Lower Dimensional Topological Information: Theory and Applications

Lower Dimensional Topological Information: Theory and Applications

Applied Algebraic Topology Network via YouTube Direct link

The idea of the proof

10 of 14

10 of 14

The idea of the proof

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Lower Dimensional Topological Information: Theory and Applications

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

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