Shape
We discussed many methods for curve and surface generation. In this chapter, we shall discuss some ways to inspect the geometric quality of those curves and surfaces, and develop a few ideas on how to remove shape imperfections. There is a growing interest in this area; see for example, the collection of Sapidis [532].
23.1 Use of Curvature Plots
A spline curve is typically obtained in one of two ways: as a curve that interpolates to given data points, or as the result of interactive manipulation of a B-spline polygon. In both cases, it is hard to tell from the display on the screen if the shape of the curve is acceptable or not: two curves may look identical on the screen, yet reveal significant shape differences when plotted to full ...
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