An Analysis of Curvatures of Discrete Surfaces with Boundary Honors Undergraduate Thesis∗ UMBC
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چکیده
While there is a rich literature on methods for computing the curvature of discrete surfaces, the case of discrete surfaces with boundary is often ignored. We show how to compute curvature measures for discrete surfaces with boundary using the theory of normal cycles. Our curvature formulae for discrete surfaces exhibit boundary terms not seen in previous formulae. We also derive error bounds comparing the curvature measure of a discrete surface to the curvature measure of a smooth surface that it approximates.
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تاریخ انتشار 2006