Informatik-Dissertationen ETH Zürich最新文献

筛选
英文 中文
Robust algorithms in a program library for geometric computation 几何计算程序库中的鲁棒算法
Informatik-Dissertationen ETH Zürich Pub Date : 1900-01-01 DOI: 10.3929/ETHZ-A-000604568
Peter Schorn
{"title":"Robust algorithms in a program library for geometric computation","authors":"Peter Schorn","doi":"10.3929/ETHZ-A-000604568","DOIUrl":"https://doi.org/10.3929/ETHZ-A-000604568","url":null,"abstract":"Computational geometry, dealing with the efficient algoritiimic solution of geometric problems, has developed many algorithms and techniques. This dissertation deals with me question of how to produce good software for geometric computation. Using 2-dimensional problems, we present three novel techniques for coping with the problem of robustness, i.e. how to create algoritiims that correctly process even degenerate input data. In the axiomatic approach we implement die geometric primitives using rounded arithmetic such diat the essential properties needed to maintain an algorithm's invariant are preserved. In the method of explicitly detecting nearly degenerate configurations we treat diose configurations as exact degeneracies, often resulting in a provably robust implemen¬ tation. A topological argument reduces the precision requirements for an exact result in certain plane sweep algorithms. We describe the design and implementation of the XYZ GeoBench (experimental geometrY Zurich), a workbench for geometric computation. The GeoBench is a programming environment, implemented in an object oriented language, for the rapid prototyping of geometric software and a testbed for experiments. Algorithm animation is used for demonstration purposes and debugging. As an answer to the problem of robust geometric software we offer die XYZ Library which is based on the GeoBench and has been tested in various experiments.","PeriodicalId":148053,"journal":{"name":"Informatik-Dissertationen ETH Zürich","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132210332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信