Title
Computing rotation distance between contacting polyhedra
Abstract
Distance computation is essential for collision prediction and/or detection in real-world robotic tasks, computer simulation and animation, and CAD/CAM. This paper addresses distance computation to deal with a rarely researched type of collision prediction/detection problem: Given two objects in certain contact, determine if and when a relative rotation constrained by contact will cause a collision (which results in a new contact state) between the two objects. The authors use the positive angle of rotation as the measure of rotation distance and present a method to compute, given two contacting convex polyhedra G and H and a rotation axis containing contact point(s) between them, the shortest rotation distance (SRD) of G which will cause new collision between G and H. The method is fully implemented and used in a computer simulation system for a contact-based fine motion planning scheme. The algorithm is also efficient. If each vertex of G or H is the intersection of neν/ edges, the worst-case time complexity of the algorithm is O(n2eν/). This means that for two arbitrary trihedral polyhedra, the algorithm has a constant worst-time complexity
Year
DOI
Venue
1996
10.1109/ROBOT.1996.503870
ICRA
Keywords
Field
DocType
robots,collision detection,cad/cam,computer animation,collision prediction,worst-case time complexity,contact-based fine motion planning scheme,computational geometry,rotation distance,computational complexity,animation,contacting polyhedra,path planning,worst-time complexity,trihedral polyhedra,contact point,computer simulation,convex polyhedra,tactile sensors,cad cam,computer science,time complexity,motion planning,computer aided manufacturing,euclidean distance
Discrete mathematics,Angle of rotation,Vertex (geometry),Computer science,Control theory,Computational geometry,Polyhedron,Regular polygon,Time complexity,Geometry,Computational complexity theory,Computation
Conference
Volume
Issue
ISSN
1
1
1050-4729
ISBN
Citations 
PageRank 
0-7803-2988-0
3
0.56
References 
Authors
8
2
Name
Order
Citations
PageRank
Jing Xiao130.56
Lixin Zhang257145.96