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Center for Nonlinear Studies |
The problem of reconstructing an object from a finite set of its moments is one fundamental to many areas of applied mathematics, including tomography, gravimetry, and signal processing. The moments of a body in Rⁿ encode key geometric information, such as the area, centroid, axis with minimum moment of inertia, etc. Here, we explore the use of low-order, specifically the 0th through 3rd order, geometric moments in the reconstruction of planar objects. Posing the problem as one of nonlinear optimization, we demonstrate high fidelity in the reconstruction of both convex and nonconvex bodies on a computational mesh.
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Access code: 2632 266 9651
Access code: 2632 266 9651
Host: Mikhail Jurievich Shashkov (XCP-4)