Least square conformal mapping with spring energy

  • Jingxin Nie
  • , Tianming Liu
  • , Geoffrey Young
  • , Lei Guo
  • , Stephen T.C. Wong

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

1 Scopus citations

Abstract

Mapping the cortical surface into a canonical coordinate space is an important means to study the structure and functional of the brain. Levy et al. [3] proposed a least square conformal maps method by representing conformal energy as the square sense of the Cauchy-Riemann equation. It obtains good results in both angular distortion and computation time, although it introduces certain metric and area distortion, especially when applied to the complex cortical surface. Recently, Ju et al. [4] extended the least square method to spherical conformal map. To reduce the metric and area distortion while maintaining the conformal map and computation efficiency, we designed and added the spring energy to the least square conformal maps. Our results show that the least square conformal mapping with spring energy controls metric and area distortion effectively with computational efficiency. The least square conformal mapping with spring energy is also extended to spherical mapping.

Original languageEnglish
Title of host publication2006 3rd IEEE International Symposium on Biomedical Imaging
Subtitle of host publicationFrom Nano to Macro - Proceedings
PublisherIEEE Computer Society
Pages1308-1311
Number of pages4
ISBN (Print)0780395778, 9780780395770
DOIs
StatePublished - 2006
Event3rd IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2006 - Arlington, VA, United States
Duration: 6 Apr 20069 Apr 2006

Publication series

Name2006 3rd IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings
Volume2006

Conference

Conference3rd IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2006
Country/TerritoryUnited States
CityArlington, VA
Period6/04/069/04/06

Fingerprint

Dive into the research topics of 'Least square conformal mapping with spring energy'. Together they form a unique fingerprint.

Cite this