Computer-Aided Design With Spatial Rational B-Spline Motions

Using rational motions it is possible to apply many fundamental B-spline techniques to the design of motions. The present paper summarizes the basic theory of rational motions and introduces a linear control structure for piecewise rational motions suitable for geometry processing. Moreover it provi...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mechanical design (1990) 1996-06, Vol.118 (2), p.193-201
Main Authors: Ju¨ttler, B, Wagner, M. G
Format: Article
Language:English
Subjects:
Algorithms
Animation
Applied sciences
Artificial intelligence
Computational geometry
Computer aided design
Computer science
control theory
systems
Constraint theory
Exact sciences and technology
Interpolation
Kinematics
Mathematical transformations
Matrix algebra
Optimization
Pattern recognition. Digital image processing. Computational geometry
Robotics
Software
Tensors
Vectors
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Using rational motions it is possible to apply many fundamental B-spline techniques to the design of motions. The present paper summarizes the basic theory of rational motions and introduces a linear control structure for piecewise rational motions suitable for geometry processing. Moreover it provides algorithms for the calculation of the surface which is swept out by a moving polyhedron and examines interpolation techniques. The methods presented in this paper can be applied to various problems in computer animation as well as in robotics.
ISSN:1050-0472
1528-9001
DOI:10.1115/1.2826869