The Reeb graph is a useful tool in visualizing real-valued data obtained from computational simulations of physical processes. We characterize the evolution of the Reeb graph of a...
Herbert Edelsbrunner, John Harer, Ajith Mascarenha...
We present an algorithm to reconstruct a collection of disjoint smooth closed curves from noisy samples. Our noise model assumes that the samples are obtained by first drawing po...
Siu-Wing Cheng, Stefan Funke, Mordecai J. Golin, P...
Given a set H of n hyperplanes in IRd , we present an algorithm that ε-approximates the extent between the top and bottom k levels of the arrangement of H in time O(n+(k/ε)c), w...
Given a polygonal curve and a geometric graph, we describe an efficient algorithm to find a path in the graph which is most similar to the curve, using the well-known Fr´echet d...
Carola Wenk, Helmut Alt, Alon Efrat, Lingeshwaran ...
This paper describes a method to accelerate the generation of shape primitives for N-dimensional images N X . These shape primitives can be used in conditions for topology preservi...