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15 years 3 months ago
Optimal Approximations by Piecewise Smooth Functions and Associated Variational Problems - [ Mumford-Shah ]
"The purpose of this paper is to introduce and study the most basic properties of three new variational problems which are suggested by applications to computer vision. In com...
David Mumford and Jayant Shah
IJCGA
1998
97views more  IJCGA 1998»
13 years 7 months ago
Triangulation of Branching Contours Using Area Minimization
This paper presents a new method for reconstructing piecewise linear surfaces from planar polygonal contours that branch. For non-branching contours, experience has shown that the...
Mu Hong, Thomas W. Sederberg, Kris Klimaszewski, K...
VISSYM
2003
13 years 8 months ago
Adaptive Smooth Scattered Data Approximation for Large-scale Terrain Visualization
We present a fast method that adaptively approximates large-scale functional scattered data sets with hierarchical B-splines. The scheme is memory efficient, easy to implement an...
Martin Bertram, Xavier Tricoche, Hans Hagen
CVPR
2010
IEEE
14 years 2 months ago
Piecewise Planar and Non-Planar Stereo for Urban Scene Reconstruction
Piecewise planar models for stereo have recently become popular for modeling indoor and urban outdoor scenes. The strong planarity assumption overcomes the challenges presented by...
David Gallup, Jan-Michael Frahm, Marc Pollefeys
CGF
2004
114views more  CGF 2004»
13 years 7 months ago
Smooth Surface Reconstruction Using Tensor Fields as Structuring Elements
We propose a new strategy to estimate surface normal information from highly noisy sparse data. Our approach is based on a tensor field morphologically adapted to infer normals. I...
Marcelo Bernardes Vieira, Paulo P. Martins Jr., Ar...