) on an "AS IS" BASIS,
+      WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+      implied, including, without limitation, any warranties or conditions
+      of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+      PARTICULAR PURPOSE. You are solely responsible for determining the
+      appropriateness of using or redistributing the Work and assume any
+      risks associated with Your exercise of permissions under this License.
+
+   8. Limitation of Liability. In no event and under no legal theory,
+      whether in tort (including negligence), contract, or otherwise,
+      unless required by applicable law (such as deliberate and grossly
+      negligent acts) or agreed to in writing, shall any Contributor be
+      liable to You for damages, including any direct, indirect, special,
+      incidental, or consequential damages of any character arising as a
+      result of this License or out of the use or inability to use the
+      Work (including but not limited to damages for loss of goodwill,
+      work stoppage, computer failure or malfunction, or any and all
+      other commercial damages or losses), even if such Contributor
+      has been advised of the possibility of such damages.
+
+   9. Accepting Warranty or Additional Liability. While redistributing
+      the Work or Derivative Works thereof, You may choose to offer,
+      and charge a fee for, acceptance of support, warranty, indemnity,
+      or other liability obligations and/or rights consistent with this
+      License. However, in accepting such obligations, You may act only
+      on Your own behalf and on Your sole responsibility, not on behalf
+      of any other Contributor, and only if You agree to indemnify,
+      defend, and hold each Contributor harmless for any liability
+      incurred by, or claims asserted against, such Contributor by reason
+      of your accepting any such warranty or additional liability.
+
+   END OF TERMS AND CONDITIONS
+
+   APPENDIX: How to apply the Apache License to your work.
+
+      To apply the Apache License to your work, attach the following
+      boilerplate notice, with the fields enclosed by brackets "[]"
+      replaced with your own identifying information. (Don't include
+      the brackets!)  The text should be enclosed in the appropriate
+      comment syntax for the file format. We also recommend that a
+      file or class name and description of purpose be included on the
+      same "printed page" as the copyright notice for easier
+      identification within third-party archives.
+
+   Copyright [yyyy] [name of copyright owner]
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
diff --git a/commons-math-examples/examples-kmeans/image/NOTICE b/commons-math-examples/examples-kmeans/image/NOTICE
new file mode 100644
index 0000000..28031e8
--- /dev/null
+++ b/commons-math-examples/examples-kmeans/image/NOTICE
@@ -0,0 +1,5 @@
+Apache Commons Math
+Copyright 2001-2022 The Apache Software Foundation
+
+This product includes software developed at
+The Apache Software Foundation (http://www.apache.org/).
diff --git a/commons-math-examples/examples-kmeans/image/pom.xml b/commons-math-examples/examples-kmeans/image/pom.xml
new file mode 100644
index 0000000..1239e5b
--- /dev/null
+++ b/commons-math-examples/examples-kmeans/image/pom.xml
@@ -0,0 +1,69 @@
+<?xml version="1.0"?>
+<!--
+   Licensed to the Apache Software Foundation (ASF) under one or more
+   contributor license agreements.  See the NOTICE file distributed with
+   this work for additional information regarding copyright ownership.
