On chain code probabilities and length estimators for digitized three dimensional curves

N. Kiryati; O. Kübier

doi:10.1109/ICPR.1992.201553

On chain code probabilities and length estimators for digitized three dimensional curves

N. Kiryati
, O. Kübier

ETH Zurich - Institute for Particle Physics and Astrophysics (IPA)
Technion-Israel Institute of Technology

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

6 Scopus citations

Abstract

Length estimation of three dimensional digitized curves is considered. Three dimensional chain code representation is assumed. It is shown that previously suggested length estimators are biased, and alternative simple estimators that possess desired optimality properties are developed. To support optimal design of three dimensional length estimators, useful statistical properties of three dimensional chain encoded digital straight lines are derived. Although this paper focuses on simple estimators, the suggested approach can be used to design more complicated three dimensional length estimators.

Original language	English
Title of host publication	Conference A
Subtitle of host publication	Computer Vision and Applications
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	259-262
Number of pages	4
ISBN (Print)	081862910X
DOIs	https://doi.org/10.1109/ICPR.1992.201553
State	Published - 1992
Externally published	Yes
Event	11th IAPR International Conference on Pattern Recognition, IAPR 1992 - The Hague, Netherlands Duration: 30 Aug 1992 → 3 Sep 1992

Publication series

Name	Proceedings - International Conference on Pattern Recognition
Volume	1
ISSN (Print)	1051-4651

Conference

Conference	11th IAPR International Conference on Pattern Recognition, IAPR 1992
Country/Territory	Netherlands
City	The Hague
Period	30/08/92 → 3/09/92

Access to Document

10.1109/ICPR.1992.201553

Cite this

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title = "On chain code probabilities and length estimators for digitized three dimensional curves",

abstract = "Length estimation of three dimensional digitized curves is considered. Three dimensional chain code representation is assumed. It is shown that previously suggested length estimators are biased, and alternative simple estimators that possess desired optimality properties are developed. To support optimal design of three dimensional length estimators, useful statistical properties of three dimensional chain encoded digital straight lines are derived. Although this paper focuses on simple estimators, the suggested approach can be used to design more complicated three dimensional length estimators.",

author = "N. Kiryati and O. K{\"u}bier",

note = "Publisher Copyright: {\textcopyright} 1992 IEEE.; 11th IAPR International Conference on Pattern Recognition, IAPR 1992 ; Conference date: 30-08-1992 Through 03-09-1992",

year = "1992",

doi = "10.1109/ICPR.1992.201553",

language = "אנגלית",

isbn = "081862910X",

series = "Proceedings - International Conference on Pattern Recognition",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "259--262",

booktitle = "Conference A",

address = "ארצות הברית",

}

Kiryati, N & Kübier, O 1992, On chain code probabilities and length estimators for digitized three dimensional curves. in Conference A: Computer Vision and Applications. Proceedings - International Conference on Pattern Recognition, vol. 1, Institute of Electrical and Electronics Engineers Inc., pp. 259-262, 11th IAPR International Conference on Pattern Recognition, IAPR 1992, The Hague, Netherlands, 30/08/92. https://doi.org/10.1109/ICPR.1992.201553

On chain code probabilities and length estimators for digitized three dimensional curves. / Kiryati, N.; Kübier, O.
Conference A: Computer Vision and Applications. Institute of Electrical and Electronics Engineers Inc., 1992. p. 259-262 (Proceedings - International Conference on Pattern Recognition; Vol. 1).

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

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N2 - Length estimation of three dimensional digitized curves is considered. Three dimensional chain code representation is assumed. It is shown that previously suggested length estimators are biased, and alternative simple estimators that possess desired optimality properties are developed. To support optimal design of three dimensional length estimators, useful statistical properties of three dimensional chain encoded digital straight lines are derived. Although this paper focuses on simple estimators, the suggested approach can be used to design more complicated three dimensional length estimators.

AB - Length estimation of three dimensional digitized curves is considered. Three dimensional chain code representation is assumed. It is shown that previously suggested length estimators are biased, and alternative simple estimators that possess desired optimality properties are developed. To support optimal design of three dimensional length estimators, useful statistical properties of three dimensional chain encoded digital straight lines are derived. Although this paper focuses on simple estimators, the suggested approach can be used to design more complicated three dimensional length estimators.

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DO - 10.1109/ICPR.1992.201553

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SN - 081862910X

T3 - Proceedings - International Conference on Pattern Recognition

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BT - Conference A

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 11th IAPR International Conference on Pattern Recognition, IAPR 1992

Y2 - 30 August 1992 through 3 September 1992

ER -

On chain code probabilities and length estimators for digitized three dimensional curves

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