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We consider the problem of discretizing one-dimensional, real-valued functions as graphs. The goal is to find a small set of points, from which we can approximate the remaining function values. The method for approximating the unknown…

Numerical Analysis · Mathematics 2023-06-01 John Paul Ward

We develop a natural variant of Dikin's affine-scaling method, first for semidefinite programming and then for hyperbolic programming in general. We match the best complexity bounds known for interior-point methods. All previous…

Optimization and Control · Mathematics 2014-10-27 James Renegar , Mutiara Sondjaja

The advancements in neural rendering have increased the need for techniques that enable intuitive editing of 3D objects represented as neural implicit surfaces. This paper introduces a novel neural algorithm for parameterizing neural…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Baixin Xu , Jiangbei Hu , Fei Hou , Kwan-Yee Lin , Wayne Wu , Chen Qian , Ying He

Handling various objects with different colors is a significant challenge for image colorization techniques. Thus, for complex real-world scenes, the existing image colorization algorithms often fail to maintain color consistency. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-04-26 Subhankar Ghosh , Saumik Bhattacharya , Prasun Roy , Umapada Pal , Michael Blumenstein

Implementing linear transformations is a key task in the decentralized signal processing framework, which performs learning tasks on data sets distributed over multi-node networks. That kind of network can be represented by a graph.…

Signal Processing · Electrical Eng. & Systems 2020-11-24 Siavash Mollaebrahim , Baltasar Beferull-Lozano

The homography matrix is a key component in various vision-based robotic tasks. Traditionally, homography estimation algorithms are classified into feature- or intensity-based. The main advantages of the latter are their versatility,…

Computer Vision and Pattern Recognition · Computer Science 2022-03-09 Lucas Nogueira , Ely C. de Paiva , Geraldo Silvera

High-quality dehazing performance is highly dependent upon the accurate estimation of transmission map. In this work, the coarse estimation version is first obtained by weightedly fusing two different transmission maps, which are generated…

Computer Vision and Pattern Recognition · Computer Science 2019-02-20 Qiaoling Shu , Chuansheng Wu , Zhe Xiao , Ryan Wen Liu

Video frame interpolation is an important low-level vision task, which can increase frame rate for more fluent visual experience. Existing methods have achieved great success by employing advanced motion models and synthesis networks.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-22 Lingtong Kong , Boyuan Jiang , Donghao Luo , Wenqing Chu , Ying Tai , Chengjie Wang , Jie Yang

A regular convolution layer applying a filter in the same way over known and unknown areas causes visual artifacts in the inpainted image. Several studies address this issue with feature re-normalization on the output of the convolution.…

Computer Vision and Pattern Recognition · Computer Science 2020-11-03 Håkon Hukkelås , Frank Lindseth , Rudolf Mester

Immersed boundary methods are high-order accurate computational tools used to model geometrically complex problems in computational mechanics. While traditional finite element methods require the construction of high-quality boundary-fitted…

Numerical Analysis · Mathematics 2024-02-27 Jennifer E. Fromm , Nils Wunsch , Kurt Maute , John A. Evans , Jiun-Shyan Chen

The growing use of portrait images in computer vision highlights the need to protect personal identities. At the same time, anonymized images must remain useful for downstream computer vision tasks. In this work, we propose a unified…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Ali Salar , Qing Liu , Guoying Zhao

We present in this paper a way to transform a constrained statistical inference problem into an unconstrained one in order to be able to use modern computational methods, such as those based on automatic differentiation, GPU computing,…

Computation · Statistics 2023-01-23 Jean-Benoist Leger

Standard video frame interpolation methods first estimate optical flow between input frames and then synthesize an intermediate frame guided by motion. Recent approaches merge these two steps into a single convolution process by convolving…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Simon Niklaus , Long Mai , Feng Liu

This article formalizes an abstraction of input/output relations, based on parameterized zonotopes, which we call affine sets. We describe the abstract transfer functions and prove their correctness, which allows the generation of accurate…

Logic in Computer Science · Computer Science 2009-10-12 Eric Goubault , Sylvie Putot

Image fusion is famous as an alternative solution to generate one high-quality image from multiple images in addition to image restoration from a single degraded image. The essence of image fusion is to integrate complementary information…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Pengwei Liang , Junjun Jiang , Qing Ma , Xianming Liu , Jiayi Ma

To address the problem of 3D point matching where the poses of two point sets are unknown, we adapt a recently proposed path following based method to use similarity transformation instead of the original affine transformation. The reduced…

Computer Vision and Pattern Recognition · Computer Science 2017-01-05 Wei Lian

We cast shape matching as metric learning with convolutional networks. We break the end-to-end process of image representation into two parts. Firstly, well established efficient methods are chosen to turn the images into edge maps.…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Filip Radenović , Giorgos Tolias , Ondřej Chum

Compression methods based on inpainting are an evolving alternative to classical transform-based codecs for still images. Attempts to apply these ideas to video compression are rare, since reaching real-time performance is very challenging.…

Image and Video Processing · Electrical Eng. & Systems 2021-05-05 Sarah Andris , Pascal Peter , Rahul Mohideen Kaja Mohideen , Joachim Weickert , Sebastian Hoffmann

Graph coarsening is a widely used dimensionality reduction technique for approaching large-scale graph machine learning problems. Given a large graph, graph coarsening aims to learn a smaller-tractable graph while preserving the properties…

Machine Learning · Statistics 2022-10-04 Manoj Kumar , Anurag Sharma , Sandeep Kumar

Image optimization problems encompass many applications such as spectral fusion, deblurring, deconvolution, dehazing, matting, reflection removal and image interpolation, among others. With current image sizes in the order of megabytes, it…

Computer Vision and Pattern Recognition · Computer Science 2018-09-13 Majed El Helou , Frederike Dümbgen , Radhakrishna Achanta , Sabine Süsstrunk