Cage-based Performance Capture

Savoye, Yann

doi:10.1007/978-3-319-01538-5

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Cited by 4 publications

(1 citation statement)

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“…This is required in statistical applications, in computer graphics in the theory of deformable bodies (see, for example, Ref. [6] and the references therein) and in construction of wavelet bases of the space L 2 (D). A refinement process is needed for multiresolution analysis or for multigrid methods, when a grid is not fine enough to solve a problem accurately.…”

Section: Possible Applicationsmentioning

confidence: 99%

Volume Preserving Maps Between p-Balls

Holhoş

Rosca

2019

Symmetry

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We construct a volume preserving map U p from the p-ball B p (r) = x ∈ R 3 , x p ≤ r to the regular octahedron B 1 (r ), for arbitrary p > 0. Then we calculate the inverse U −1 p and we also deduce explicit expressions for U ∞ and U −1 ∞ . This allows us to construct volume preserving maps between arbitrary balls B p (r) and B p (r), and also to map uniform and refinable grids between them. Finally we list some possible applications of our maps.

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Section: Possible Applicationsmentioning

confidence: 99%