On Donoho’s Log-Exp Subdivision Scheme: Choice of Retraction and Time-Symmetry

DOI10.1137/100804838zbMath1256.65021OpenAlexW1985026044MaRDI QIDQ2903619

Thomas P.-Y. Yu, Esfandiar Nava-Yazdani

Publication date: 11 August 2012

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7c2fa9adc1a3f16cb692d2f99ed547de1223cd59

zbMATH Keywords

numerical exampleswavelet transformnumerical geometric integrationlinear subdivision schemesmoothness equivalence property

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical methods for wavelets (65T60) Numerical methods for discrete and fast Fourier transforms (65T50) Rate of convergence, degree of approximation (41A25) Continuity and differentiation questions (26B05)

Related Items (11)

Differentiable Piecewise-Bézier Surfaces on Riemannian Manifolds ⋮ Interpolation on symmetric spaces via the generalized polar decomposition ⋮ Subdivision schemes for positive definite matrices ⋮ Single basepoint subdivision schemes for manifold-valued data: time-symmetry without space-symmetry ⋮ On a New Proximity Condition for Manifold-Valued Subdivision Schemes ⋮ Invariance property of proximity conditions in nonlinear subdivision ⋮ De Casteljau's algorithm on manifolds ⋮ Geometric multiscale decompositions of dynamic low-rank matrices ⋮ High-Order Retractions on Matrix Manifolds Using Projected Polynomials ⋮ A necessary and sufficient proximity condition for smoothness equivalence of nonlinear subdivision schemes ⋮ Scattered manifold-valued data approximation

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