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We consider several problems that involve lines in three dimensions, and present improved algorithms for solving them. The problems include (i) ray shooting amid triangles in $R^3$, (ii) reporting intersections between query lines…

Computational Geometry · Computer Science 2021-02-16 Esther Ezra , Micha Sharir

Sequential decision-making problems with multiple objectives arise naturally in practice and pose unique challenges for research in decision-theoretic planning and learning, which has largely focused on single-objective settings. This…

Artificial Intelligence · Computer Science 2014-02-05 Diederik Marijn Roijers , Peter Vamplew , Shimon Whiteson , Richard Dazeley

Recent camera-based 3D object detection methods have introduced sequential frames to improve the detection performance hoping that multiple frames would mitigate the large depth estimation error. Despite improved detection performance,…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Sanmin Kim , Youngseok Kim , In-Jae Lee , Dongsuk Kum

We present a deep generative scene modeling technique for indoor environments. Our goal is to train a generative model using a feed-forward neural network that maps a prior distribution (e.g., a normal distribution) to the distribution of…

Computer Vision and Pattern Recognition · Computer Science 2018-08-08 Zaiwei Zhang , Zhenpei Yang , Chongyang Ma , Linjie Luo , Alexander Huth , Etienne Vouga , Qixing Huang

We present an approach to solving problems in micromechanics that is amenable to massively parallel calculations through the use of graphical processing units and other accelerators. The problems lead to nonlinear differential equations…

Computational Engineering, Finance, and Science · Computer Science 2021-05-19 Hao Zhou , Kaushik Bhattacharya

Designing the topology of three-dimensional structures is a challenging problem due to its memory and time consumption. In this paper, we present a robust and efficient algorithm for solving large-scale 3D topology optimization problems.…

Optimization and Control · Mathematics 2024-03-01 Alfredo Vitorino , Francisco A. M. Gomes

This paper presents a new progressive compression method for triangular meshes. This method, in fact, is based on a schema of irregular multi-resolution analysis and is centered on the optimization of the rate-distortion trade-off. The…

Graphics · Computer Science 2013-09-16 Zeineb Abderrahim , Elhem Techini , Mohamed Salim Bouhlel

Many difficult computational problems involve the simultaneous satisfaction of multiple constraints which are individually easy to satisfy. Such problems occur in diffractive imaging, protein folding, constrained optimization (e.g., spin…

Computational Physics · Physics 2008-10-01 Simon Gravel , Veit Elser

We present exact mixed-integer linear programming formulations for verifying the performance of first-order methods for parametric quadratic optimization. We formulate the verification problem as a mixed-integer linear program where the…

Optimization and Control · Mathematics 2026-05-29 Vinit Ranjan , Jisun Park , Stefano Gualandi , Andrea Lodi , Bartolomeo Stellato

We study the problem of moving a vertex in an unstructured mesh of triangular, quadrilateral, or tetrahedral elements to optimize the shapes of adjacent elements. We show that many such problems can be solved in linear time using…

Computational Geometry · Computer Science 2010-01-21 Nina Amenta , Marshall Bern , David Eppstein

In this paper, we propose a new parallel ordering method to vectorize and parallelize the sparse triangular solver, which is called hierarchical block multi-color ordering. In this method, the parallel forward and backward substitutions can…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-05 Takeshi Iwashita , Senxi Li , Takeshi Fukaya

In this paper we apply a two-stage sequential design to item calibration problems under a three-parameter logistic model assumption. The measurement errors of the estimates of the latent trait levels of examinees are considered in our…

Applications · Statistics 2013-05-23 Yuan-chin Ivan Chang

This work introduces a sequential convex programming framework for non-linear, finite-dimensional stochastic optimal control, where uncertainties are modeled by a multidimensional Wiener process. We prove that any accumulation point of the…

Optimization and Control · Mathematics 2022-09-27 Riccardo Bonalli , Thomas Lew , Marco Pavone

We propose a variational regularization approach based on a multiscale representation called cylindrical shearlets aimed at dynamic imaging problems, especially dynamic tomography. The intuitive idea of our approach is to integrate a…

Numerical Analysis · Mathematics 2025-08-05 Tatiana A. Bubba , Tommi Heikkilä , Demetrio Labate , Luca Ratti

Most additive manufacturing processes today operate by printing voxels (3D pixels) serially point-by-point to build up a 3D part. In some more recently-developed techniques, for example optical printing methods such as projection…

We devise a 3D scene graph representation, contact graph+ (cg+), for efficient sequential task planning. Augmented with predicate-like attributes, this contact graph-based representation abstracts scene layouts with succinct geometric…

Robotics · Computer Science 2022-07-19 Ziyuan Jiao , Yida Niu , Zeyu Zhang , Song-Chun Zhu , Yixin Zhu , Hangxin Liu

The ability to accurately produce geometries with specified properties is perhaps the most important characteristic of a manufacturing process. 3D printing is marked by exceptional design freedom and complexity but is also prone to…

Graphics · Computer Science 2025-02-04 Christos Margadji , Andi Kuswoyo , Sebastian W. Pattinson

The Two-dimensional Bin Packing Problem calls for packing a set of rectangular items into a minimal set of larger rectangular bins. Items must be packed with their edges parallel to the borders of the bins, cannot be rotated and cannot…

Optimization and Control · Mathematics 2019-09-17 Jean-François Côté , Mohamed Haouari , Manuel Iori

Additive manufacturing has become one of the forefront technologies in fabrication, enabling new products impossible to manufacture before. Although many materials exist for additive manufacturing, they typically suffer from performance…

The paper describes an open source computer vision-based hardware structure and software algorithm, which analyzes layer-wise the 3-D printing processes, tracks printing errors, and generates appropriate printer actions to improve…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Aliaksei L. Petsiuk , Joshua M. Pearce
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