Height Functions and Distance Functions
We now restrict our attention to two classes of functions on surfaces, which have particular importance in computer geometry: height functions and distance functions. In particular, we investigate when such functions are Morse functions. We consider a solid, bounded, connected object in ℝ3, as in Figure 9.1, and assume that it has a smooth boundary. The boundary, therefore, is an orientable compact surface embedded in ℝ3.
KeywordsDistance Function Focal Point Principal Curvature Measure Zero Regular Point
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