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Texture Featuring Based on Watershed

This presentation by Karsten Rodenacker and Uta Jütting discusses the principles of texture featuring and watershed segmentation techniques in image analysis. It covers the definition and properties of texture, followed by a detailed explanation of the watershed algorithm applied to various dimensionalities. The content includes statistical estimators, topological gradient, and various examples that illustrate the differentiation of textures in biomedical contexts, such as breast carcinoma and osteoporosis. The summary encapsulates the potential and challenges of watershed segmentation and texture analysis.

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Texture Featuring Based on Watershed

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  1. Texture Featuring Based on Watershed Karsten Rodenacker, Uta Jütting GSF-Institut für Biomathematik und Biometrie Neuherberg11.05.98

  2. Content • Introduction • Some remarks about watershed • Textural featuring • Examples • Summary

  3. Introduction • Textures Properties Texture elements Regularity ? What is texture? Segmentation

  4. Some remarks about watershed • Definition • Given an image and a local maximum at point m. Consider all monotonous decreasing paths w(m,l) starting from m and ending in l. • The set of all points l is a connected region. • The set of all such regions is a partition of the input image, the order corresponds with the number of local maximums. • The borders of the regions are the watersheds

  5. Some remarks about watershed • Definition (continued) • The inversion of the above definition concerning maximum by minimum and decreasing by increasing delivers a second type of watershed.

  6. Some remarks about watershed • Explanation • 1-dimensional

  7. Some remarks about watershed • Explanation • 2-dimensional

  8. Some remarks about watershed • Explanation • 2-dimensional

  9. Some remarks about watershed • Result of transformation • Input image (original, smoothed 3x3)

  10. Some remarks about watershed • Result of transformation • Watersheds (labelled regions)

  11. Some remarks about watershed • Result of transformation • Watersheds

  12. Some remarks about watershed • Result of transformation • Lower, upper ricefield

  13. Some remarks about watershed • Result of transformation • Half height segmentation HU (black)/HL (white)

  14. Textural featuring • global • Statistical estimators (moments) from: • half height segmentations and original • topological gradient • Derived parameters • stereological (volume densities) • densitometric • morphometric

  15. Textural featuring • global, e.g. volume density mean particle area Euler number Rel. density difference

  16. Textural featuring • heuristical • neighborhood related of connected regions (graph theoretical approach) • connectivity • distances • neighborhood AND intensity related • pattern matching • ...

  17. Examples • global texture features: • VVU Volume density • RDD Relative density difference

  18. Examples • Projects • Differentiation of hormone status of breast carcinoma patients VVU, RDD • Differentiation of osteoblasts under different growth conditions (Osteoporosis) RHUA • Differentiation of neuroendocrine lung tumours HUCV

  19. Examples • global texture features: RDD

  20. Examples

  21. Examples • Projects

  22. Summary + Topology by watershed • Taxonomy of transformation results + Segmentation + Parameter free featuring - Noise sensitivity of watershed - Difficulties of interpretation for natural images (reflected light, shadows, ...)

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