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Curves and surfaces have properties that are difficult to comprehend from a purely symbolic or numeric description. Therefore, visualization is an indispensable tool for controlling the quality and for judging the aesthetic properties of these geometric objects. The same techniques can also be used advantageously for visually evaluating new algorithms and mathematical schemes.The paper describes...
The paper consists of two parts. In the first, an interrogation method for a visualization of curvature behaviour is introduced. The method consists of a generalized focal analysis. The second part concerns the accurate computation of surface behaviour. Arithmetic operations on Bezier surfaces are used to achieve an exact representation of surface properties. With these property surfaces in Bezier...
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