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In this paper, we propose a novel variational model for decomposing images into their respective cartoon and texture parts. Our model characterizes certain non-local features of any Bounded Variation (BV) image by its Total Symmetric…

Computer Vision and Pattern Recognition · Computer Science 2025-03-31 Roy Y. He , Martin Huska , Hao Liu

Reproducing an all-in-focus image from an image with defocus regions is of practical value in many applications, eg, digital photography, and robotics. Using the output of some existing defocus map estimator, existing approaches first…

Computer Vision and Pattern Recognition · Computer Science 2018-08-29 Guodong Xu , Chaoqiang Liu , Hui Ji

Image segmentation is one of the principal approaches of image processing. The choice of the most appropriate Binarization algorithm for each case proved to be a very interesting procedure itself. In this paper, we have done the comparison…

Computer Vision and Pattern Recognition · Computer Science 2011-11-22 Aroop Mukherjee , Soumen Kanrar

Any subset of the plane can be approximated by a set of square pixels. This transition from a shape to its pixelation is rather brutal since it destroys geometric and topological information about the shape. Using a technique inspired by…

Differential Geometry · Mathematics 2011-05-17 Brandon Rowekamp

Image vectorization converts raster images into vector graphics composed of regions separated by curves. Typical vectorization methods first define the regions by grouping similar colored regions via color quantization, then approximate…

Computer Vision and Pattern Recognition · Computer Science 2024-09-25 Roy Y. He , Sung Ha Kang , Jean-Michel Morel

Blind deconvolution is the problem of recovering a sharp image and a blur kernel from a noisy blurry image. Recently, there has been a significant effort on understanding the basic mechanisms to solve blind deconvolution. While this effort…

Computer Vision and Pattern Recognition · Computer Science 2014-12-02 Daniele Perrone , Paolo Favaro

Recent advances in image generation have achieved remarkable visual quality, while a fundamental challenge remains: Can image generation be controlled at the element level, enabling intuitive modifications such as adjusting shapes, altering…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Lanqing Guo , Xi Liu , Yufei Wang , Zhihao Li , Siyu Huang

Image quantization is used in several applications aiming in reducing the number of available colors in an image and therefore its size. De-quantization is the task of reversing the quantization effect and recovering the original…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Kalliopi Basioti , George V. Moustakides

This work presents a progressive image vectorization technique that reconstructs the raster image as layer-wise vectors from semantic-aligned macro structures to finer details. Our approach introduces a new image simplification method…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Zhenyu Wang , Jianxi Huang , Zhida Sun , Yuanhao Gong , Daniel Cohen-Or , Min Lu

The widespread use of vector graphics creates a significant demand for vectorization methods. While recent learning-based techniques have shown their capability to create vector images of clear topology, filling these primitives with…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Hengyu Zhou , Hui Zhang , Bin Wang

A variational model for learning convolutional image atoms from corrupted and/or incomplete data is introduced and analyzed both in function space and numerically. Building on lifting and relaxation strategies, the proposed approach is…

Optimization and Control · Mathematics 2018-12-10 Antonin Chambolle , Martin Holler Thomas Pock

In this letter we propose to denoise digital color images via an improved geometric diffusion scheme. By introducing edges detected from all three color channels into the diffusion the proposed scheme avoids color smearing artifacts. Vector…

Computer Vision and Pattern Recognition · Computer Science 2013-05-16 V. B. Surya Prasath , Juan C. Moreno , K. Palaniappan

SVG (Scalable Vector Graphics) is a widely used graphics format that possesses excellent scalability and editability. Image vectorization, which aims to convert raster images to SVGs, is an important yet challenging problem in computer…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Teng Hu , Ran Yi , Baihong Qian , Jiangning Zhang , Paul L. Rosin , Yu-Kun Lai

Image vectorization is a powerful technique that converts raster images into vector graphics, enabling enhanced flexibility and interactivity. However, popular image vectorization tools struggle with occluded regions, producing incomplete…

Computer Vision and Pattern Recognition · Computer Science 2025-11-14 Ronghuan Wu , Wanchao Su , Jing Liao

Even after over two decades, the total variation (TV) remains one of the most popular regularizations for image processing problems and has sparked a tremendous amount of research, particularly to move from scalar to vector-valued…

Computer Vision and Pattern Recognition · Computer Science 2016-06-21 Joan Duran , Michael Moeller , Catalina Sbert , Daniel Cremers

Image tracing is a foundational component of the workflow in graphic design, engineering, and computer animation, linking hand-drawn concept images to collections of smooth curves needed for geometry processing and editing. Even for clean…

Graphics · Computer Science 2018-09-07 Mikhail Bessmeltsev , Justin Solomon

Text-to-image models give rise to workflows which often begin with an exploration step, where users sift through a large collection of generated images. The global nature of the text-to-image generation process prevents users from narrowing…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Or Patashnik , Daniel Garibi , Idan Azuri , Hadar Averbuch-Elor , Daniel Cohen-Or

The curvature regularities are well-known for providing strong priors in the continuity of edges, which have been applied to a wide range of applications in image processing and computer vision. However, these models are usually non-convex,…

Numerical Analysis · Mathematics 2019-12-03 Qiuxiang Zhong , Ke Yin , Yuping Duan

In the context of optimization, visualization techniques can be useful for understanding the behaviour of optimization algorithms and can even provide a means to facilitate human interaction with an optimizer. Towards this goal, an…

Neural and Evolutionary Computing · Computer Science 2020-07-27 Kyle Robert Harrison , Azam Asilian Bidgoli , Shahryar Rahnamayan , Kalyanmoy Deb

We consider the very challenging task of restoring images (i) which have a large number of missing pixels, (ii) whose existing pixels are corrupted by noise and (iii) the ideal image to be restored contains both cartoon and texture…

Computer Vision and Pattern Recognition · Computer Science 2016-06-10 Duy Hoang Thai , Carsten Gottschlich