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  A Mathematically Justified Algorithm for Shape from Texture

Rhodin, H., & Breuß, M. (2013). A Mathematically Justified Algorithm for Shape from Texture. In A. Kuijper, K. Bredies, T. Pock, & H. Bischof (Eds.), Scale Space and Variational Methods in Computer Vision (pp. 294-305). Berlin: Springer. doi:10.1007/978-3-642-38267-3_25.

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 Creators:
Rhodin, Helge1, Author           
Breuß, Michael2, Author
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              
2External Organizations, ou_persistent22              

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 Abstract: In this paper we propose a new continuous Shape from Texture (SfT) model for piecewise planar surfaces. It is based on the assumptions of texture homogeneity and perspective camera projection. We show that in this setting an unidirectional texture analysis suffices for performing SfT. With carefully chosen approximations and a separable representation, novel closed-form formulas for the surface orientation in terms of texture gradients are derived. On top of this model, we propose a SfT algorithm based on spatial derivatives of the dominant local spatial frequency in the source image. The method is motivated geometrically and it is justified rigorously by error estimates. The reliability of the algorithm is evaluated by synthetic and real world experiments.

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Language(s): eng - English
 Dates: 20132013
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: DOI: 10.1007/978-3-642-38267-3_25
BibTex Citekey: Rhodin2013
Other: 5E7E5D4CA745F436C1257C6000556594-Rhodin2013
 Degree: -

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Title: 4th International Conference on Scale Space and Variational Methods in Computer Vision
Place of Event: Leibnitz, Austria
Start-/End Date: 2013-06-02 - 2013-06-06

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Title: Scale Space and Variational Methods in Computer Vision
  Abbreviation : SSVM 2013
  Subtitle : 4th International Conference, SSVM 2013 ; Schloss Seggau, Leibnitz, Austria, June 2-6, 2013 ; Proceedings
Source Genre: Proceedings
 Creator(s):
Kuijper, Arjan1, Editor
Bredies, Kristian1, Editor
Pock, Thomas1, Editor
Bischof, Horst1, Editor
Affiliations:
1 External Organizations, ou_persistent22            
Publ. Info: Berlin : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 294 - 305 Identifier: ISBN: 978-3-642-38266-3

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Title: Lecture Notes in Computer Science
  Abbreviation : LNCS
Source Genre: Series
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Publ. Info: -
Pages: - Volume / Issue: 7893 Sequence Number: - Start / End Page: - Identifier: ISSN: 0302-9743