On the Optimality of Shape and Data Representation in the Spectral Domain

DOI10.1137/140977680zbMath1360.94038arXiv1409.4349OpenAlexW1669893227MaRDI QIDQ3192647

Yonathan Aflalo, Haim Brezis, Ron Kimmel

Publication date: 13 October 2015

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4349

zbMATH Keywords

principal component analysisshape analysisLaplace-Beltrami

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (9)

Spectral Discovery of Jointly Smooth Features for Multimodal Data ⋮ Best bases for signal spaces ⋮ Laplacian spectral basis functions ⋮ Regularized principal component analysis ⋮ Rigidity of optimal bases for signal spaces ⋮ Sparse approximation of 3D meshes using the spectral geometry of the Hamiltonian operator ⋮ Cryo-EM reconstruction of continuous heterogeneity by Laplacian spectral volumes ⋮ The Steerable Graph Laplacian and its Application to Filtering Image Datasets ⋮ A Tale of Two Bases: Local-Nonlocal Regularization on Image Patches with Convolution Framelets

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