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DGCI
2005
Springer
15 years 2 months ago
Algorithms for the Topological Watershed
The watershed transformation is an efficient tool for segmenting grayscale images. An original approach to the watershed [1,9] consists in modifying the original image by lowering...
Michel Couprie, Laurent Najman, Gilles Bertrand
DGCI
2005
Springer
15 years 2 months ago
Arbitrary 3D Resolution Discrete Ray Tracing of Implicit Surfaces
A new approach to ray tracing implicit surfaces based on recursive space subdivision is presented in this paper. Interval arithmetic, already used to calculate intersections in ray...
Nilo Stolte
DGCI
2005
Springer
15 years 2 months ago
A Statistical Approach for Geometric Smoothing of Discrete Surfaces
In this article we propose an original method for discrete surface smoothing. This method is based on a statistical estimation of the discrete tangent plane on the voxels of the di...
Bertrand Kerautret, Achille J.-P. Braquelaire
DGCI
2005
Springer
15 years 2 months ago
Discrete Bisector Function and Euclidean Skeleton
Abstract. In this paper, we propose a new definition and an exact algorithm for the discrete bisector function, which is an important tool for analyzing and filtering Euclidean s...
Michel Couprie, Rita Zrour
DGCI
2005
Springer
15 years 2 months ago
The Class of Simple Cube-Curves Whose MLPs Cannot Have Vertices at Grid Points
We consider simple cube-curves in the orthogonal 3D grid of cells. The union of all cells contained in such a curve (also called the tube of this curve) is a polyhedrally bounded s...
Fajie Li, Reinhard Klette
Discrete Geometry
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