Heat equations on vector bundles -- application to color image regularization

DOI10.1007/s10851-011-0265-3zbMath1255.94007OpenAlexW2078365709MaRDI QIDQ1932874

Thomas Batard

Publication date: 22 January 2013

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-011-0265-3

zbMATH Keywords

heat equationregularizationRiemannian geometrycolor imagegeneralized Laplaciandifferential geometry of vector bundle

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods of local Riemannian geometry (53B21) Heat kernel (35K08)

Related Items (4)

A variational saturation-value model for image decomposition: illumination and reflectance ⋮ Laplacian operator on statistical manifold ⋮ A class of generalized Laplacians on vector bundles devoted to multi-channel image processing ⋮ Color Image Restoration by Saturation-Value Total Variation Regularization on Vector Bundles

Uses Software

• BSDS

Cites Work

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• Level set methods and dynamic implicit surfaces
• Fast anisotropic smoothing of multi-valued images using curvature-preserving PDE's
• Clifford Bundles: A Common Framework for Image, Vector Field, and Orthonormal Frame Field Regularization
• Clifford–Fourier Transform for Color Image Processing
• A general framework for low level vision
• Image Processing and Analysis

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