A hybrid steepest descent method for L-infinity geometry problems

Guoqing Zhou, Qing Wang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Recent work on geometric vision problems has exploited convexity properties to obtain globally optimal solutions. The way based on L-infinity norm makes it possible to obtain a provably global optimal solution. But the computation time increases rapidly according to the size of measurement data, so the time cost is unbearable for large scale data. We validate that L-infinity geometry problems is a variational inequality problem essentially and present a hybrid steepest descent method instead of traditional interior point algorithm to compute L-infinity solutions for large scale geometry problem. We give both theoretic justification and experimental verification. Experimental results verify that our method is extremely fast than traditional ones while keeps the accuracy.

Original languageEnglish
Title of host publicationIntelligent Science and Intelligent Data Engineering - Second Sino-Foreign-Interchange Workshop, IScIDE 2011, Revised Selected Papers
Pages458-465
Number of pages8
DOIs
StatePublished - 2012
Event2nd Sino-Foreign-Interchange Workshop on Intelligent Science and Intelligent Data Engineering, IScIDE 2011 - Xi'an, China
Duration: 23 Oct 201125 Oct 2011

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7202 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference2nd Sino-Foreign-Interchange Workshop on Intelligent Science and Intelligent Data Engineering, IScIDE 2011
Country/TerritoryChina
CityXi'an
Period23/10/1125/10/11

Keywords

  • Global optimization
  • KKT
  • L-infinity norm
  • Triangulation
  • Variational Inequality

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