Article ID Journal Published Year Pages File Type
10346100 Computers & Mathematics with Applications 2015 21 Pages PDF
Abstract
We decrease the rms mean curvature and area of a variable surface with a fixed boundary by iterating a few times through a curvature-based variational algorithm. For a boundary with a known minimal surface, starting with a deliberately chosen non-minimal surface, we achieve up to 65 percent of the total possible decrease in area. When we apply our algorithm to a bilinear interpolant bounded by four non-coplanar straight lines, the area decrease by the same algorithm is only 0.116179 percent of the original value. This relative stability suggests that the bilinear interpolant is already a quasi-minimal surface.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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