IEICE Technical Committee Submission System
Conference Paper's Information
Online Proceedings
[Sign in]
Tech. Rep. Archives
 Go Top Page Go Previous   [Japanese] / [English] 

Paper Abstract and Keywords
Presentation 2006-03-17 16:15
*
Tsuyoshi Migita, Takeshi Shakunaga (Okayama Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) The fundamental matrix can be estimated from 7 or
more point correspondences in two uncalibrated views, and essentially
it is an epipole search in 2-dimensional space (hemisphere). However,
since the corresponding cost function is a non-linear one, unique
solution is not guaranteed. While the well-known 8-point algorithm
gives an approximate solution, neglecting the rank constraint on the
fundamental matrix, we strictly take the constraint into account and
obtain a better solution. Specifically, we reduce the problem into a
high-order polynomial equation in one variable, which is satisfied by
the ratio (e.g. $x/z$) of all the optimal or locally optimal epipole
coordinates $(x,y,z)$. We also show a lower-order equation by
introducing an approximation, which still outperforms the 8-point
algorithm.
Keyword (in Japanese) (See Japanese page) 
(in English) fundamental matrix / epipole / one-dimensional search / high-order polynomial equation / / / /  
Reference Info. IEICE Tech. Rep., vol. 105, no. 674, PRMU2005-296, pp. 241-248, March 2006.
Paper # PRMU2005-296 
Date of Issue 2006-03-10 (PRMU) 
ISSN Print edition: ISSN 0913-5685
Download PDF

Conference Information
Committee PRMU  
Conference Date 2006-03-16 - 2006-03-17 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyushu Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To PRMU 
Conference Code 2006-03-PRMU 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English)
Sub Title (in English)  
Keyword(1) fundamental matrix  
Keyword(2) epipole  
Keyword(3) one-dimensional search  
Keyword(4) high-order polynomial equation  
Keyword(5)  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Tsuyoshi Migita  
1st Author's Affiliation Okayama University (Okayama Univ.)
2nd Author's Name Takeshi Shakunaga  
2nd Author's Affiliation Okayama University (Okayama Univ.)
3rd Author's Name  
3rd Author's Affiliation ()
4th Author's Name  
4th Author's Affiliation ()
5th Author's Name  
5th Author's Affiliation ()
6th Author's Name  
6th Author's Affiliation ()
7th Author's Name  
7th Author's Affiliation ()
8th Author's Name  
8th Author's Affiliation ()
9th Author's Name  
9th Author's Affiliation ()
10th Author's Name  
10th Author's Affiliation ()
11th Author's Name  
11th Author's Affiliation ()
12th Author's Name  
12th Author's Affiliation ()
13th Author's Name  
13th Author's Affiliation ()
14th Author's Name  
14th Author's Affiliation ()
15th Author's Name  
15th Author's Affiliation ()
16th Author's Name  
16th Author's Affiliation ()
17th Author's Name  
17th Author's Affiliation ()
18th Author's Name  
18th Author's Affiliation ()
19th Author's Name  
19th Author's Affiliation ()
20th Author's Name  
20th Author's Affiliation ()
Speaker Author-1 
Date Time 2006-03-17 16:15:00 
Presentation Time 30 minutes 
Registration for PRMU 
Paper # PRMU2005-296 
Volume (vol) vol.105 
Number (no) no.674 
Page pp.241-248 
#Pages
Date of Issue 2006-03-10 (PRMU) 


[Return to Top Page]

[Return to IEICE Web Page]


The Institute of Electronics, Information and Communication Engineers (IEICE), Japan