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Medial Axis Isoperimetric Profiles
(The Eurographics Association and John Wiley & Sons Ltd., 2020)
Recently proposed as a stable means of evaluating geometric compactness, the isoperimetric profile of a planar domain measures the minimum perimeter needed to inscribe a shape with prescribed area varying from 0 to the ...
Hexahedral Mesh Repair via Sum-of-Squares Relaxation
(The Eurographics Association and John Wiley & Sons Ltd., 2020)
The validity of trilinear hexahedral (hex) mesh elements is a prerequisite for many applications of hex meshes, such as finite element analysis. A commonly used check for hex mesh validity evaluates mesh quality on the ...