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 |
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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) |
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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) |
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Keyword(1) |
fundamental matrix |
Keyword(2) |
epipole |
Keyword(3) |
one-dimensional search |
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high-order polynomial equation |
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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.) |
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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 |
8 |
Date of Issue |
2006-03-10 (PRMU) |
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