+   The ASF licenses this file to You under the Apache License, Version 2.0
+   (the "License"); you may not use this file except in compliance with
+   the License.  You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
+-->
+<project xmlns="http://maven.apache.org/POM/4.0.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 http://maven.apache.org/xsd/maven-4.0.0.xsd">
+  <modelVersion>4.0.0</modelVersion>
+
+  <parent>
+    <groupId>org.apache.commons</groupId>
+    <artifactId>examples-kmeans</artifactId>
+    <version>4.0-SNAPSHOT</version>
+  </parent>
+
+  <artifactId>examples-kmeans-image</artifactId>
+  <version>4.0-SNAPSHOT</version>
+  <!-- This name is used in the shaded jar to provide the application title for the version information. -->
+  <name>K-Means: Image Clustering</name>
+
+  <description>Clustering applied to 2D graphics data (image).</description>
+
+  <properties>
+    <maven.compiler.source>1.8</maven.compiler.source>
+    <maven.compiler.target>1.8</maven.compiler.target>
+
+    <!-- OSGi -->
+    <commons.osgi.symbolicName>org.apache.commons.math4.examples.kmeans.image</commons.osgi.symbolicName>
+    <commons.osgi.export>org.apache.commons.math4.examples.kmeans.image</commons.osgi.export>
+    <!-- Java 9+ -->
+    <commons.automatic.module.name>org.apache.commons.math4.examples.kmeans.image</commons.automatic.module.name>
+    <!-- Workaround to avoid duplicating config files. -->
+    <math.parent.dir>${basedir}/../../..</math.parent.dir>
+
+    <uberjar.name>examples-kmeans-image</uberjar.name>
+    <project.mainClass>org.apache.commons.math4.examples.kmeans.image.StandAlone</project.mainClass>
+  </properties>
+
+  <dependencies>
+
+    <dependency>
+      <groupId>org.apache.commons</groupId>
+      <artifactId>commons-geometry-euclidean</artifactId>
+    </dependency>
+
+    <dependency>
+      <groupId>org.apache.commons</groupId>
+      <artifactId>commons-math4-legacy</artifactId>
+    </dependency>
+
+    <dependency>
+      <groupId>org.apache.commons</groupId>
+      <artifactId>commons-imaging</artifactId>
+    </dependency>
+
+  </dependencies>
+
+</project>
diff --git a/commons-math-examples/examples-kmeans/image/src/main/java/org/apache/commons/math4/examples/kmeans/image/ImageData.java b/commons-math-examples/examples-kmeans/image/src/main/java/org/apache/commons/math4/examples/kmeans/image/ImageData.java
new file mode 100644
index 0000000..44b98ec
--- /dev/null
+++ b/commons-math-examples/examples-kmeans/image/src/main/java/org/apache/commons/math4/examples/kmeans/image/ImageData.java
@@ -0,0 +1,151 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.apache.commons.math4.examples.kmeans.image;
+
+import java.io.File;
+import java.io.IOException;
+import java.io.UncheckedIOException;
+import java.util.List;
+import java.util.ArrayList;
+import java.util.Collection;
+import java.util.Collections;
+import java.awt.image.BufferedImage;
+import java.awt.image.Raster;
+import java.awt.image.WritableRaster;
+import org.apache.commons.imaging.Imaging;
+import org.apache.commons.imaging.ImageFormat;
+import org.apache.commons.imaging.ImageFormats;
+import org.apache.commons.imaging.ImageReadException;
+import org.apache.commons.imaging.ImageWriteException;
+import org.apache.commons.math4.legacy.ml.clustering.Clusterable;
+import org.apache.commons.math4.legacy.ml.clustering.Cluster;
+
+/**
+ * Retrieve pixel contents from an image file.
+ */
+final class ImageData {
+    /** Image data. */
+    private final Raster data;
+    /** Pixel dataset. */
+    private final List<PixelClusterable> pixels = new ArrayList<>();
+
+    /**
+     * @param image Image.
+     */
+    private ImageData(BufferedImage image) {
+        data = image.getData();
+
+        // Build dataset.
+        for (int row = 0; row < image.getHeight(); row++) {
+            for (int col = 0; col < image.getWidth(); col++) {
+                pixels.add(new PixelClusterable(col, row));
+            }
+        }
+    }
+
+    /**
+     * Load from file.
+     *
+     * @param file Graphics file.
+     * @return a new instance.
+     */
+    static ImageData load(String file) {
+        try {
+            return new ImageData(Imaging.getBufferedImage(new File(file)));
+        } catch (IOException e) {
+            throw new UncheckedIOException(e);
+        } catch (ImageReadException e) {
+            throw new RuntimeException(e);
+        }
+    }
+
+    /**
+     * Create clustered image and write it to a file in PNG format.
+     *
+     * @param clusters Clusters.
+     * @param outputPrefix Prefix of the output file.
+     * Graphics format extension will be appended.
