A Klein-bottle-based dictionary for texture representation

DOI10.1007/s11263-013-0676-2zbMath1328.68279OpenAlexW2068930740MaRDI QIDQ903458

Jose A. Perea, Gunnar Carlsson

Publication date: 6 January 2016

Published in: International Journal of Computer Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11263-013-0676-2

zbMATH Keywords

Fourier coefficientsKlein bottledensity estimationtexture classificationpatch distributiontexture representation

Mathematics Subject Classification ID

Density estimation (62G07) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Image analysis in multivariate analysis (62H35) Computing methodologies for image processing (68U10) Pattern recognition, speech recognition (68T10)

Related Items

Geometric and probabilistic limit theorems in topological data analysis ⋮ Approximate and discrete Euclidean vector bundles ⋮ Generalization of the weighted nonlocal Laplacian in low dimensional manifold model ⋮ Persistence curves: a canonical framework for summarizing persistence diagrams ⋮ Optimising the topological information of the \(A_\infty \)-persistence groups ⋮ Multiscale projective coordinates via persistent cohomology of sparse filtrations ⋮ Topological Approaches to Deep Learning ⋮ Tropical coordinates on the space of persistence barcodes ⋮ Topological pattern recognition for point cloud data ⋮ Computing Persistent Homology of Flag Complexes via Strong Collapses ⋮ Tropical Sufficient Statistics for Persistent Homology ⋮ A Tale of Two Bases: Local-Nonlocal Regularization on Image Patches with Convolution Framelets ⋮ Approximating persistent homology in Euclidean space through collapses

Uses Software

• CUReT
• KTH-TIPS
• EMD
• LMNN

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Persistent cohomology and circular coordinates
• The structure of images
• On the local behavior of spaces of natural images
• The nonlinear statistics of high-contrast patches in natural images
• The earth mover's distance as a metric for image retrieval
• Topology and data
• Polynomial Roots from Companion Matrix Eigenvalues
• The Klein Bottle: Variations on a Theme
• Density Estimation by Orthogonal Series
• Computer Vision - ECCV 2004
• Representing and recognizing the visual appearance of materials using three-dimensional textons