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JCDCG
2004
Springer
15 years 3 months ago
The Geometry of Musical Rhythm
Abstract. Musical rhythm is considered from the point of view of geometry. The interaction between the two fields yields new insights into rhythm and music theory, as well as new ...
Godfried T. Toussaint
DGCI
2006
Springer
15 years 1 months ago
Duality and Geometry Straightness, Characterization and Envelope
Duality applied to geometrical problems is widely used in many applications in computer vision or computational geometry. A classical example is the Hough Transform to detect linea...
Jean-Marc Chassery, David Coeurjolly, Isabelle Siv...
DGCI
2005
Springer
15 years 3 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
COMPGEOM
2007
ACM
15 years 1 months ago
An optimal generalization of the centerpoint theorem, and its extensions
We prove an optimal generalization of the centerpoint theorem: given a set P of n points in the plane, there exist two points (not necessarily among input points) that hit all con...
Saurabh Ray, Nabil H. Mustafa
DGCI
2005
Springer
15 years 3 months ago
Reversible Polygonalization of a 3D Planar Discrete Curve: Application on Discrete Surfaces
Abstract. Reversible polyhedral modelling of discrete objects is an important issue to handle those objects. We propose a new algorithm to compute a polygonal face from a discrete ...
Isabelle Sivignon, Florent Dupont, Jean-Marc Chass...