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» The Geometry of Coin-Weighing Problems
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STOC
2003
ACM
140views Algorithms» more  STOC 2003»
16 years 4 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
16 years 6 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
15 years 10 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»
15 years 3 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
14 years 8 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...