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Processing of digital images is continuously gaining in volume and relevance, with concomitant demands on data storage, transmission and processing power. Encoding the image information in quantum-mechanical systems instead of classical…

Edge-preserving image smoothing is a fundamental procedure for many computer vision and graphic applications. There is a tradeoff between the smoothing quality and the processing speed: the high smoothing quality usually requires a high…

Graphics · Computer Science 2020-05-19 Wei Liu , Pingping Zhang , Xiaolin Huang , Jie Yang , Chunhua Shen , Ian Reid

We introduce an arbitrary order, computationally efficient method to smooth corners on curves in the plane, as well as edges and vertices on surfaces in $\mathbb R^3$. The method is local, only modifying the original surface in a…

Numerical Analysis · Mathematics 2016-04-08 Charles L. Epstein , Michael O'Neil

A robust estimator, namely M-smoother, for piecewise-constant smoothing is revisited in this paper. Starting from its generalized formulation, we propose a numerical scheme/framework for solving it via a series of weighted-average filtering…

Computer Vision and Pattern Recognition · Computer Science 2017-12-20 Linchao Bao , Qingxiong Yang

This paper proposes a deep neural network structure that exploits edge information in addressing representative low-level vision tasks such as layer separation and image filtering. Unlike most other deep learning strategies applied in this…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Qingnan Fan , Jiaolong Yang , Gang Hua , Baoquan Chen , David Wipf

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

In this work, we propose a new approach for efficient edge-preserving image deconvolution. Our algorithm is based on a novel type of explicit image filter - guided filter. The guided filter can be used as an edge-preserving smoothing…

Computer Vision and Pattern Recognition · Computer Science 2016-09-08 Hang Yang , Ming Zhu , Zhongbo Zhang , Heyan Huang

This paper focuses on devising graph signal processing tools for the treatment of data defined on the edges of a graph. We first show that conventional tools from graph signal processing may not be suitable for the analysis of such signals.…

Discrete Mathematics · Computer Science 2019-04-05 Michael T. Schaub , Santiago Segarra

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

Since edge detection is in the forefront of image processing for object detection, it is crucial to have a good understanding of edge detection algorithms. The reason for this is that edges form the outline of an object. An edge is the…

Computer Vision and Pattern Recognition · Computer Science 2013-11-22 Shubham Saini , Bhavesh Kasliwal , Shraey Bhatia

The efficient realization of linear space-variant (non-convolution) filters is a challenging computational problem in image processing. In this paper, we demonstrate that it is possible to filter an image with a Gaussian-like elliptic…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Kunal Narayan Chaudhury , Arrate Munoz-Barrutia , Michael Unser

Raster images can have a range of various distortions connected to their raster structure. Upsampling them might in effect substantially yield the raster structure of the original image, known as aliasing. The upsampling itself may…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Artur Rataj

We propose a novel method of efficient upsampling of a single natural image. Current methods for image upsampling tend to produce high-resolution images with either blurry salient edges, or loss of fine textural detail, or spurious noise…

Computer Vision and Pattern Recognition · Computer Science 2015-03-03 Chinmay Hegde , Oncel Tuzel , Fatih Porikli

We introduce a novel offset meshing approach that can robustly handle a 3D surface mesh with an arbitrary geometry and topology configurations, while nicely capturing the sharp features on the original input for both inward and outward…

Graphics · Computer Science 2024-12-23 Hongyi Cao , Gang Xu , Renshu Gu , Jinlan Xu , Xiaoyu Zhang , Timon Rabczuk , Yuzhe Luo , Xifeng Gao

Deconvolution with a box (square wave) is a key operation for super-resolution with pixel-shift cameras. In general convolution with a box is not invertible. However, we can obtain perfect reconstructions of sparse signals using convex…

Numerical Analysis · Mathematics 2024-07-17 Pedro Felzenszwalb

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…

Computer Vision and Pattern Recognition · Computer Science 2021-08-05 Wei Liu , Pingping Zhang , Yinjie Lei , Xiaolin Huang , Jie Yang , Michael Ng

A quantum edge detector for image segmentation in optical environments is presented in this work. A Boolean version of the same detector is presented too. The quantum version of the new edge detector works with computational basis states,…

Computer Vision and Pattern Recognition · Computer Science 2014-09-11 Mario Mastriani

The application of quantum computing to the field of image processing has produced several promising applications: quantum image representation techniques have been developed showing how, by taking advantage of quantum properties like…

Quantum Physics · Physics 2020-12-22 Giacomo Cavalieri , Dario Maio

Sustaining high fidelity and high throughput of perception tasks over vision sensor streams on edge devices remains a formidable challenge, especially given the continuing increase in image sizes (e.g., generated by 4K cameras) and…

Multimedia · Computer Science 2023-05-08 Ila Gokarn , Hemanth Sabella , Yigong Hu , Tarek Abdelzaher , Archan Misra

We demonstrate that it is possible to filter an image with an elliptic window of varying size, elongation and orientation with a fixed computational cost per pixel. Our method involves the application of a suitable global pre-integrator…

Information Theory · Computer Science 2016-11-15 Kunal Narayan Chaudhury , Arrate Munoz Barrutia , Michael Unser