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CAD
2008
Springer
13 years 5 months ago
Dual evolution of planar parametric spline curves and T-spline level sets
By simultaneously considering evolution processes for parametric spline curves and implicitly defined curves, we formulate the framework of dual evolution. This allows us to combin...
Robert Feichtinger, Matthias Fuchs, Bert Jütt...
CAD
2004
Springer
13 years 4 months ago
A shape design system using volumetric implicit PDEs
Solid modeling based on partial differential equations (PDEs) can potentially unify both geometric constraints and functional requirements within a single design framework to mode...
Haixia Du, Hong Qin
PG
2007
IEEE
13 years 11 months ago
Visualisation of Implicit Algebraic Curves
We describe a new algorithm for the visualisation of implicit algebraic curves, which isolates the singular points, compute the topological degree around these points in order to ...
Lionel Alberti, Bernard Mourrain
GMP
2006
IEEE
137views Solid Modeling» more  GMP 2006»
13 years 11 months ago
Theoretically Based Robust Algorithms for Tracking Intersection Curves of Two Deforming Parametric Surfaces
Abstract. This paper presents the mathematical framework, and develops algorithms accordingly, to continuously and robustly track the intersection curves of two deforming parametri...
Xianming Chen, Richard F. Riesenfeld, Elaine Cohen...
CVPR
1998
IEEE
14 years 6 months ago
A New Complex Basis for Implicit Polynomial Curves and its Simple Exploitation for Pose Estimation and Invariant Recognition
New representations are developed for 2D IP (implicit polynomial) curves ofarbitrary degree. These representations permit shape recognition and pose estimation with essentially sin...
David B. Cooper, Jean-Philippe Tarel