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» Real Parametrization of Algebraic Curves
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GIAE
2004
Springer
275views Mathematics» more  GIAE 2004»
14 years 27 days ago
Conic Sections and Meet Intersections in Geometric Algebra
This paper first gives a brief overview over some interesting descriptions of conic sections, showing formulations in the three geometric algebras of Euclidean spaces, projective ...
Eckhard M. S. Hitzer
GMP
2002
IEEE
172views Solid Modeling» more  GMP 2002»
14 years 14 days ago
Classifying the Nonsingular Intersection Curve of Two Quadric Surfaces
We present new results on classifying the morphology of the nonsingular intersection curve of two quadrics by studying the roots of the characteristic equation, or the discriminan...
Changhe Tu, Wenping Wang, Jiaye Wang
MICS
2010
128views more  MICS 2010»
13 years 2 months ago
Arrangements on Parametric Surfaces II: Concretizations and Applications
We describe the algorithms and implementation details involved in the concretizations of a generic framework that enables exact construction, maintenance, and manipulation of arran...
Eric Berberich, Efi Fogel, Dan Halperin, Michael K...
ECCV
2000
Springer
13 years 12 months ago
On Calibration and Reconstruction from Planar Curves
We describe in this paper closed-form solutions to the following problems in multi-view geometry of n'th order curves: i recovery of the fundamental matrix from 4 or more c...
Jeremy Yermiyahou Kaminski, Amnon Shashua
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