Abstract
Freeform surfaces are commonly used in computer aided geometric design, so accurate analysis of surface properties is becoming increasingly important. In this paper, we define surface slope and surface speed, develop visualization tools, and demonstrate that they can be useful in the design process. Generally, surface properties such as curvature and twist are evaluated at a finite set of predetermined samples on the surface. This paper takes a different approach. A small set of tools is used to symbolically compute surfaces representing curvature, twist and other properties. These surfaces are then analyzed using numeric techniques.
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