Estimating the principal curvatures and the Darboux frame from real 3D range data

E. Hameiri; I. Shimshoni

doi:10.1109/TDPVT.2002.1024070

Estimating the principal curvatures and the Darboux frame from real 3D range data

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

As products of second-order computations, estimations of principal curvatures are highly sensitive to noise. Due to the availability of more accurate 3D range imaging equipment, evaluation of existing algorithms for the extraction of these invariants and other useful features from discrete 3D data, is now relevant. The work makes subtle but very important modifications to two such algorithms, originally suggested by Taubin (1995) and Chen and Schmitt (1992). The algorithms have been adjusted to deal with real discrete noisy range data. The results of this implementation were evaluated in a series of tests on synthetic and real input yielding reliable estimations. Our conclusion is that with current scanning technology and the algorithms presented, reliable estimates of the principal curvatures and the Darboux frame can be extracted from real data and used in a variety of more comprehensive tasks.

Original language	English
Title of host publication	Proceedings - 1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	258-267
Number of pages	10
ISBN (Electronic)	0769515215, 9780769515212
DOIs	https://doi.org/10.1109/TDPVT.2002.1024070
State	Published - 2002
Externally published	Yes
Event	1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002 - Padova, Italy Duration: 19 Jun 2002 → 21 Jun 2002

Publication series

Name	Proceedings - 1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002

Conference

Conference	1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002
Country/Territory	Italy
City	Padova
Period	19/06/02 → 21/06/02

Bibliographical note

Publisher Copyright:
© 2002 IEEE.

ASJC Scopus subject areas

Computer Science Applications
Computer Vision and Pattern Recognition
Signal Processing

Access to Document

10.1109/TDPVT.2002.1024070

Cite this

Hameiri, E., & Shimshoni, I. (2002). Estimating the principal curvatures and the Darboux frame from real 3D range data. In Proceedings - 1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002 (pp. 258-267). Article 1024070 (Proceedings - 1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/TDPVT.2002.1024070

Hameiri, E. ; Shimshoni, I. / Estimating the principal curvatures and the Darboux frame from real 3D range data. Proceedings - 1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002. Institute of Electrical and Electronics Engineers Inc., 2002. pp. 258-267 (Proceedings - 1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002).

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abstract = "As products of second-order computations, estimations of principal curvatures are highly sensitive to noise. Due to the availability of more accurate 3D range imaging equipment, evaluation of existing algorithms for the extraction of these invariants and other useful features from discrete 3D data, is now relevant. The work makes subtle but very important modifications to two such algorithms, originally suggested by Taubin (1995) and Chen and Schmitt (1992). The algorithms have been adjusted to deal with real discrete noisy range data. The results of this implementation were evaluated in a series of tests on synthetic and real input yielding reliable estimations. Our conclusion is that with current scanning technology and the algorithms presented, reliable estimates of the principal curvatures and the Darboux frame can be extracted from real data and used in a variety of more comprehensive tasks.",

author = "E. Hameiri and I. Shimshoni",

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year = "2002",

doi = "10.1109/TDPVT.2002.1024070",

language = "English",

series = "Proceedings - 1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002",

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Hameiri, E & Shimshoni, I 2002, Estimating the principal curvatures and the Darboux frame from real 3D range data. in Proceedings - 1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002., 1024070, Proceedings - 1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002, Institute of Electrical and Electronics Engineers Inc., pp. 258-267, 1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002, Padova, Italy, 19/06/02. https://doi.org/10.1109/TDPVT.2002.1024070

Estimating the principal curvatures and the Darboux frame from real 3D range data. / Hameiri, E.; Shimshoni, I.
Proceedings - 1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002. Institute of Electrical and Electronics Engineers Inc., 2002. p. 258-267 1024070 (Proceedings - 1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - As products of second-order computations, estimations of principal curvatures are highly sensitive to noise. Due to the availability of more accurate 3D range imaging equipment, evaluation of existing algorithms for the extraction of these invariants and other useful features from discrete 3D data, is now relevant. The work makes subtle but very important modifications to two such algorithms, originally suggested by Taubin (1995) and Chen and Schmitt (1992). The algorithms have been adjusted to deal with real discrete noisy range data. The results of this implementation were evaluated in a series of tests on synthetic and real input yielding reliable estimations. Our conclusion is that with current scanning technology and the algorithms presented, reliable estimates of the principal curvatures and the Darboux frame can be extracted from real data and used in a variety of more comprehensive tasks.

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Hameiri E, Shimshoni I. Estimating the principal curvatures and the Darboux frame from real 3D range data. In Proceedings - 1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002. Institute of Electrical and Electronics Engineers Inc. 2002. p. 258-267. 1024070. (Proceedings - 1st International Symposium on 3D Data Processing Visualization and Transmission, 3DPVT 2002). doi: 10.1109/TDPVT.2002.1024070

Estimating the principal curvatures and the Darboux frame from real 3D range data

Abstract

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Bibliographical note

ASJC Scopus subject areas

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