+     */
+    void write(List<? extends Cluster<PixelClusterable>> clusters,
+               String outputPrefix) {
+        final BufferedImage imageC = new BufferedImage(data.getWidth(),
+                                                       data.getHeight(),
+                                                       BufferedImage.TYPE_INT_RGB);
+
+        final WritableRaster raster = imageC.getRaster();
+
+        for (Cluster<PixelClusterable> cluster : clusters) {
+            final double[] color = cluster.centroid().getPoint();
+            for (PixelClusterable pixel : cluster.getPoints()) {
+                raster.setPixel(pixel.x, pixel.y, color);
+            }
+        }
+
+        try {
+            final ImageFormat format = ImageFormats.PNG;
+            Imaging.writeImage(imageC,
+                               new File(outputPrefix + format.getDefaultExtension()),
+                               format);
+        } catch (IOException e) {
+            throw new UncheckedIOException(e);
+        } catch (ImageWriteException e) {
+            throw new RuntimeException(e);
+        }
+    }
+
+    /**
+     * @return the dataset.
+     */
+    Collection<PixelClusterable> getPixels() {
+        return Collections.unmodifiableCollection(pixels);
+    }
+
+    /**
+     * Bridge that presents a pixel as clusterable data.
+     * Instances are mutable; they keep a reference to the original
+     * image data.
+     */
+    class PixelClusterable implements Clusterable {
+        /** Pixel abscissa. */
+        private final int x;
+        /** Pixel ordinate. */
+        private final int y;
+        /** Pixel color. */
+        private double[] color;
+
+        /**
+         * @param x Abscissa.
+         * @param y Ordinate.
+         */
+        PixelClusterable(int x,
+                         int y) {
+            this.x = x;
+            this.y = y;
+            this.color = null;
+        }
+
+        /** {@inheritDoc} */
+        @Override
+        public double[] getPoint() {
+            if (color == null) {
+                color = data.getPixel(x, y, (double[]) null);
+            }
+            return color;
+        }
+    }
+}
diff --git a/commons-math-examples/examples-kmeans/image/src/main/java/org/apache/commons/math4/examples/kmeans/image/StandAlone.java b/commons-math-examples/examples-kmeans/image/src/main/java/org/apache/commons/math4/examples/kmeans/image/StandAlone.java
new file mode 100644
index 0000000..9f84a4b
--- /dev/null
+++ b/commons-math-examples/examples-kmeans/image/src/main/java/org/apache/commons/math4/examples/kmeans/image/StandAlone.java
@@ -0,0 +1,80 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.apache.commons.math4.examples.kmeans.image;
+
+import java.util.concurrent.Callable;
+
+import picocli.CommandLine;
+import picocli.CommandLine.Option;
+import picocli.CommandLine.Command;
+
+import org.apache.commons.rng.UniformRandomProvider;
+import org.apache.commons.rng.simple.RandomSource;
+import org.apache.commons.math4.legacy.ml.distance.DistanceMeasure;
+import org.apache.commons.math4.legacy.ml.distance.EuclideanDistance;
+import org.apache.commons.math4.legacy.ml.clustering.Clusterer;
+import org.apache.commons.math4.legacy.ml.clustering.KMeansPlusPlusClusterer;
+
+/**
+ * Application class.
+ */
+@Command(description = "Run the application",
+         mixinStandardHelpOptions = true)
+public final class StandAlone implements Callable<Void> {
+    /** The k parameter. */
+    @Option(names = { "-k" }, paramLabel = "K", required = true,
+            description = "Number of clusters.")
+    private int numClusters;
+    /** The maximal number of iterations. */
+    @Option(names = { "-i", "--iterations" }, paramLabel = "N",
+            description = "Allowed number of iterations (default: ${DEFAULT-VALUE}).")
+    private int maxIter = 2000;
+    /** The input file. */
+    @Option(names = { "--image" }, paramLabel = "FILE", required = true,
+            description = "Input file name.")
+    private String inputFile;
+    /** The output prefix. */
+    @Option(names = { "-o", "--output" }, paramLabel = "PREFIX", required = true,
+            description = "Prefix (path) for the output files.")
+    private String outputPrefix;
+
+    /**
+     * Program entry point.
+     *
+     * @param args Command line arguments and options.
