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A Balanced Surface Parameterization Method and Its Application to Spline Fitting

  • Xiaopeng Zheng
  • , Na Lei
  • , Xiaokang Yu
  • , Wei Chen
  • , Mengci Song
  • , Xianfeng Gu
  • Jilin University
  • Dalian University of Technology
  • Qingdao University
  • Stony Brook University

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

2 Scopus citations

Abstract

Surface parameterization refers to the process of mapping a surface into a canonical domain. The goal of parameterization is to minimize geometric distortions, which can be classified as angle and area distortions. Unfortunately, in general it is impossible to achieve both angle-preserving and area-preserving parameterization. This work proposes a novel balanced parameterization method which could produce results with good balancing between the two distortions. This method is rigorous in theory and moderate in computation. Surface parameterization is a fundamental step of spline fitting. This work in further studies the spline fitting results which are respectively based on angle-preserving, area-preserving and different balanced parameterization. The experiment shows that by using balanced parameterization one could improve the spline fitting quality, and demonstrates the efficiency and efficacy of the proposed method.

Original languageEnglish
Title of host publicationProceedings - 2016 International Conference on Digital Home, ICDH 2016
EditorsZhong-Xuan Luo, Baocai Yin, Ruomei Wang, Jie-Qing Tan
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages272-277
Number of pages6
ISBN (Electronic)9781509044009
DOIs
StatePublished - Sep 15 2017
Event6th International Conference on Digital Home, ICDH 2016 - Guangzhou, Guangdong, China
Duration: Dec 2 2016Dec 4 2016

Publication series

NameProceedings - 2016 International Conference on Digital Home, ICDH 2016

Conference

Conference6th International Conference on Digital Home, ICDH 2016
Country/TerritoryChina
CityGuangzhou, Guangdong
Period12/2/1612/4/16

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