Topological Methods in Computer Vision and Combinatorial Shadows of Persistence
MCML Authors
Nico Stucki
Dr.
* Former Member
Abstract
Nico Stucki
Dr.
* Former Member
Abstract
This dissertation explores the versatility of Topological Data Analysis with a focus on persistent homology. It addresses both theoretical foundations and practical applications in image segmentation. New methods for integrating topological invariants improve segmentation quality, while algebraic analyses provide insights into the combinatorics of barcodes in short exact sequences.
BibTeXKey: Stu26