+     */
+    public static void main(String[] args) {
+        CommandLine.call(new StandAlone(), args);
+    }
+
+    @Override
+    public Void call() {
+        final ImageData image = ImageData.load(inputFile);
+        final UniformRandomProvider rng = RandomSource.MWC_256.create();
+        final DistanceMeasure distance = new EuclideanDistance();
+        final Clusterer<ImageData.PixelClusterable> algo =
+            new KMeansPlusPlusClusterer<>(numClusters,
+                                          maxIter,
+                                          distance,
+                                          rng);
+        image.write(algo.cluster(image.getPixels()),
+                    outputPrefix + ".k_" + numClusters + ".kmeans.");
+
+        return null;
+    }
+}
diff --git a/commons-math-examples/examples-kmeans/image/src/main/java/org/apache/commons/math4/examples/kmeans/image/package-info.java b/commons-math-examples/examples-kmeans/image/src/main/java/org/apache/commons/math4/examples/kmeans/image/package-info.java
new file mode 100644
index 0000000..df8e6b2
--- /dev/null
+++ b/commons-math-examples/examples-kmeans/image/src/main/java/org/apache/commons/math4/examples/kmeans/image/package-info.java
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+/**
+ * Clustering a 2D graphics (image).
+ */
+
+package org.apache.commons.math4.examples.kmeans.image;
diff --git a/commons-math-examples/examples-kmeans/pom.xml b/commons-math-examples/examples-kmeans/pom.xml
new file mode 100644
index 0000000..b40f5b9
--- /dev/null
+++ b/commons-math-examples/examples-kmeans/pom.xml
@@ -0,0 +1,57 @@
+<?xml version="1.0"?>
+<!--
+   Licensed to the Apache Software Foundation (ASF) under one or more
+   contributor license agreements.  See the NOTICE file distributed with
+   this work for additional information regarding copyright ownership.
+   The ASF licenses this file to You under the Apache License, Version 2.0
+   (the "License"); you may not use this file except in compliance with
+   the License.  You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
+-->
+<project xmlns="http://maven.apache.org/POM/4.0.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 http://maven.apache.org/xsd/maven-4.0.0.xsd">
+  <modelVersion>4.0.0</modelVersion>
+
+  <parent>
+    <groupId>org.apache.commons</groupId>
+    <artifactId>commons-math-examples</artifactId>
+    <version>4.0-SNAPSHOT</version>
+  </parent>
+
+  <artifactId>examples-kmeans</artifactId>
+  <version>4.0-SNAPSHOT</version>
+  <packaging>pom</packaging>
+  <name>K-Means</name>
+
+  <description>K-Means++ clustering sample codes.</description>
+
+  <properties>
+      <!-- Workaround to avoid duplicating config files. -->
+    <math.parent.dir>${basedir}/../..</math.parent.dir>
+  </properties>
+
+  <dependencies>
+
+    <dependency>
+      <groupId>org.apache.commons</groupId>
+      <artifactId>commons-math4-legacy</artifactId>
+    </dependency>
+
+    <dependency>
+      <groupId>info.picocli</groupId>
+      <artifactId>picocli</artifactId>
+    </dependency>
+
+  </dependencies>
+
+  <modules>
+    <module>image</module>
+  </modules>
+
+</project>
diff --git a/commons-math-examples/pom.xml b/commons-math-examples/pom.xml
index e89d8f6..ccef4d6 100644
--- a/commons-math-examples/pom.xml
+++ b/commons-math-examples/pom.xml
@@ -29,8 +29,10 @@
   <packaging>pom</packaging>
   <name>Example applications</name>
 
-  <description>Examples of use of the "Commons Math" library.
-  Codes in this module and its sub-modules are not part of the public API.
+  <description>
+    Usage examples of the "Commons Math" library.
+    Codes in this module and its sub-modules are not part of the library's API;
+    they can be updated or removed at any time.
