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Geometric and topological inference /

Geometric and topological inference deals with the retrieval of information about a geometric object using only a finite set of possibly noisy sample points. It has connections to manifold learning and provides the mathematical and algorithmic foundations of the rapidly evolving field of topological...

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Bibliographic Details
Main Authors: Boissonnat, J.-D. (Jean-Daniel), 1953- (Author), Chazal, Frédéric, 1971- (Author), Yvinec, Mariette, 1953- (Author)
Format: Book
Language:English
Published: Cambridge ; New York : Cambridge University Press, [2018]
Series:Cambridge texts in applied mathematics.
Subjects:
Shapes > Mathematical models.
Geometric analysis.
Pattern perception.
Topology.
Table of Contents:
  • Part I. Topological Preliminaries : 1. Topological Spaces
  • 2. Simplicial Complexes
  • Part II. Display Complexes : 3. Convex Polytopes
  • 4. Delaunay Complexes
  • 5. Good Triangulations
  • 6. Delaunay Filtrations
  • Part III. Reconstruction of Smooth Submanifolds : 7. Triangulation of Submanifolds
  • 8. Reconstruction of Submanifolds
  • Part IV. Distance-Based Inference : 9. Stability of Distance Functions
  • 19. Distance to Probability Measures
  • 11. Homology Inference.