3-D Shape Reconstruction from Endoscope Image Sequences by The Factorization Method

Koichiro DEGUCHI; Tsuyoshi SASANO; Himiko ARAI; Hiroshi YOSHIKAWA

3-D Shape Reconstruction from Endoscope Image Sequences by The Factorization Method

Koichiro DEGUCHI, Tsuyoshi SASANO, Himiko ARAI, Hiroshi YOSHIKAWA

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A new application of the factorization method is reported for 3-D shape reconstruction from endoscope image sequences. The feasibility of the method is verified with some theoretical considerations and results of extensive experiments. This method was developed by Tomasi and Kanade, and improved by Poelman and Kanade, with the aim of achieving accurate shape reconstruction by using a large number of points and images, and robustly applying well-understood matrix computations. However, the latter stage of the method, called normalization, is not as easily understandable as the use of singular value decomposition in the first stage. In fact, as shown in this report, many choices are possible for this normalization and a variety of results have been obtained depending on the choice. This method is easy to understand, easy to implement, and provides sufficient accuracy when the approximation used for the optical system is reasonable. However, the details of the theoretical basis require further study.

Publication: IEICE TRANSACTIONS on Information Vol.E79-D No.9 pp.1329-1336

Publication Date: 1996/09/25

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Type of Manuscript: PAPER

Category: Image Processing,Computer Graphics and Pattern Recognition

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Koichiro DEGUCHI, Tsuyoshi SASANO, Himiko ARAI, Hiroshi YOSHIKAWA, "3-D Shape Reconstruction from Endoscope Image Sequences by The Factorization Method" in IEICE TRANSACTIONS on Information, vol. E79-D, no. 9, pp. 1329-1336, September 1996, doi: .
Abstract: A new application of the factorization method is reported for 3-D shape reconstruction from endoscope image sequences. The feasibility of the method is verified with some theoretical considerations and results of extensive experiments. This method was developed by Tomasi and Kanade, and improved by Poelman and Kanade, with the aim of achieving accurate shape reconstruction by using a large number of points and images, and robustly applying well-understood matrix computations. However, the latter stage of the method, called normalization, is not as easily understandable as the use of singular value decomposition in the first stage. In fact, as shown in this report, many choices are possible for this normalization and a variety of results have been obtained depending on the choice. This method is easy to understand, easy to implement, and provides sufficient accuracy when the approximation used for the optical system is reasonable. However, the details of the theoretical basis require further study.
URL: https://global.ieice.org/en_transactions/information/10.1587/e79-d_9_1329/_p

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@ARTICLE{e79-d_9_1329,
author={Koichiro DEGUCHI, Tsuyoshi SASANO, Himiko ARAI, Hiroshi YOSHIKAWA, },
journal={IEICE TRANSACTIONS on Information},
title={3-D Shape Reconstruction from Endoscope Image Sequences by The Factorization Method},
year={1996},
volume={E79-D},
number={9},
pages={1329-1336},
abstract={A new application of the factorization method is reported for 3-D shape reconstruction from endoscope image sequences. The feasibility of the method is verified with some theoretical considerations and results of extensive experiments. This method was developed by Tomasi and Kanade, and improved by Poelman and Kanade, with the aim of achieving accurate shape reconstruction by using a large number of points and images, and robustly applying well-understood matrix computations. However, the latter stage of the method, called normalization, is not as easily understandable as the use of singular value decomposition in the first stage. In fact, as shown in this report, many choices are possible for this normalization and a variety of results have been obtained depending on the choice. This method is easy to understand, easy to implement, and provides sufficient accuracy when the approximation used for the optical system is reasonable. However, the details of the theoretical basis require further study.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - 3-D Shape Reconstruction from Endoscope Image Sequences by The Factorization Method
T2 - IEICE TRANSACTIONS on Information
SP - 1329
EP - 1336
AU - Koichiro DEGUCHI
AU - Tsuyoshi SASANO
AU - Himiko ARAI
AU - Hiroshi YOSHIKAWA
PY - 1996
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E79-D
IS - 9
JA - IEICE TRANSACTIONS on Information
Y1 - September 1996
AB - A new application of the factorization method is reported for 3-D shape reconstruction from endoscope image sequences. The feasibility of the method is verified with some theoretical considerations and results of extensive experiments. This method was developed by Tomasi and Kanade, and improved by Poelman and Kanade, with the aim of achieving accurate shape reconstruction by using a large number of points and images, and robustly applying well-understood matrix computations. However, the latter stage of the method, called normalization, is not as easily understandable as the use of singular value decomposition in the first stage. In fact, as shown in this report, many choices are possible for this normalization and a variety of results have been obtained depending on the choice. This method is easy to understand, easy to implement, and provides sufficient accuracy when the approximation used for the optical system is reasonable. However, the details of the theoretical basis require further study.
ER -