   </description>
 
   <properties>
@@ -49,6 +51,7 @@
     <math.picocli.version>3.9.5</math.picocli.version>
     <math.rng.version>1.4</math.rng.version>
     <math.geometry.version>1.0</math.geometry.version>
+    <math.imaging.version>1.0-alpha3-SNAPSHOT</math.imaging.version>
 
     <!-- Disable JApiCmp failures (but keep the report). The examples API is allowed to change. -->
     <commons.japicmp.breakBuildOnBinaryIncompatibleModifications>false</commons.japicmp.breakBuildOnBinaryIncompatibleModifications>
@@ -90,6 +93,12 @@
       </dependency>
 
       <dependency>
+        <groupId>org.apache.commons</groupId>
+        <artifactId>commons-imaging</artifactId>
+        <version>${math.imaging.version}</version>
+      </dependency>
+
+      <dependency>
         <groupId>info.picocli</groupId>
         <artifactId>picocli</artifactId>
         <version>${math.picocli.version}</version>
@@ -158,6 +167,7 @@
 
   <modules>
     <module>examples-sofm</module>
+    <module>examples-kmeans</module>
   </modules>
 
 </project>
diff --git a/src/userguide/java/org/apache/commons/math4/userguide/clustering/ImageClusteringExample.java b/src/userguide/java/org/apache/commons/math4/userguide/clustering/ImageClusteringExample.java
deleted file mode 100644
index 67e197a..0000000
--- a/src/userguide/java/org/apache/commons/math4/userguide/clustering/ImageClusteringExample.java
+++ /dev/null
@@ -1,203 +0,0 @@
-/*
- * Licensed to the Apache Software Foundation (ASF) under one or more
- * contributor license agreements.  See the NOTICE file distributed with
- * this work for additional information regarding copyright ownership.
- * The ASF licenses this file to You under the Apache License, Version 2.0
- * (the "License"); you may not use this file except in compliance with
- * the License.  You may obtain a copy of the License at
- *
- *      http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-package org.apache.commons.math4.userguide.clustering;
-
-import java.awt.BorderLayout;
-import java.awt.Color;
-import java.awt.Component;
-import java.awt.Dimension;
-import java.awt.FlowLayout;
-import java.awt.Graphics;
-import java.awt.GridLayout;
-import java.awt.event.ActionEvent;
-import java.awt.event.ActionListener;
-import java.awt.image.BufferedImage;
-import java.awt.image.Raster;
-import java.awt.image.WritableRaster;
-import java.io.File;
-import java.util.ArrayList;
-import java.util.List;
-
-import javax.imageio.ImageIO;
-import javax.swing.BorderFactory;
-import javax.swing.Box;
-import javax.swing.ImageIcon;
-import javax.swing.JButton;
-import javax.swing.JLabel;
-import javax.swing.JPanel;
-import javax.swing.JSpinner;
-import javax.swing.SpinnerNumberModel;
-
-import org.apache.commons.math4.ml.clustering.CentroidCluster;
-import org.apache.commons.math4.ml.clustering.Clusterable;
-import org.apache.commons.math4.ml.clustering.KMeansPlusPlusClusterer;
-import org.apache.commons.math4.userguide.ExampleUtils;
-import org.apache.commons.math4.userguide.ExampleUtils.ExampleFrame;
-
-/**
- * This example shows how clustering can be applied to images.
