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This work focuses on a parameter-free joint piecewise smooth image denoising and contour detection. Formulated as the minimization of a discrete Mumford-Shah functional and estimated via a theoretically grounded alternating minimization…

Image and Video Processing · Electrical Eng. & Systems 2023-02-01 Charles-Gérard Lucas , Barbara Pascal , Nelly Pustelnik , Patrice Abry

Edge detection in images is the foundation of many complex tasks in computer graphics. Due to the feature loss caused by multi-layer convolution and pooling architectures, learning-based edge detection models often produce thick edges and…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Qinghui Hong , Haoyou Jiang , Pingdan Xiao , Sichun Du , Tao Li

Image segmentation and image restoration are two important topics in image processing with great achievements. In this paper, we propose a new multiphase segmentation model by combining image restoration and image segmentation models.…

Computer Vision and Pattern Recognition · Computer Science 2014-05-12 Xiaohao Cai

Boundary detection is essential for a variety of computer vision tasks such as segmentation and recognition. In this paper we propose a unified formulation and a novel algorithm that are applicable to the detection of different types of…

Computer Vision and Pattern Recognition · Computer Science 2012-02-17 Marius Leordeanu , Rahul Sukthankar , Cristian Sminchisescu

The need for an efficient method of integration of a dense normal field is inspired by several computer vision tasks, such as shape-from-shading, photometric stereo, deflectometry, etc. Inspired by edge-preserving methods from image…

Computer Vision and Pattern Recognition · Computer Science 2017-09-19 Yvain Quéau , Jean-Denis Durou , Jean-François Aujol

In this paper, we propose a new two-dimensional directional discrete wavelet transform that can decompose an image into 12 multiscale directional edge components. The proposed transform is designed in a fully discrete setting and thus is…

Signal Processing · Electrical Eng. & Systems 2021-12-03 Kensuke Fujinoki , Keita Ashizawa

We introduce a deterministic approach to edge detection and image segmentation by formulating pseudo-Boolean polynomials on image patches. The approach works by applying a binary classification of blob and edge regions in an image based on…

Computer Vision and Pattern Recognition · Computer Science 2023-08-30 Tendai Mapungwana Chikake , Boris Goldengorin , Alexey Samosyuk

We proposed an efficient iterative thresholding method for multi-phase image segmentation. The algorithm is based on minimizing piecewise constant Mumford-Shah functional in which the contour length (or perimeter) is approximated by a…

Computer Vision and Pattern Recognition · Computer Science 2017-10-11 Dong Wang , Haohan Li , Xiaoyu Wei , Xiaoping Wang

Estimates of image gradients play a ubiquitous role in image segmentation and classification problems since gradients directly relate to the boundaries or the edges of a scene. This paper proposes an unified approach to gradient estimation…

Computer Vision and Pattern Recognition · Computer Science 2016-05-10 Anish Acharya , Uddipan Mukherjee , Charless Fowlkes

In this work we discuss the known algorithms for linear colour segmentation based on a physical approach and propose a new modification of segmentation algorithm. This algorithm is based on a region adjacency graph framework without a…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Anna Smagina , Valentina Bozhkova , Sergey Gladilin , Dmitry Nikolaev

We describe an approach for segmenting an image into regions that correspond to surfaces in the scene that are partially surrounded by the medium. It integrates both appearance and motion statistics into a cost functional, that is seeded…

Computer Vision and Pattern Recognition · Computer Science 2011-09-23 Alper Ayvaci , Stefano Soatto

The focus of this work is on rigorous mathematical analysis of the topological derivative based detection algorithms for the localization of an elastic inclusion of vanishing characteristic size. A filtered quadratic misfit is considered…

Analysis of PDEs · Mathematics 2012-11-29 Habib Ammari , Elie Bretin , Josselin Garnier , Wenjia Jing , Hyeonbae Kang , Abdul Wahab

The paper presents a new model for single channel images low-level interpretation. The image is decomposed into a graph which captures a complete set of structural features. The description allows to accurately identify every edge location…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Alessandro Dal Palu'

Line detection is a classic and essential problem in image processing, computer vision and machine intelligence. Line detection has many important applications, including image vectorization (e.g., document recognition and art design),…

Computer Vision and Pattern Recognition · Computer Science 2025-01-09 Liping Yang , Joshua Driscol , Ming Gong , Katie Slack , Wenbin Zhang , Shujie Wang , Catherine G. Potts

The Minimum Cost Multicut Problem (MP) is a popular way for obtaining a graph decomposition by optimizing binary edge labels over edge costs. While the formulation of a MP from independently estimated costs per edge is highly flexible and…

Computer Vision and Pattern Recognition · Computer Science 2021-12-13 Steffen Jung , Sebastian Ziegler , Amirhossein Kardoost , Margret Keuper

In this article, we present a novel scheme for segmenting the image boundary (with the background) in optoacoustic small animal in vivo imaging systems. The method utilizes a multiscale edge detection algorithm to generate a binary edge…

Detecting edges is a fundamental problem in computer vision with many applications, some involving very noisy images. While most edge detection methods are fast, they perform well only on relatively clean images. Indeed, edges in such…

Computer Vision and Pattern Recognition · Computer Science 2021-10-06 Nati Ofir , Meirav Galun , Boaz Nadler , Ronen Basri

We discuss a general framework for recovering edges in piecewise smooth functions with finitely many jump discontinuities, where $[f](x):=f(x+)-f(x-) \neq 0$. Our approach is based on two main aspects--localization using appropriate…

Numerical Analysis · Mathematics 2025-10-20 Anne Gelb , Eitan Tadmor

We present a progressive image decomposition method based on a novel non-linear filter named Sub-window Variance filter. Our method is specifically designed for image detail enhancement purpose; this application requires extraction of image…

Computer Vision and Pattern Recognition · Computer Science 2021-07-23 Kin-Ming Wong

In this paper we present a new methodology for edge detection in digital images. The first originality of the proposed method is to consider image content as a parametric surface. Then, an original parametric local model of this surface…

Image and Video Processing · Electrical Eng. & Systems 2019-04-24 Rémi Cogranne , Rémi Slysz , Laurence Moreau , Houman Borouchaki