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DIAGRAMS
2006
Springer
13 years 11 months ago
The Mathematics of Boundaries: A Beginning
The intuitive properties of configurations of planar non-overlapping closed curves (boundaries) are presented as a pure boundary mathematics. The mathematics, which is not incorpor...
William Bricken
ADCM
2006
57views more  ADCM 2006»
13 years 7 months ago
Duality and Riemannian cubics
Riemannian cubics are curves used for interpolation in Riemannian manifolds. Applications in trajectory planning for rigid bodiy motion emphasise the group SO(3) of rotations of E...
Lyle Noakes
JZUSC
2010
129views more  JZUSC 2010»
13 years 6 months ago
Representing conics by low degree rational DP curves
: A DP curve is a new kind of parametric curve defined by Delgado and Peña (2003); it has very good properties when used in both geometry and algebra, i.e., it is shape preserving...
Qian-qian Hu, Guo-jin Wang
ICIP
1998
IEEE
14 years 8 months ago
Covariant Conics Decomposition of Quartics for 2D Object Recognition and Affine Alignment
This paper outlines a geometric parameterization of 2D curves where the parameterization is in terms of geometric invariants and terms that determine an intrinsic coordinate system...
Jean-Philippe Tarel, William Wolovich and David B...
CAD
2004
Springer
13 years 7 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