- */
-@SuppressWarnings("serial")
-public class ImageClusteringExample {
-
-    public static class Display extends ExampleFrame {
-        
-        private BufferedImage referenceImage;
-        private BufferedImage clusterImage;
-        
-        private Raster referenceRaster;
-        
-        private ImagePainter painter;
-        
-        private JSpinner clusterSizeSpinner;
-
-        public Display() throws Exception {
-            setTitle("Commons-Math: Image Clustering Example");
-            setSize(900, 350);
-            
-            setLayout(new FlowLayout());
-
-            Box bar = Box.createHorizontalBox();
-
-            referenceImage = ExampleUtils.resizeImage(
-                    ImageIO.read(new File("resources/ColorfulBird.jpg")),
-                    350,
-                    240,
-                    BufferedImage.TYPE_INT_RGB);
-
-            referenceRaster = referenceImage.getData();
-
-            clusterImage = new BufferedImage(referenceImage.getWidth(),
-                                             referenceImage.getHeight(),
-                                             BufferedImage.TYPE_INT_RGB);
-
-            JLabel picLabel = new JLabel(new ImageIcon(referenceImage));
-            bar.add(picLabel);
-
-            painter = new ImagePainter(clusterImage.getWidth(), clusterImage.getHeight());
-            bar.add(painter);
-
-            JPanel controlBox = new JPanel();
-            controlBox.setLayout(new GridLayout(5, 1));
-            controlBox.setBorder(BorderFactory.createLineBorder(Color.black, 1));
-            
-            JPanel sizeBox = new JPanel();
-            JLabel sizeLabel = new JLabel("Clusters:");
-            sizeBox.add(sizeLabel);
-            
-            SpinnerNumberModel model = new SpinnerNumberModel(3, 2, 10, 1);
-            clusterSizeSpinner = new JSpinner(model);
-            
-            sizeLabel.setLabelFor(clusterSizeSpinner);
-            sizeBox.add(clusterSizeSpinner);
-            controlBox.add(sizeBox, BorderLayout.NORTH);
-
-            JButton startButton = new JButton("Cluster");
-            startButton.setActionCommand("cluster");
-            controlBox.add(startButton, BorderLayout.CENTER);
-
-            bar.add(controlBox);
-
-            add(bar);
-
-            startButton.addActionListener(new ActionListener() {
-                public void actionPerformed(ActionEvent e) {
-                    clusterImage();
-                }
-            });
-        }
-        
-        private void clusterImage() {
-            List<PixelClusterable> pixels = new ArrayList<PixelClusterable>();
-            for (int row = 0; row < referenceImage.getHeight(); row++) {
-                for (int col = 0; col < referenceImage.getWidth(); col++) {
-                    pixels.add(new PixelClusterable(col, row));
-                }
-            }
-            
-            int clusterSize = ((Number) clusterSizeSpinner.getValue()).intValue();
-            KMeansPlusPlusClusterer<PixelClusterable> clusterer =
-                    new KMeansPlusPlusClusterer<PixelClusterable>(clusterSize);
-            List<CentroidCluster<PixelClusterable>> clusters = clusterer.cluster(pixels);
-            
-            WritableRaster raster = clusterImage.getRaster();
-            for (CentroidCluster<PixelClusterable> cluster : clusters) {
-                double[] color = cluster.getCenter().getPoint();
-                for (PixelClusterable pixel : cluster.getPoints()) {
-                    raster.setPixel(pixel.x, pixel.y, color);
-                }
-            }
-            
-            Display.this.repaint();
-        }
-
-        private class PixelClusterable implements Clusterable {
-            
-            private final int x;
-            private final int y;
-            private double[] color;
-            
-            public PixelClusterable(int x, int y) {
-                this.x = x;
-                this.y = y;
-                this.color = null;
-            }
-
-            @Override
-            public double[] getPoint() {
-                if (color == null) {
-                    color = referenceRaster.getPixel(x, y, (double[]) null);
-                }
-                return color;
-            }
-
-        }
-
-        private class ImagePainter extends Component {
-            
-            private int width;
-            private int height;
-
-            public ImagePainter(int width, int height) {
-                this.width = width;
-                this.height = height;
-            }
-
-            public Dimension getPreferredSize() {
-                return new Dimension(width, height);
-            }
-
-            @Override
-            public Dimension getMinimumSize() {
-                return getPreferredSize();
-            }
-
-            @Override
-            public Dimension getMaximumSize() {
-                return getPreferredSize();
-            }
-
-            public void paint(Graphics g) {
-                g.drawImage(clusterImage, 0, 0, this);
-            }
-        }
-    }
-
-    public static void main(String[] args) throws Exception {
-        ExampleUtils.showExampleFrame(new Display());
-    }
-}
diff --git a/src/userguide/resources/ColorfulBird.jpg b/src/userguide/resources/ColorfulBird.jpg
deleted file mode 100644
index 5753596..0000000
Binary files a/src/userguide/resources/ColorfulBird.jpg and /dev/null differ