The nonlinear statistics of high-contrast patches in natural images
From MaRDI portal
Publication:1410787
DOI10.1023/A:1023705401078zbMath1070.68661OpenAlexW2120023453MaRDI QIDQ1410787
David Mumford, Ann B. Lee, Kim Steenstrup Pedersen
Publication date: 15 October 2003
Published in: International Journal of Computer Vision (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1023705401078
higher-order statisticsclutternatural image statisticsgeometrically based statisticshigh-dimensional probability density estimationmicroimagesnon-linear sparse codingpixel-based image models
Related Items
Generalization of the weighted nonlocal Laplacian in low dimensional manifold model ⋮ Vector diffusion maps and the connection Laplacian ⋮ Clear and Compress: Computing Persistent Homology in Chunks ⋮ Multivariate statistical models for image denoising in the wavelet domain ⋮ Improved graph cut model with features of superpixels and neighborhood patches for myocardium segmentation from ultrasound image ⋮ Wasserstein-Based Projections with Applications to Inverse Problems ⋮ Hypotheses for image features, icons and textons ⋮ Zigzag zoology: Rips zigzags for homology inference ⋮ Random Walks on Simplicial Complexes and the Normalized Hodge 1-Laplacian ⋮ A Klein-bottle-based dictionary for texture representation ⋮ Hodge theory on metric spaces. Appendix by Anthony W. Baker ⋮ Topological Approaches to Deep Learning ⋮ Sparse Circular Coordinates via Principal $$\mathbb {Z}$$-Bundles ⋮ Neural network coding of natural images with applications to pure mathematics ⋮ On the local behavior of spaces of natural images ⋮ Signal and image approximation with level-set constraints ⋮ A multivariate distribution for sub-images ⋮ Manifold reconstruction in arbitrary dimensions using witness complexes ⋮ Orientability and diffusion maps ⋮ Topological pattern recognition for point cloud data ⋮ Low Dimensional Manifold Model for Image Processing ⋮ Texture description through histograms of equivalent patterns ⋮ The Simplex Tree: An Efficient Data Structure for General Simplicial Complexes ⋮ Symmetric measures via moments ⋮ Topology and data ⋮ The theory of multidimensional persistence ⋮ Unnamed Item ⋮ Barcodes: The persistent topology of data ⋮ Shared Prior Learning of Energy-Based Models for Image Reconstruction ⋮ A Tale of Two Bases: Local-Nonlocal Regularization on Image Patches with Convolution Framelets