Sweeping with all graphical ingredients in a topological picturebook
Date
1992
Authors
Akman, V.
Arslan, A.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Computers and Graphics
Print ISSN
0097-8493
Electronic ISSN
Publisher
Elsevier
Volume
16
Issue
3
Pages
273 - 281
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
Sweeping is a powerful method to generate 3-D shapes in geometric modeling. In this paper we formulate a general matrix to give a mathematical definition of twisted-profiled sweep objects as a discrete approximation. While conceptually simple, our result is, to our best knowledge, the first precise formulation of sweeping with all graphical ingredients, viz. twisting, scaling, rotation, and translation. Twisted-profiled sweeping surfaces defined by contour, profile, trajectory, and guide curves are thus represented in concatenated matrix formulation. In addition, we give interactive methods to generate sweep objects and present sample figures produced within the framework of our implementation Tb, a topological picturebook.