Efficient image segmentation using partial differential equations and morphology

DOI10.1016/S0031-3203(00)00109-6zbMath1003.68712WikidataQ126376976 ScholiaQ126376976MaRDI QIDQ5948912

Joachim Weickert

Publication date: 2001

Published in: Pattern Recognition (Search for Journal in Brave)

zbMATH Keywords

segmentation methods

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Pattern recognition, speech recognition (68T10) Computing methodologies and applications (68U99)

Related Items (10)

NUMERICAL IMAGING USING NONLINEAR OPTIMISATION ⋮ Scattered Spaces, Compactifications and an Application to Image Classification Problem ⋮ A topological asymptotic analysis for the regularized grey-level image classification problem ⋮ Application of the topological gradient to image restoration and edge detection ⋮ A semi-implicit level set method for structural shape and topology optimization ⋮ Generalised morphological image diffusion ⋮ From restoration by topological gradient to medical image segmentation via an asymptotic expansion ⋮ Topological optimization with the \(p\)-Laplacian operator and an application in image processing ⋮ Pyramidal watershed segmentation algorithm for high-resolution remote sensing images using discrete wavelet transforms ⋮ A feature-oriented forward–backward diffusion model for intensity image restoration based on level set motion

Cites Work

• Relations between regularization and diffusion filtering
• Unique reconstruction of piecewise-smooth images by minimizing strictly convex nonquadratic functionals
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
• Least squares and bounded variation regularization with nondifferentiable functionals
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