Applications of convex geometry to Minkowski sums of m ellipsoids in ℝN: Closed-form parametric equations and volume bounds
Author:
Affiliation:
1. Department of Mechanical Engineering, National University of Singapore, Singapore
2. Department of Mechanical Engineering, Johns Hopkins University, USA
3. Department of Mathematics, Johns Hopkins University, USA
Abstract
Publisher
World Scientific Pub Co Pte Ltd
Subject
General Mathematics
Link
https://www.worldscientific.com/doi/pdf/10.1142/S0129167X21400097
Reference26 articles.
1. Volume Ratios and a Reverse Isoperimetric Inequality
2. Ellipsoids of maximal volume in convex bodies
3. Geometric Inequalities
Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Group-theoretic analysis of symmetry-preserving deployable structures and metamaterials;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2024-07-29
2. Fast and precise approximation of Minkowski sum of two rotational ellipsoids with a superellipsoid;The Visual Computer;2024-06-17
3. Three-dimensional particle tracking algorithm based on the special ellipsoids;Measurement;2023-07
4. A Closed-Form Parametrization and an Alternative Computational Algorithm for Approximating Slices of Minkowski Sums of Ellipsoids in R3;Mathematics;2022-12-27
5. Bootstrapping globally optimal variational calculus solutions;Calculus of Variations and Partial Differential Equations;2022-12-24
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3