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» Abstract Geometrical Computation for Black Hole Computation
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AFPAC
2000
Springer
267views Mathematics» more  AFPAC 2000»
15 years 6 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
89
Voted
IWCIA
2004
Springer
15 years 7 months 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
EDUTAINMENT
2008
Springer
15 years 3 months ago
Efficient Method for Point-Based Rendering on GPUs
Abstract. We describe methods for high-performance and high-quality rendering of point models, including advanced shading, anti-aliasing, and transparency. we keep the rendering qu...
La-mei Yan, You-wei Yuan
COMGEO
2010
ACM
15 years 2 months ago
Flexible isosurfaces: Simplifying and displaying scalar topology using the contour tree
our tree is an abstraction of a scalar field that encodes the nesting relationships of isosurfaces. We show how to use the contour tree to represent individual contours of a scala...
Hamish Carr, Jack Snoeyink, Michiel van de Panne
TCS
2010
14 years 8 months ago
An optimal algorithm to generate rooted trivalent diagrams and rooted triangular maps
Abstract. A trivalent diagram is a connected, two-colored bipartite graph (parallel edges allowed but not loops) such that every black vertex is of degree 1 or 3 and every white ve...
Samuel Alexandre Vidal