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ICPR
2010
IEEE
15 years 7 months ago
Hyper Least Squares and Its Applications
We present a new form of least squares (LS), called “hyperLS”, for geometric problems that frequently appear in computer vision applications. Doing rigorous error analysis, we...
Prasanna Rangarajan, Kenichi Kanatani, Hirotaka Ni...
GRAPHITE
2004
ACM
16 years 5 days ago
Robust, geometry-independent shadow volumes
A novel algorithm is presented that overcomes limitations of existing shadow volume algorithms when dealing with nonmanifold geometry and space partitioning. This simple algorithm...
Graham Aldridge, Eric Woods
159
Voted
IWCIA
2004
Springer
16 years 3 days ago
Tensor Algebra: A Combinatorial Approach to the Projective Geometry of Figures
Abstract. This paper explores the combinatorial aspects of symmetric and antisymmetric forms represented in tensor algebra. The development of geometric perspective gained from ten...
David N. R. McKinnon, Brian C. Lovell
AFPAC
2000
Springer
267views Mathematics» more  AFPAC 2000»
15 years 11 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»
15 years 6 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