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» Proof and Computation in Geometry
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COMPGEOM
2000
ACM
15 years 11 months ago
Computing approximate shortest paths on convex polytopes
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia
COMPGEOM
2000
ACM
15 years 11 months ago
Look - a Lazy Object-Oriented Kernel for geometric computation
In this paper we describe and discuss a new kernel design for geometric computation in the plane. It combines different kinds of floating-point filter techniques and a lazy eval...
Stefan Funke, Kurt Mehlhorn
COCOA
2009
Springer
15 years 10 months ago
Computing the Transitive Closure of a Union of Affine Integer Tuple Relations
Abstract. This paper proposes a method to compute the transitive closure of a union of affine relations on integer tuples. Within Presburger arithmetics, complete algorithms to com...
Anna Beletska, Denis Barthou, Wlodzimierz Bielecki...
CGF
2008
118views more  CGF 2008»
15 years 6 months ago
Manifold-valued Thin-Plate Splines with Applications in Computer Graphics
We present a generalization of thin-plate splines for interpolation and approximation of manifold-valued data, and demonstrate its usefulness in computer graphics with several app...
Florian Steinke, Matthias Hein, Jan Peters, Bernha...
ALENEX
2004
116views Algorithms» more  ALENEX 2004»
15 years 8 months ago
A Computational Framework for Handling Motion
We present a framework for implementing geometric algorithms involving motion. It is written in C++ and modeled after and makes extensive use of CGAL (Computational Geometry Algor...
Leonidas J. Guibas, Menelaos I. Karavelas, Daniel ...