discrete morse theory

A Combined Geometrical and Topological Simplification Hierarchy for Terrain Analysis

We consider the problem of modeling a terrain from both a geometric and a morphological point of view for efficient and effective terrain analysis on large data sets. We devise and implement a simplification hierarchy for a triangulated terrain, …

Efficient Computation and Simplification of Discrete Morse Decompositions on Triangulated Terrains

We consider the problem of efficient computing and simplifying Morse complexes on a Triangulated Irregular Network (TIN) based on discrete Morse theory. We develop a compact encoding for the discrete Morse gradient field, defined by the terrain …