Minimal partitions and image classification using a gradient-free perimeter approximation

DOI10.3934/ipi.2014.8.361zbMath1304.49085OpenAlexW2030246587MaRDI QIDQ479847

Nicolas Van Goethem, Antonio André Novotny, Samuel Amstutz

Publication date: 5 December 2014

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/ipi.2014.8.361

zbMATH Keywords

image classificationoptimal partitionsdeblurringperimeter approximation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Boundary value problems for second-order elliptic equations (35J25) Variational problems in a geometric measure-theoretic setting (49Q20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods involving semicontinuity and convergence; relaxation (49J45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10) Discrete approximations in optimal control (49M25)

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