An Electronic topological picturebook
Author(s)
Advisor
Akman, VarolDate
1992Publisher
Bilkent University
Language
English
Type
ThesisItem Usage Stats
215
views
views
70
downloads
downloads
Abstract
An electronic topological picturebook is envisaged as a computerized version of
A Topological Picturehook by George K. Francis, .Springer-Verlag, New York
(1987). Francis’ book is full of complicated topological figures, mostly drawn
manually. The main goal of the thesis is to automate the production of such
illustrations and to obtain publication-quality hardcopy using assorted techniques
of computer graphics. To that end, sweeping is discussed as a major
surface modeling tool. Some interactive methods are given to produce interesting
topological surfaces. The program Tb (which stands for ‘Topologybook’)
is described and various pictures generated by this software are presented. Tl·
is a free-form surface modeler and produces topological shapes with little effort.
Central to the implementation of Tb is a paradigm of solid modeling in
which computation of a shape is regarded as sweeping with some parametric
variations, viz. shape = sweep + control.
Keywords
Sweepinginterpolation
Bezier curves
B-spline curves
solid modeling
topology
user interface systems
surfaces