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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-BWA1-0013-0006

Czasopismo

Machine Graphics and Vision

Tytuł artykułu

A variantional approach to 3D line orientation estimation from motion

Autorzy Yang, L.  Sahli, H.  Hao, D. N. 
Treść / Zawartość http://mgv.wzim.sggw.pl/#contents
Warianty tytułu
Języki publikacji EN
Abstrakty
EN A variational approach to estimating 3D line orientation from motion is presented. A 2D motion constraint on 3D lines regularized by a quadratic term is used to set up an objective functional. From its associated Euler-Lagrange equations, we develop a vector-valued diffusion model, with a reaction term based on the 2D motion constraint. Three separate diffusion processes, corresponding to each component of the 3D line orientation, are coupled with each other through the reaction term and evolve simultaneously. Each 3D line orientation is estimated separately. The regularization parameter is estimated by an L-curve, which provides a better estimation. Experimental results from image sequences indicate stability and accuracy of the approach.
Słowa kluczowe
EN line orientation   motion   variational approach   vector-valued reaction diffusion   L-curve  
Wydawca Faculty of Applied Informatics and Mathematics of the Warsaw University of Life Sciences
Czasopismo Machine Graphics and Vision
Rocznik 2005
Tom Vol. 14, No. 4
Strony 441--453
Opis fizyczny Bibliogr. 17 poz., rys., wykr.
Twórcy
autor Yang, L.
  • ETRO-IRIS, Vrije Universiteit Brussel, B-1050, Brussels, Belgium
autor Sahli, H.
  • ETRO-IRIS, Vrije Universiteit Brussel, B-1050, Brussels, Belgium
autor Hao, D. N.
  • ETRO-IRIS, Vrije Universiteit Brussel, B-1050, Brussels, Belgium
Bibliografia
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[11] Kimmel R. and Bruckstein A.: Tracking level sets by level sets: A method for solving the shape from shading problem. Computer Vision and Image Understanding, 62, 47-58, 1995.
[12] Faugeras O.: Three-Dimensional Computer Vision - A Geometric Viewpoint. The MIT Press, 1996.
[13] Faugeras O. and Keriven R.: Variational principles, surface evolution, PDEs, level set methods and the stereo problem. Technical Report 3021, INRIA, Sophia Antipolis, 1996.
[14] Weickert J.: Anisotropic Diffusion in Image Processing. B. G. Teubner, Stuttgart, 1998.
[15] Yang L. and Sahli H.: Integration for 3D structure/motion estimation based on line drawings. Journal of Machine Graphics and Vision, 9, 251-261, 2000.
[16] Hansen P. C.: The L-curve and its use in the numerical treatment of inverse problems. P. Johnston (Ed.), Computational Inverse Problems in Electrocardiology, WIT Press, Southampton, 119-142, 2001.
[17] Yang L.: Structure and Motion Analysis: Variational Methods and Related PDE Models. PhD thesis, ETRO, Vrije Universiteit Brussel, Pieinlaan 2, B-1050 Brussel, Belgium, July, 2004.
Kolekcja BazTech
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