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BMVC
2001
13 years 10 months ago
A Buyer's Guide to Euclidean Elliptical Cylindrical and Conical Surface Fitting
The ability to construct CAD or other object models from edge and range data has a fundamental meaning in building a recognition and positioning system. While the problem of model...
Petko Faber, Robert B. Fisher
SMI
2005
IEEE
117views Image Analysis» more  SMI 2005»
14 years 1 months ago
Contouring 1- and 2-Manifolds in Arbitrary Dimensions
We propose an algorithm for contouring k-manifolds (k = 1, 2) embedded in an arbitrary n-dimensional space. We assume (n−k) geometric constraints are represented as polynomial e...
Joon-Kyung Seong, Gershon Elber, Myung-Soo Kim
JAT
2010
109views more  JAT 2010»
13 years 6 months ago
Networks of polynomial pieces with application to the analysis of point clouds and images
We consider H¨older smoothness classes of surfaces for which we construct piecewise polynomial approximation networks, which are graphs with polynomial pieces as nodes and edges ...
Ery Arias-Castro, Boris Efros, Ofer Levi
SMA
2009
ACM
141views Solid Modeling» more  SMA 2009»
14 years 4 days ago
Robust principal curvatures using feature adapted integral invariants
Principal curvatures and principal directions are fundamental local geometric properties. They are well defined on smooth surfaces. However, due to the nature as higher order di...
Yu-Kun Lai, Shi-Min Hu, Tong Fang
ICCV
2007
IEEE
14 years 9 months ago
On the Differential Geometry of 3D Flow Patterns: Generalized Helicoids and Diffusion MRI Analysis
Configurations of dense locally parallel 3D curves occur in medical imaging, computer vision and graphics. Examples include white matter fibre tracts, textures, fur and hair. We d...
Peter Savadjiev, Steven W. Zucker, Kaleem Siddiqi