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» Topological Evolution of Surfaces
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COMPGEOM
2004
ACM
15 years 3 months ago
Sampling and meshing a surface with guaranteed topology and geometry
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...
SIGGRAPH
1997
ACM
15 years 2 months ago
Guaranteeing the topology of an implicit surface polygonization for interactive modeling
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...
Barton T. Stander, John C. Hart
IPMI
2005
Springer
15 years 10 months ago
Topology Preserving Tissue Classification with Fast Marching and Topology Templates
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. ...
Pierre-Louis Bazin, Dzung L. Pham
SIGGRAPH
1995
ACM
15 years 1 months ago
Modeling surfaces of arbitrary topology using manifolds
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, ...
Cindy Grimm, John F. Hughes
IPMI
2005
Springer
15 years 10 months ago
A Genetic Algorithm for the Topology Correction of Cortical Surfaces
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...
Florent Ségonne, W. Eric L. Grimson, Bruce ...