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Audiovisual Mathematics Library

Audiovisual Mathematics Library

Documents 65D17 3 results

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Robust shape reconstruction through optimal transportation - Alliez, Pierre (Author of the conference) | CIRM H

Post-edited

I will describe a recent framework for robust shape reconstruction based on optimal transportation between measures, where the input measurements are seen as distribution of masses. In addition to robustness to defect-laden point sets (hampered with noise and outliers), this approach can reconstruct smooth closed shapes as well as piecewise smooth shapes with boundaries.

68Rxx ; 65D17 ; 65D18

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Towards complex and realistic tokamaks geometries in computational plasma physics - Ratnani, Ahmed (Author of the conference) | CIRM H

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82D10 ; 65D17 ; 65D07 ; 65N50 ; 35K96

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Spherical splines - Prautzsch, Hartmut (Author of the conference) | CIRM H

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The Bézier representation of homogenous polynomials has little and not the usual geometric meaning if we consider the graph of these polynomials over the sphere. However the graph can be seen as a rational surface and has an ordinary rational Bézier representation. As I will show, both Bézier representations are closely related. Further I consider rational spline constructions for spherical surfaces and other closed manifolds with a projective or hyperbolic structure.[-]
The Bézier representation of homogenous polynomials has little and not the usual geometric meaning if we consider the graph of these polynomials over the sphere. However the graph can be seen as a rational surface and has an ordinary rational Bézier representation. As I will show, both Bézier representations are closely related. Further I consider rational spline constructions for spherical surfaces and other closed manifolds with a projective ...[+]

65D17 ; 41A15 ; 65D05 ; 65D07

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