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Automatically determining knot number and positions is a fundamental and challenging problem in B-spline approximation. In this paper, the knot placement is abstracted as a mapping from initial knots to the optimal knots. We innovatively…

Optimization and Control · Mathematics 2024-03-19 Jiaqi Luo , Zepeng Wen , Hongmei Kang , Zhouwang Yang

We define strict confluent drawing, a form of confluent drawing in which the existence of an edge is indicated by the presence of a smooth path through a system of arcs and junctions (without crossings), and in which such a path, if it…

Computational Geometry · Computer Science 2016-08-12 David Eppstein , Danny Holten , Maarten Löffler , Martin Nöllenburg , Bettina Speckmann , Kevin Verbeek

The main objective of this work is to describe a general and original approach for computing an off-line solution for a set of parameters describing the geometry of the domain. That is, a solution able to include information for different…

Numerical Analysis · Mathematics 2019-09-26 Ruben Sevilla , Sergio Zlotnik , Antonio Huerta

This paper presents a learning based planner for computing optimized 3D printing toolpaths on prescribed graphs, the challenges of which include the varying graph structures on different models and the large scale of nodes & edges on a…

3D scanning as a technique to digitize objects in reality and create their 3D models, is used in many fields and areas. Though the quality of 3D scans depends on the technical characteristics of the 3D scanner, the common drawback is the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-14 Kseniya Cherenkova , Elona Dupont , Anis Kacem , Ilya Arzhannikov , Gleb Gusev , Djamila Aouada

For a wide variety of regularization methods, algorithms computing the entire solution path have been developed recently. Solution path algorithms do not only compute the solution for one particular value of the regularization parameter but…

Machine Learning · Computer Science 2009-03-30 Bernd Gärtner , Joachim Giesen , Martin Jaggi , Torsten Welsch

Most neural network pruning methods, such as filter-level and layer-level prunings, prune the network model along one dimension (depth, width, or resolution) solely to meet a computational budget. However, such a pruning policy often leads…

Computer Vision and Pattern Recognition · Computer Science 2021-06-16 Wenxiao Wang , Minghao Chen , Shuai Zhao , Long Chen , Jinming Hu , Haifeng Liu , Deng Cai , Xiaofei He , Wei Liu

The aim of this paper is to present a new method of approximation of planar data set using only arcs or segments. The first problem we are trying to solve is the following: the CNC machines can work only with simple curves (arcs or…

Numerical Analysis · Mathematics 2013-11-25 Maurizio Scarparo

Finding paths in graphs is a fundamental graph-theoretic task. In this work, we we are concerned with finding a path with some constraints on its length and the number of vertices neighboring the path, that is, being outside of and incident…

Computational Complexity · Computer Science 2019-05-28 Max-Jonathan Luckow , Till Fluschnik

There are many practical applications that require simplification of polylines. Some of the goals are to reduce the amount of information necessary to store, improve processing time, or simplify editing. The simplification is usually done…

Computational Geometry · Computer Science 2018-12-12 Alexander Gribov

In 3D printing, stiff fibers (e.g., carbon fiber) can reinforce thermoplastic polymers with limited stiffness. However, existing commercial digital manufacturing software only provides a few simple fiber layout algorithms, which solely use…

Computational Engineering, Finance, and Science · Computer Science 2023-10-31 Xingyuan Sun , Geoffrey Roeder , Tianju Xue , Ryan P. Adams , Szymon Rusinkiewicz

Line planning, i.e. choosing paths which are operated by one vehicle end-to-end, is an important aspect of public transport planning. While there exists heuristic procedures for generating lines from scratch, most theoretical observations…

Combinatorics · Mathematics 2022-05-20 Irene Heinrich , Philine Schiewe , Constantin Seebach

Resource constrained shortest path problems are usually solved thanks to a smart enumeration of all the non-dominated paths. Recent improvements of these enumeration algorithms rely on the use of bounds on path resources to discard partial…

Data Structures and Algorithms · Computer Science 2017-02-16 Axel Parmentier

The task of approximating points with circular arcs is performed in many applications, such as polyline compression, noise filtering, and feature recognition. However, the development of algorithms that perform a significant amount of…

Computational Geometry · Computer Science 2018-10-12 Alexander Gribov

Trajectories can be regarded as time-series of coordinates, typically arising from motile objects. Methods for trajectory classification are particularly important to detect different movement patterns, while methods for regression to…

Computer Vision and Pattern Recognition · Computer Science 2024-09-30 Mariaclaudia Nicolai , Raffaella Fiamma Cabini , Diego Ulisse Pizzagalli

A crucial challenge arising in the design of large-scale logistical networks is to optimize parcel sortation for routing. We study this problem under the recent graph-theoretic formalization of Van Dyk, Klause, Koenemann and Megow (IPCO…

Data Structures and Algorithms · Computer Science 2024-09-16 Robert Ganian , Hung P. Hoang , Simon Wietheger

Problems that require the parameterization of closed contours arise frequently in computer vision applications. This article introduces a new curve parameterization algorithm that is able to fit a closed curve to a set of points while being…

Computer Vision and Pattern Recognition · Computer Science 2015-04-23 Michael A. Greminger

We introduce a novel neural network-based computational pipeline as a representation-agnostic slicer for multi-axis 3D printing. This advanced slicer can work on models with diverse representations and intricate topology. The approach…

Computational Geometry · Computer Science 2024-05-28 Tao Liu , Tianyu Zhang , Yongxue Chen , Yuming Huang , Charlie C. L. Wang

Popular industrial robotic problems such as spray painting and welding require (i) conditioning on free-shape 3D objects and (ii) planning of multiple trajectories to solve the task. Yet, existing solutions make strong assumptions on the…

Robotics · Computer Science 2023-12-07 Gabriele Tiboni , Raffaello Camoriano , Tatiana Tommasi

In a right-angle crossing (RAC) drawing of a graph, each edge is represented as a polyline and edge crossings must occur at an angle of exactly $90^\circ$, where the number of bends on such polylines is typically restricted in some way.…

Computational Geometry · Computer Science 2023-08-24 Cornelius Brand , Robert Ganian , Sebastian Röder , Florian Schager