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Classically, a mainstream approach for solving a convex-concave min-max problem is to instead solve the variational inequality problem arising from its first-order optimality conditions. Is it possible to solve min-max problems faster by…

Optimization and Control · Mathematics 2025-11-06 Henry Shugart , Jason M. Altschuler

The repeatability and efficiency of a corner detector determines how likely it is to be useful in a real-world application. The repeatability is importand because the same scene viewed from different positions should yield features which…

Computer Vision and Pattern Recognition · Computer Science 2010-07-09 Edward Rosten , Reid Porter , Tom Drummond

Recent advances in the area of plane segmentation from single RGB images show strong accuracy improvements and now allow a reliable segmentation of indoor scenes into planes. Nonetheless, fine-grained details of these segmentation masks are…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Alexander Naumann , Laura Dörr , Niels Ole Salscheider , Kai Furmans

We present efficient algorithms for detecting central and mirror symmetry for the case of algebraic curves defined by means of polynomial parametrizations. The algorithms are based on the existence of a linear relationship between two…

Algebraic Geometry · Mathematics 2012-12-27 Juan G. Alcazar

This study introduces a method for efficiently detecting objects within 3D point clouds using convolutional neural networks (CNNs). Our approach adopts a unique feature-centric voting mechanism to construct convolutional layers that…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Tianyi Lyu , Dian Gu , Peiyuan Chen , Yaoting Jiang , Zhenhong Zhang , Huadong Pang , Li Zhou , Yiping Dong

Purpose. Ability to locate and track ultrasound images in the 3D operating space is of great benefit for multiple clinical applications. This is often accomplished by tracking the probe using a precise but expensive optical or…

Image and Video Processing · Electrical Eng. & Systems 2022-05-11 Yitian Zhou , Gaétan Lelu , Boris Labbé , Guillaume Pasquier , Pierre Le Gargasson , Albert Murienne , Laurent Launay

Collision detection between two convex shapes is an essential feature of any physics engine or robot motion planner. It has often been tackled as a computational geometry problem, with the Gilbert, Johnson and Keerthi (GJK) algorithm being…

Robotics · Computer Science 2022-05-23 Louis Montaut , Quentin Le Lidec , Vladimir Petrik , Josef Sivic , Justin Carpentier

We develop a sketching algorithm to find the point on the convex hull of a dataset, closest to a query point outside it. Studying the convex hull of datasets can provide useful information about their geometric structure and their…

Differential Geometry · Mathematics 2022-03-30 Roozbeh Yousefzadeh

We study the min-max optimization problem where each function contributing to the max operation is strongly-convex and smooth with bounded gradient in the search domain. By smoothing the max operator, we show the ability to achieve an…

Optimization and Control · Mathematics 2019-05-31 Hakan Gokcesu , Kaan Gokcesu , Suleyman Serdar Kozat

This draft summarizes some basics about geometric computer vision needed to implement efficient computer vision algorithms for applications that use measurements from at least one digital camera mounted on a moving platform with a special…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Volker Willert , Martin Buczko

Jointly integrating aspect ratio and context has been extensively studied and shown performance improvement in traditional object detection systems such as the DPMs. It, however, has been largely ignored in deep neural network based…

Computer Vision and Pattern Recognition · Computer Science 2017-03-23 Bo Li , Tianfu Wu , Shuai Shao , Lun Zhang , Rufeng Chu

Low-rank modeling has a lot of important applications in machine learning, computer vision and social network analysis. While the matrix rank is often approximated by the convex nuclear norm, the use of nonconvex low-rank regularizers has…

Numerical Analysis · Computer Science 2016-05-02 Quanming Yao , James T. Kwok , Wenliang Zhong

We present MatrixNets (xNets), a new deep architecture for object detection. xNets map objects with similar sizes and aspect ratios into many specialized layers, allowing xNets to provide a scale and aspect ratio aware architecture. We…

Computer Vision and Pattern Recognition · Computer Science 2020-01-13 Abdullah Rashwan , Rishav Agarwal , Agastya Kalra , Pascal Poupart

Image segmentation is a fundamental and challenging problem in computer vision with applications spanning multiple areas, such as medical imaging, remote sensing, and autonomous vehicles. Recently, convolutional neural networks (CNNs) have…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Ali Hatamizadeh

Convexity prior is one of the main cue for human vision and shape completion with important applications in image processing, computer vision. This paper focuses on characterization methods for convex objects and applications in image…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Shousheng Luo , Jinfeng Chen , Yunhai Xiao , Xue-Cheng Tai

There are many space subdivision and space partitioning techniques used in many algorithms to speed up computations. They mostly rely on orthogonal space subdivision, resp. using hierarchical data structures, e.g. BSP trees, quadtrees,…

Graphics · Computer Science 2022-08-09 Vaclav Skala

The inverse source problem arising in photoacoustic tomography and in several other coupled-physics modalities is frequently solved by iterative algorithms. Such algorithms are based on the minimization of a certain cost functional. In…

Image and Video Processing · Electrical Eng. & Systems 2025-10-29 Andreas Hauptmann , Leonid Kunyansky , Jenni Poimala

State-of-the-art object detection systems rely on an accurate set of region proposals. Several recent methods use a neural network architecture to hypothesize promising object locations. While these approaches are computationally efficient,…

Computer Vision and Pattern Recognition · Computer Science 2016-04-12 Yongxi Lu , Tara Javidi , Svetlana Lazebnik

In multi-objective optimization, computing the entire non-dominated set (also known as the Pareto front or the Pareto frontier) is often intractable. However, for any multiplicative factor greater than one, an approximation set can be…

Optimization and Control · Mathematics 2026-04-30 Levin Nemesch , Stefan Ruzika , Clemens Thielen , Alina Wittmann

We present a fast learning-based algorithm for deformable, pairwise 3D medical image registration. Current registration methods optimize an objective function independently for each pair of images, which can be time-consuming for large…

Computer Vision and Pattern Recognition · Computer Science 2019-03-14 Guha Balakrishnan , Amy Zhao , Mert R. Sabuncu , John Guttag , Adrian V. Dalca