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Minkowski dimension
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Classroom Contents
Lower Dimensional Topological Information: Theory and Applications
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- 1 Intro
- 2 Theory: Lower dimensional topological features
- 3 Topological Data Analysis and the dimensionality
- 4 Minkowski dimension
- 5 Support of a density function
- 6 Order of smoothness
- 7 Detection method: scaled covering scheme
- 8 Line segment example revisited
- 9 Regularity conditions
- 10 The idea of the proof
- 11 Generalizations
- 12 Two image segmentation models - 11
- 13 Combining Geometric and Topological Information in Image Segmentation (Luo & Strait, 2019)
- 14 Application: Topological boundary and image segmentation
