Linear and Nonlinear Shape Alignment without Correspondences

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider the estimation of diffeomorphic deformations aligning a known binary shape and its distorted observation. The classical solution consists in extracting landmarks, establishing correspondences and then the aligning transformation is obtained via a complex optimization procedure. Herein we present an alternative solution which works without landmark correspondences, is independent of the magnitude of transformation, easy to implement, and has a linear time complexity. The proposed universal framework is capable of recovering linear as well as nonlinear deformations.

Original languageEnglish
Title of host publicationCommunications in Computer and Information Science
PublisherSpringer Verlag
Pages3-14
Number of pages12
Volume359 CCIS
ISBN (Print)9783642382406
DOIs
Publication statusPublished - 2013
Event7th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications, VISIGRAPP 2012 - Rome, Italy
Duration: Feb 24 2012Feb 26 2012

Publication series

NameCommunications in Computer and Information Science
Volume359 CCIS
ISSN (Print)18650929

Other

Other7th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications, VISIGRAPP 2012
CountryItaly
CityRome
Period2/24/122/26/12

Keywords

  • Affine transformation
  • Matching
  • Planar homo- graphy
  • Registration
  • Shape
  • Thin plate splines

ASJC Scopus subject areas

  • Computer Science(all)

Cite this

Kato, Z. (2013). Linear and Nonlinear Shape Alignment without Correspondences. In Communications in Computer and Information Science (Vol. 359 CCIS, pp. 3-14). (Communications in Computer and Information Science; Vol. 359 CCIS). Springer Verlag. https://doi.org/10.1007/978-3-642-38241-3_1

Linear and Nonlinear Shape Alignment without Correspondences. / Kato, Z.

Communications in Computer and Information Science. Vol. 359 CCIS Springer Verlag, 2013. p. 3-14 (Communications in Computer and Information Science; Vol. 359 CCIS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kato, Z 2013, Linear and Nonlinear Shape Alignment without Correspondences. in Communications in Computer and Information Science. vol. 359 CCIS, Communications in Computer and Information Science, vol. 359 CCIS, Springer Verlag, pp. 3-14, 7th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications, VISIGRAPP 2012, Rome, Italy, 2/24/12. https://doi.org/10.1007/978-3-642-38241-3_1
Kato Z. Linear and Nonlinear Shape Alignment without Correspondences. In Communications in Computer and Information Science. Vol. 359 CCIS. Springer Verlag. 2013. p. 3-14. (Communications in Computer and Information Science). https://doi.org/10.1007/978-3-642-38241-3_1
Kato, Z. / Linear and Nonlinear Shape Alignment without Correspondences. Communications in Computer and Information Science. Vol. 359 CCIS Springer Verlag, 2013. pp. 3-14 (Communications in Computer and Information Science).
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