HARMON NORTHRUP MORSE

Warren Harmon Lewis (1870-1964)

As one of the first to work at the Carnegie Institution of Washington [5] Department of Embryology, Warren Harmon Lewis made a number of contributions to the field of embryology [6]. In addition to his experimental discoveries on muscle development and the eye, Lewis also published and revised numerous works of scientific literature, including papers in the Carnegie Contributions to Embryology ...

Morse Homology

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Morse Theory

Modeling Three-Dimensional Morse and Morse-Smale Complexes

Morse and Morse-Smale complexes have been recognized as a suitable tool for modeling the topology of a manifold M through a decomposition of M induced by a scalar field f defined over M. We consider here the problem of representing, constructing and simplifying Morse and Morse-Smale complexes in 3D. We first describe and compare two data structures for encoding 3D Morse and Morse-Smale complexe...

Simplification of Morse Decompositions Using Morse Set Mergers

A common problem of vector field topology algorithms is the large number of the resulting topological features. This paper describes a method to simplify Morse decompositions by iteratively merging pairs of Morse sets that are adjacent in the Morse Connection Graph (MCG). When Morse sets A and B are merged, they are replaced by a single Morse set, that can be thought of as the union of A, B and...