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DCG
1999
74views more  DCG 1999»
13 years 7 months ago
Piles of Cubes, Monotone Path Polytopes, and Hyperplane Arrangements
Monotone path polytopes arise as a special case of the construction of fiber polytopes, introduced by Billera and Sturmfels. A simple example is provided by the permutahedron, whic...
Christos A. Athanasiadis
ECCV
1990
Springer
14 years 9 months ago
Measurement and Integration of 3-D Structures By Tracking Edge Lines
This paper describes techniques for dynamically modeling the 2-D appearance and 3-D geometry of a scene by integrating information from a moving camera. These techniques are illus...
James L. Crowley, Patrick Stelmaszyk
COMPGEOM
2003
ACM
14 years 1 months ago
Long monotone paths in line arrangements
We show how to construct an arrangement of n lines having a monotone path of length Ω(n2−(d/ √ log n)), where d > 0 is some constant, and thus nearly settle the long stan...
József Balogh, Oded Regev, Clifford D. Smyt...
COMPGEOM
2003
ACM
14 years 1 months ago
Controlled perturbation for arrangements of circles
Given a collection C of circles in the plane, we wish to construct the arrangement A(C) (namely the subdivision of the plane into vertices, edges and faces induced by C) using fl...
Dan Halperin, Eran Leiserowitz
DICTA
2003
13 years 9 months ago
The Parameterization of Joint Rotation with the Unit Quaternion
Abstract. Unit quaternion is an ideal parameterization for joint rotations. However, due to the complexity of the geometry of S3 group, it’s hard to specify meaningful joint cons...
Qiang Liu, Edmond C. Prakash