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» The Geometry of Coin-Weighing Problems
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STOC
2003
ACM
140views Algorithms» more  STOC 2003»
14 years 10 months ago
Cutting triangular cycles of lines in space
We show that n lines in 3-space can be cut into O(n2-1/69 log16/69 n) pieces, such that all depth cycles defined by triples of lines are eliminated. This partially resolves a long...
Boris Aronov, Vladlen Koltun, Micha Sharir
CVPR
2007
IEEE
14 years 12 months ago
A minimal solution to the autocalibration of radial distortion
Epipolar geometry and relative camera pose computation are examples of tasks which can be formulated as minimal problems and solved from a minimal number of image points. Finding ...
Tomás Pajdla, Zuzana Kukelova
COMPGEOM
2004
ACM
14 years 3 months ago
The number of lines tangent to arbitrary convex polyhedra in 3D
We prove that the lines tangent to four possibly intersecting convex polyhedra in   3 with n edges in total form Θ(n2 ) connected components in the worst case. In the generic ca...
Hervé Brönnimann, Olivier Devillers, V...
ICRA
2010
IEEE
132views Robotics» more  ICRA 2010»
13 years 8 months ago
Sampling-based motion planning with temporal goals
Abstract— This paper presents a geometry-based, multilayered synergistic approach to solve motion planning problems for mobile robots involving temporal goals. The temporal goals...
Amit Bhatia, Lydia E. Kavraki, Moshe Y. Vardi
COMPGEOM
2011
ACM
13 years 1 months ago
Metric graph reconstruction from noisy data
Many real-world data sets can be viewed of as noisy samples of special types of metric spaces called metric graphs [16]. Building on the notions of correspondence and GromovHausdo...
Mridul Aanjaneya, Frédéric Chazal, D...