The topological gradient method: from optimal design to image processing

DOI10.1007/s00032-012-0196-5zbMath1262.94005OpenAlexW2054629704MaRDI QIDQ1932788

Yanyan Li

Publication date: 21 January 2013

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-012-0196-5

zbMATH Keywords

image segmentationedge detectionanisotropic diffusionimage denoisingtopological gradientimage inpaintingdemosaicingsuper-resolution

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Optimization of shapes other than minimal surfaces (49Q10) Sensitivity analysis for optimization problems on manifolds (49Q12)

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Identification of an embedded tumor using the thermography process and the topological sensitivity analysis method ⋮ A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem ⋮ Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography ⋮ Topological sensitivity analysis for the modified Helmholtz equation under an impedance condition on the boundary of a hole ⋮ Edge detection using topological gradients: a scale-space approach ⋮ Estimates and asymptotic expansions for condenser p-capacities. The anisotropic case of segments ⋮ Automated image restoration and segmentation using Mumford-Shah-like regularization and topological asymptotic expansion ⋮ The topological gradient method for semi-linear problems and application to edge detection and noise removal

Uses Software

• GIMP

Cites Work

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