Subdivision of curves and surfaces: An overview

Date
2007
Authors
Herbst B.
Hunter K.M.
Rossouw E.
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Subdivision schemes are widely used in various applications such as data-fitting, com puter graphics and solid modeling. In this paper we present the basic ideas of subdivision schemes for curves; both interpolatory and corner-cutting schemes, as well as their adaptation to finite se quences. We conclude with examples of specific applications for these subdivision schemes and provide an example of surface subdivision.
Description
Keywords
Basic idea, Curves and surfaces, Interpolatory, Solid-modeling, Subdivision schemes, Surface subdivision, Approximation theory, Curve fitting, Three dimensional computer graphics
Citation
Transactions of the South African Institute of Electrical Engineers
98
2