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SAC
2009
ACM
14 years 3 months ago
Origami fold as algebraic graph rewriting
We formalize paper fold (origami) by graph rewriting. Origami construction is abstractly described by a rewriting sys), where O is the set of abstract origami’s and ary relation...
Tetsuo Ida, Hidekazu Takahashi
AFPAC
2000
Springer
267views Mathematics» more  AFPAC 2000»
14 years 1 months ago
The Lie Model for Euclidean Geometry
Abstract. In this paper we investigate the Lie model of Lie sphere geometry using Clifford algebra. We employ it to Euclidean geometric problems involving oriented contact to simpl...
Hongbo Li
AML
2008
57views more  AML 2008»
13 years 8 months ago
Sheaf toposes for realizability
We compare realizability models over partial combinatory algebras by embedding them into sheaf toposes. We then use the machinery of Grothendieck toposes and geometric morphisms t...
Steven Awodey, Andrej Bauer
ICIP
2006
IEEE
14 years 10 months ago
Invariant Geometric Representation of 3D Point Clouds for Registration and Matching
Though implicit representations of surfaces have often been used for various computer graphics tasks like modeling and morphing of objects, it has rarely been used for registratio...
Soma Biswas, Gaurav Aggarwal, Rama Chellappa
TOG
2008
134views more  TOG 2008»
13 years 8 months ago
Computing geometry-aware handle and tunnel loops in 3D models
Many applications such as topology repair, model editing, surface parameterization, and feature recognition benefit from computing loops on surfaces that wrap around their `handle...
Tamal K. Dey, Kuiyu Li, Jian Sun, David Cohen-Stei...