Representation of surfaces
In Chapter 3 we looked at some of the techniques for describing smooth curve shapes. Here we extend these ideas to look at smooth surfaces. The extension from an object, such as a curve, which is one dimensional (even though it is drawn in two- or three-dimensional space), to a surface which is two dimensional brings a number of extra difficulties which various developers in the field have attempted to overcome in various ways. The purpose of this chapter is mainly to examine some of the basic ideas and their inherent problems and so provide the reader with a familiarity with these without aiming to show what all the answers are. Indeed there are many areas of the use of surfaces in design that are not well understood and still present difficulties.
KeywordsControl Point Surface Patch Curve Segment Bezier Curve Computational Concept
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