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» Direct least-squares fitting of algebraic surfaces
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DICTA
2003
13 years 6 months ago
Algebraic Curve Fitting Support Vector Machines
An algebraic curve is defined as the zero set of a multivariate polynomial. We consider the problem of fitting an algebraic curve to a set of vectors given an additional set of v...
Christian J. Walder, Brian C. Lovell, Peter J. Koo...
SIGGRAPH
1987
ACM
13 years 8 months ago
Direct least-squares fitting of algebraic surfaces
In the course of developing a system for fitting smooth curves to camera input we have developed several direct (i.e. noniterative) methods for fitting a shape (line, circle, conic...
Vaughan R. Pratt
SMA
2008
ACM
154views Solid Modeling» more  SMA 2008»
13 years 5 months ago
Consistent computation of first- and second-order differential quantities for surface meshes
Differential quantities, including normals, curvatures, principal directions, and associated matrices, play a fundamental role in geometric processing and physics-based modeling. ...
Xiangmin Jiao, Hongyuan Zha
CGF
2010
157views more  CGF 2010»
13 years 2 months ago
Non-iterative Second-order Approximation of Signed Distance Functions for Any Isosurface Representation
Signed distance functions (SDF) to explicit or implicit surface representations are intensively used in various computer graphics and visualization algorithms. Among others, they ...
Vladimir Molchanov, Paul Rosenthal, Lars Linsen

Publication
400views
15 years 4 days ago
Enforcing Integrability by Error Correction using L1-minimization
Surface reconstruction from gradient fields is an important final step in several applications involving gradient manipulations and estimation. Typically, the resulting gradient ...
Dikpal Reddy, Amit K. Agrawal, Rama Chellappa