This paper presents an algorithm for sampling and triangulating a generic C2 -smooth surface Σ ⊂ R3 that is input with an implicit equation. The output triangulation is guarant...
Siu-Wing Cheng, Tamal K. Dey, Edgar A. Ramos, Tath...
Morse theory shows how the topology of an implicit surface is affected by its function’s critical points, whereas catastrophe theory shows how these critical points behave as th...
Abstract. This paper presents a novel approach for object segmentation in medical images that respects the topological relationships of multiple structures as given by a template. ...
We describe an extension of B-splines to surfacesof arbitrary topology, including arbitrary boundaries. The technique inherits many of the properties of B-splines: local control, ...
We propose a technique to accurately correct the spherical topology of cortical surfaces. We construct a mapping from the original surface onto the sphere to detect topological def...