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Nowadays digital image compression and decompression techniques are very much important. So our aim is to calculate the quality of face and other regions of the compressed image with respect to the original image. Image segmentation is…

Computer Vision and Pattern Recognition · Computer Science 2014-02-07 Abhishek Bhattacharya , Tanusree Chatterjee

Detecting the edges of objects within images is critical for quality image processing. We present an edge-detecting technique that uses morphological amoebas that adjust their shape based on variation in image contours. We evaluate the…

Computer Vision and Pattern Recognition · Computer Science 2011-08-23 Won Yeol Lee , Young Woo Kim , Se Yun Kim , Jae Young Lim , Dong Hoon Lim

In image processing tasks, spatial priors are essential for robust computations, regularization, algorithmic design and Bayesian inference. In this paper, we introduce weighted mean curvature (WMC) as a novel image prior and present an…

Computer Vision and Pattern Recognition · Computer Science 2020-07-23 Yuanhao Gong , Orcun Goksel

The analytic dilation method was originally used in the context of many body Schr\"odinger operators. In this paper we adapt it to the context of compatible Laplacians on complete manifolds with corners of codimension two. As in the…

Spectral Theory · Mathematics 2011-03-07 Leonardo A. Cano García

We propose a nonlinear filter for noise removal based on the Laplacian for 1D and 2D data. The method utilizes the solution to a fourth-order nonlinear PDE involving the Laplacian for data reconstruction. Evolution equations are introduced…

Numerical Analysis · Mathematics 2024-08-27 Nguyen S Hoang

Digital artists often improve the aesthetic quality of digital photographs through manual retouching. Beyond global adjustments, professional image editing programs provide local adjustment tools operating on specific parts of an image.…

Computer Vision and Pattern Recognition · Computer Science 2020-04-01 Sean Moran , Pierre Marza , Steven McDonagh , Sarah Parisot , Gregory Slabaugh

Image smoothing is a fundamental procedure in applications of both computer vision and graphics. The required smoothing properties can be different or even contradictive among different tasks. Nevertheless, the inherent smoothing nature of…

Graphics · Computer Science 2019-11-28 Wei Liu , Pingping Zhang , Yinjie Lei , Xiaolin Huang , Jie Yang , Ian Reid

We propose a multi-dimensional persistent sheaf Laplacian (MPSL) framework on simplicial complexes for image analysis. The proposed method is motivated by the strong sensitivity of commonly used dimensionality reduction techniques, such as…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Xiang Xiang Wang , Guo-Wei Wei

With the rapid development of high-resolution 3D vision applications, the traditional way of manipulating surface detail requires considerable memory and computing time. To address these problems, we introduce an efficient surface detail…

Computer Vision and Pattern Recognition · Computer Science 2023-07-18 Wuyuan Xie , Miaohui Wang , Di Lin , Boxin Shi , Jianmin Jiang

Real world images often have highly imbalanced content density. Some areas are very uniform, e.g., large patches of blue sky, while other areas are scattered with many small objects. Yet, the commonly used successive grid downsampling…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Chen Ziwen , Kaushik Patnaik , Shuangfei Zhai , Alvin Wan , Zhile Ren , Alex Schwing , Alex Colburn , Li Fuxin

Lagrangian relaxation has been used extensively in the design of approximation algorithms. This paper studies its strengths and limitations when applied to Partial Cover.

Data Structures and Algorithms · Computer Science 2007-12-27 Julián Mestre

Noise is inevitably common in digital images, leading to visual image deterioration. Therefore, a suitable filtering method is required to lessen the noise while preserving the image features (edges, corners, etc.). This paper presents the…

Computer Vision and Pattern Recognition · Computer Science 2024-09-20 Vikas Singh

Optimization-based filtering smoothes an image by minimizing a fidelity function and simultaneously preserves edges by exploiting a sparse norm penalty over gradients. It has obtained promising performance in practical problems, such as…

Graphics · Computer Science 2013-05-20 Chengxi Ye , Dacheng Tao , Mingli Song , David W. Jacobs , Min Wu

This paper presents a state-of-the-art filter that reduces the complexity in object detection, tracking and mapping applications. Existing edge detection and tracking methods are proposed to create suitable autonomy for mobile robots,…

Robotics · Computer Science 2021-01-14 Seyed Amir Tafrishi , Xiaotian Dai , Vahid Esmaeilzadeh Kandjani

A novel energy-efficient edge computing paradigm is proposed for real-time deep learning-based image upsampling applications. State-of-the-art deep learning solutions for image upsampling are currently trained using either resize or…

Computer Vision and Pattern Recognition · Computer Science 2021-07-27 Ian Colbert , Ken Kreutz-Delgado , Srinjoy Das

Image compression has been applied in the fields of image storage and video broadcasting. However, it's formidably tough to distinguish the subtle quality differences between those distorted images generated by different algorithms. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Kaiqun Wu , Xiaoling Jiang , Rui Yu , Yonggang Luo , Tian Jiang , Xi Wu , Peng Wei

The use of Laplacian eigenfunctions is ubiquitous in a wide range of computer graphics and geometry processing applications. In particular, Laplacian eigenbases allow generalizing the classical Fourier analysis to manifolds. A key drawback…

Graphics · Computer Science 2017-11-03 Simone Melzi , Emanuele Rodolà , Umberto Castellani , Michael M. Bronstein

Edge detection, a basic task in the field of computer vision, is an important preprocessing operation for the recognition and understanding of a visual scene. In conventional models, the edge image generated is ambiguous, and the edge lines…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Dawei Dai , Chunjie Wang , Shuyin Xia , Yingge Liu , Guoyin Wang

Image representation is a fundamental task in computer vision. Recently, Gaussian Splatting has emerged as an efficient representation framework, and its extension to 2D image representation enables lightweight, yet expressive modeling of…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Masaya Takabe , Hiroshi Watanabe , Sujun Hong , Tomohiro Ikai , Zheming Fan , Ryo Ishimoto , Kakeru Sugimoto , Ruri Imichi

Inpainting arbitrary missing regions is challenging because learning valid features for various masked regions is nontrivial. Though U-shaped encoder-decoder frameworks have been witnessed to be successful, most of them share a common…

Computer Vision and Pattern Recognition · Computer Science 2021-05-19 Manyu Zhu , Dongliang He , Xin Li , Chao Li , Fu Li , Xiao Liu , Errui Ding , Zhaoxiang Zhang