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We introduce a method for efficiently computing the exact shortest path to the boundary of a mesh from a given internal point in the presence of self-intersections. We provide a formal definition of shortest boundary paths for…

Graphics · Computer Science 2023-05-18 He Chen , Elie Diaz , Cem Yuksel

We present a method for the efficient processing of contact and collision in volumetric elastic models simulated using the Projective Dynamics paradigm. Our approach enables interactive simulation of tetrahedral meshes with more than half a…

Graphics · Computer Science 2020-08-05 Qisi Wang , Yutian Tao , Eric Brandt , Court Cutting , Eftychios Sifakis

In modern production facilities industrial robots and humans are supposed to interact sharing a common working area. In order to avoid collisions, the distances between objects need to be measured conservatively which can be done by a…

Computer Vision and Pattern Recognition · Computer Science 2011-05-18 Maria Hänel , Stefan Kuhn , Dominik Henrich , Lars Grüne , Jürgen Pannek

Collision detection and recovery for aerial robots remain a challenge because of the limited space for sensors and local stability of the flight controller. We introduce a novel collision-resilient quadrotor that features a compliant arm…

Robotics · Computer Science 2021-06-02 Zhichao Liu , Konstantinos Karydis

In this paper, we propose a pixel-wise method named TextCohesion for scene text detection, which splits a text instance into five key components: a Text Skeleton and four Directional Pixel Regions. These components are easier to handle than…

Computer Vision and Pattern Recognition · Computer Science 2019-05-01 Weijia Wu , Jici Xing , Hong Zhou

For many applications, we need to use techniques to represent convex shapes and objects. In this work, we use level set method to represent shapes and find a necessary and sufficient condition on the level set function to guarantee the…

Numerical Analysis · Mathematics 2018-11-13 Shousheng Luo , Xue-cheng Tai

This article is concerned with the problem of approximating a not necessarily bounded spectrahedral shadow, a certain convex set, by polyhedra. By identifying the set with its homogenization the problem is reduced to the approximation of a…

Optimization and Control · Mathematics 2024-01-26 Daniel Dörfler , Andreas Löhne

Distance metric learning aims to learn from the given training data a valid distance metric, with which the similarity between data samples can be more effectively evaluated for classification. Metric learning is often formulated as a…

Machine Learning · Computer Science 2015-02-03 Wangmeng Zuo , Faqiang Wang , David Zhang , Liang Lin , Yuchi Huang , Deyu Meng , Lei Zhang

The Polyak stepsize has been widely used in subgradient methods for non-smooth convex optimization. However, calculating the stepsize requires the optimal value, which is generally unknown. Therefore, dynamic estimations of the optimal…

Optimization and Control · Mathematics 2025-06-09 Anbang Liu , Mikhail A. Bragin , Xi Chen , Xiaohong Guan

The problem of minimizing the difference of two convex functions is called polyhedral d.c. optimization problem if at least one of the two component functions is polyhedral. We characterize the existence of global optimal solutions of…

Optimization and Control · Mathematics 2020-01-10 Simeon vom Dahl , Andreas Löhne

Applications from manipulation to autonomous vehicles rely on robust and general object tracking to safely perform tasks in dynamic environments. We propose the first certifiably optimal category-level approach for simultaneous shape…

Robotics · Computer Science 2024-12-09 Lorenzo Shaikewitz , Samuel Ubellacker , Luca Carlone

Regular object detection methods output rectangle bounding boxes, which are unable to accurately describe the actual object shapes. Instance segmentation methods output pixel-level labels, which are computationally expensive for real-time…

Computer Vision and Pattern Recognition · Computer Science 2023-04-06 Yang Zheng , Oles Andrienko , Yonglei Zhao , Minwoo Park , Trung Pham

We consider the problem of approximating the solution of variational problems subject to the constraint that the admissible functions must be convex. This problem is at the interface between convex analysis, convex optimization, variational…

Numerical Analysis · Mathematics 2015-03-19 Adam M. Oberman

Real-time detection of objects in the 3D scene is one of the tasks an autonomous agent needs to perform for understanding its surroundings. While recent Deep Learning-based solutions achieve satisfactory performance, their high…

Computer Vision and Pattern Recognition · Computer Science 2021-05-24 Illia Oleksiienko , Alexandros Iosifidis

In this paper we describe a methodology for the identification of symmetric quadrature rules inside of quadrilaterals, triangles, tetrahedra, prisms, pyramids, and hexahedra. The methodology is free from manual intervention and is capable…

Numerical Analysis · Mathematics 2014-09-08 F. D. Witherden , P. E. Vincent

The challenge of object categorization in images is largely due to arbitrary translations and scales of the foreground objects. To attack this difficulty, we propose a new approach called collaborative receptive field learning to extract…

Computer Vision and Pattern Recognition · Computer Science 2014-02-04 Shu Kong , Zhuolin Jiang , Qiang Yang

Effective fusion of complementary information captured by multi-modal sensors (visible and infrared cameras) enables robust pedestrian detection under various surveillance situations (e.g. daytime and nighttime). In this paper, we present a…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Yanpeng Cao , Dayan Guan , Yulun Wu , Jiangxin Yang , Yanlong Cao , Michael Ying Yang

We consider geometric collision-detection problems for modular reconfigurable robots. Assuming the nodes (modules) are connected squares on a grid, we investigate the complexity of deciding whether collisions may occur, or can be avoided,…

Computational Geometry · Computer Science 2023-05-03 Siddharth Gupta , Marc van Kreveld , Othon Michail , Andreas Padalkin

During the last years, the emerging field of Augmented & Virtual Reality (AR-VR) has seen tremendousgrowth. At the same time there is a trend to develop low cost high-quality AR systems where computing poweris in demand. Feature points are…

Computer Vision and Pattern Recognition · Computer Science 2022-05-17 Dimitrios Chamzas , Constantinos Chamzas , Konstantinos Moustakas

Object shape and pose estimation is a foundational robotics problem, supporting tasks from manipulation to scene understanding and navigation. We present a fast local solver for shape and pose estimation which requires only category-level…

Robotics · Computer Science 2026-03-05 Lorenzo Shaikewitz , Tim Nguyen , Luca Carlone