Combinatorial Gradient Fields for 2D Images with Empirically Convergent Separatrices
2012 (English)Other (Other academic)
This paper proposes an efficient probabilistic method that computes combinatorial gradient fields for two dimensional image data. In contrast to existing algorithms, this approach yields a geometric Morse-Smale complex that converges almost surely to its continuous counterpart when the image resolution is increased. This approach is motivated using basic ideas from probability theory and builds upon an algorithm from discrete Morse theory with a strong mathematical foundation. While a formal proof is only hinted at, we do provide a thorough numerical evaluation of our method and compare it to established algorithms.
Place, publisher, year, edition, pages
Research subject Computer Science; SRA - E-Science (SeRC)
IdentifiersURN: urn:nbn:se:kth:diva-184841OAI: oai:DiVA.org:kth-184841DiVA: diva2:916895
QC 201604182016-04-052016-04-052016-04-18Bibliographically approved