Linear and nonlinear shape alignment without correspondences (bibtex)
by Zoltan Kato
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.
Reference:
Zoltan Kato, Linear and nonlinear shape alignment without correspondences, Chapter in Proceedings of International Joint Conference on Computer Vision, Imaging and Computer Graphics - Theory and Applications (Revised Selected Papers) (Paul Richard, Martin Kraus, Robert S. Laramee, Gabriela Csurka, José Braz, eds.), volume 359 of Communications in Computer and Information Science, Rome, Italy, pp. 3-17, 2013, Springer. (Keynote talk)
Bibtex Entry:
@string{springer="Springer"}
@string{ccis="Communications in Computer and Information Science"}
@INCOLLECTION{Kato2013,
  author = {Zoltan Kato},
  title = {Linear and nonlinear shape alignment without correspondences},
  booktitle = {Proceedings of International Joint Conference on Computer Vision,
	Imaging and Computer Graphics - Theory and Applications (Revised
	Selected Papers)},
  publisher = springer,
  year = {2013},
  editor = {Paul Richard and Martin Kraus and Robert S. Laramee and Gabriela
	Csurka and José Braz},
  volume = {359},
  series = ccis,
  pages = {3--17},
  address = {Rome, Italy},
  note = {Keynote talk},
  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.}
}
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