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We present an approximation algorithm for computing the diameter of a point-set in $\Re^d$. The new algorithm is sensitive to the ``hardness'' of computing the diameter of the given input, and for most inputs it is able to compute the exact…

Computational Geometry · Computer Science 2025-05-19 Sariel Har-Peled

Quantum optics experiments, involving the measurement of low-probability photon events, are known to be extremely time-consuming. We present a new methodology for accelerating such experiments using physically-motivated ansatzes together…

Quantum Physics · Physics 2020-06-11 Cristian L. Cortes , Sushovit Adhikari , Xuedan Ma , Stephen K. Gray

Medical image segmentation requires large annotated datasets, creating a significant bottleneck for clinical applications. While few-shot segmentation methods can learn from minimal examples, existing approaches demonstrate suboptimal…

Computer Vision and Pattern Recognition · Computer Science 2025-12-25 Ziyuan Gao

Given a point set $P$ in the plane, we seek a subset $Q\subseteq P$, whose convex hull gives a smaller and thus simpler representation of the convex hull of $P$. Specifically, let $cost(Q,P)$ denote the Hausdorff distance between the convex…

Computational Geometry · Computer Science 2021-10-05 Georgiy Klimenko , Benjamin Raichel

The Euler-Poincar\'e (EP) equations describe the geodesic motion on the diffeomorphism group. For template matching (template deformation), the Euler-Lagrangian equation, arising from minimizing an energy function, falls into the…

Numerical Analysis · Mathematics 2015-10-15 Roberto Camassa , Dongyang Kuang , Long Lee

In this paper, we propose a density estimation algorithm called \textit{Gradient Boosting Histogram Transform} (GBHT), where we adopt the \textit{Negative Log Likelihood} as the loss function to make the boosting procedure available for the…

Machine Learning · Statistics 2021-06-11 Jingyi Cui , Hanyuan Hang , Yisen Wang , Zhouchen Lin

In this paper, we consider enumeration of geodesics on a polyhedron, where a geodesic means locally-shortest path between two points. Particularly, we consider the following preprocessing problem: given a point $s$ on a polyhedral surface…

Computational Geometry · Computer Science 2023-12-27 Kazuma Tateiri

Dense panoptic prediction is a key ingredient in many existing applications such as autonomous driving, automated warehouses or remote sensing. Many of these applications require fast inference over large input resolutions on affordable or…

Computer Vision and Pattern Recognition · Computer Science 2023-04-19 Josip Šarić , Marin Oršić , Siniša Šegvić

With an aim to increase the capture range and accelerate the performance of state-of-the-art inter-subject and subject-to-template 3D registration, we propose deep learning-based methods that are trained to find the 3D position of…

Computer Vision and Pattern Recognition · Computer Science 2018-08-21 Seyed Sadegh Mohseni Salehi , Shadab Khan , Deniz Erdogmus , Ali Gholipour

The N-body problem is a classic problem involving a system of N discrete bodies mutually interacting in a dynamical system. At any moment in time there are N*(N - 1)/2 such interactions occurring. This scaling as N^2 leads to computational…

Computational Engineering, Finance, and Science · Computer Science 2022-03-18 Alexander Brandt

Geophysical inversion should ideally produce geologically realistic subsurface models that explain the available data. Multiple-point statistics is a geostatistical approach to construct subsurface models that are consistent with…

Geophysics · Physics 2017-01-09 T. Zahner , T. Lochbühler , G. Mariethoz , N. Linde

Learning and generalizing from limited examples, i,e, few-shot learning, is of core importance to many real-world vision applications. A principal way of achieving few-shot learning is to realize an embedding where samples from different…

Computer Vision and Pattern Recognition · Computer Science 2021-12-06 Rongkai Ma , Pengfei Fang , Tom Drummond , Mehrtash Harandi

This paper addresses the problem of estimating the 3-DoF camera pose for a ground-level image with respect to a satellite image that encompasses the local surroundings. We propose a novel end-to-end approach that leverages the learning of…

Computer Vision and Pattern Recognition · Computer Science 2023-12-29 Zhenbo Song , Xianghui Ze , Jianfeng Lu , Yujiao Shi

We consider the problem of active learning in the context of spatial sampling for level set estimation (LSE), where the goal is to localize all regions where a function of interest lies above/below a given threshold as quickly as possible.…

Machine Learning · Computer Science 2025-07-24 Phillip Kearns , Bruno Jedynak , John Lipor

This work addresses the task of overhead image segmentation when auxiliary ground-level images are available. Recent work has shown that performing joint inference over these two modalities, often called near/remote sensing, can yield…

Computer Vision and Pattern Recognition · Computer Science 2022-04-06 Scott Workman , M. Usman Rafique , Hunter Blanton , Nathan Jacobs

In this paper, we propose SpotNet: a fast, single stage, image-centric but LiDAR anchored approach for long range 3D object detection. We demonstrate that our approach to LiDAR/image sensor fusion, combined with the joint learning of 2D and…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Louis Foucard , Samar Khanna , Yi Shi , Chi-Kuei Liu , Quinn Z Shen , Thuyen Ngo , Zi-Xiang Xia

We propose an algorithm for real-time 6DOF pose tracking of rigid 3D objects using a monocular RGB camera. The key idea is to derive a region-based cost function using temporally consistent local color histograms. While such region-based…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Henning Tjaden , Ulrich Schwanecke , Elmar Schömer , Daniel Cremers

We unveil an alluring alternative to parametric search that applies to both the non-geodesic and geodesic Fr\'echet optimization problems. This randomized approach is based on a variant of red-blue intersections and is appealing due to its…

Data Structures and Algorithms · Computer Science 2008-05-21 Atlas F. Cook , Carola Wenk

Shot charts in basketball analytics provide an indispensable tool for evaluating players' shooting performance by visually representing the distribution of field goal attempts across different court locations. However, conventional methods…

Methodology · Statistics 2025-05-16 Luca Scrucca , Dimitris Karlis

We develop a new edge detection algorithm that tackles two important issues in this long-standing vision problem: (1) holistic image training and prediction; and (2) multi-scale and multi-level feature learning. Our proposed method,…

Computer Vision and Pattern Recognition · Computer Science 2015-10-06 Saining Xie , Zhuowen Tu