DocumentCode
3487969
Title
Estimating homographies without normalization
Author
Rangarajan, Prasanna ; Papamichalis, Panos
Author_Institution
Southern Methodist Univ., Dallas, TX, USA
fYear
2009
fDate
7-10 Nov. 2009
Firstpage
3517
Lastpage
3520
Abstract
Existing linear methods for estimating homographies, rely on coordinate normalization, to reduce the error in the estimated homography. Unfortunately, the estimated homography depends on the choice of the normalization. The proposed extension to the (linear) Taubin estimator is the perfect substitute for such methods, as it does not rely on coordinate normalization, and produces homographies whose error is consistent with existing methods. Also, unlike existing linear methods, the proposed Taubin estimator is theoretically unbiased, and unaffected by similarity transformations of the correspondences in the two views. In addition, it can be adapted to estimate other quantities such as trifocal tensors.
Keywords
estimation theory; geometry; Taubin estimator; homography estimation; linear method; similarity transformations; trifocal tensors; Eigenvalues and eigenfunctions; Equations; Estimation theory; Iterative algorithms; Least squares approximation; Least squares methods; Multilevel systems; Tensile stress; Transforms; Vectors; Homography; Taubin estimator;
fLanguage
English
Publisher
ieee
Conference_Titel
Image Processing (ICIP), 2009 16th IEEE International Conference on
Conference_Location
Cairo
ISSN
1522-4880
Print_ISBN
978-1-4244-5653-6
Electronic_ISBN
1522-4880
Type
conf
DOI
10.1109/ICIP.2009.5414071
Filename
5414071
Link To Document