Image edges resolved well when using an overcomplete\n piecewise-polynomial model

2018/10/15 by Michaela Novosadová, Novosadová, Michaela, Pavel Rajmic +1
Computer Science · Engineering · #FOS: Mathematics #Image and Signal Denoising Methods #Medical Image Segmentation Techniques #Optimization and Control (math.OC) #Remote-Sensing Image Classification #Sparse and Compressive Sensing Techniques

paper · pdf · doi:10.48550/arxiv.1810.06469

openalex publication_date 2018/10/15 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28

Abstract

Used in the paper is an overcomplete piecewise-polynomial image model\nincorporating sparsity. The paper shows that using such a model, the edges in\nthe image can be resolved robustly with respect to noise. Two variants of the\nproposed approach are both shown to be superior to the use of the classic edge\ndetecting kernels. The proposed method is in turn also suitable for image\nsegmentation.\n

Citations

• The group fused Lasso for multiple change-point detection
• Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA)

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