Chain code probabilities and optimal length estimators for digitized three-dimensional curves

Nahum Kiryati; Olaf Kübler

doi:10.1016/0031-3203(94)00101-Q

Chain code probabilities and optimal length estimators for digitized three-dimensional curves

Nahum Kiryati^*, Olaf Kübler

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Length estimation of three dimensional digitized curves is considered. Three-dimensional 26-directional chain code representation is assumed. Recent results on three-dimensional Euclidean Distance Maps are inapplicable to optimal three-dimensional length estimation. To support optimal design of three-dimensional length estimators, chain code probabilities in three-dimensional chain encoded digital straight lines are derived. Optimal three-dimensional length estimators are determined and their performance is evaluated analytically and experimentally.

Original language	English
Pages (from-to)	361-372
Number of pages	12
Journal	Pattern Recognition
Volume	28
Issue number	3
DOIs	https://doi.org/10.1016/0031-3203(94)00101-Q
State	Published - Mar 1995
Externally published	Yes

Keywords

Chain codes
Digital geometry
Length estimation
Perimeter estimation
Shape analysis

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10.1016/0031-3203(94)00101-Q

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title = "Chain code probabilities and optimal length estimators for digitized three-dimensional curves",

abstract = "Length estimation of three dimensional digitized curves is considered. Three-dimensional 26-directional chain code representation is assumed. Recent results on three-dimensional Euclidean Distance Maps are inapplicable to optimal three-dimensional length estimation. To support optimal design of three-dimensional length estimators, chain code probabilities in three-dimensional chain encoded digital straight lines are derived. Optimal three-dimensional length estimators are determined and their performance is evaluated analytically and experimentally.",

keywords = "Chain codes, Digital geometry, Length estimation, Perimeter estimation, Shape analysis",

author = "Nahum Kiryati and Olaf K{\"u}bler",

year = "1995",

month = mar,

doi = "10.1016/0031-3203(94)00101-Q",

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journal = "Pattern Recognition",

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AU - Kiryati, Nahum

AU - Kübler, Olaf

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N2 - Length estimation of three dimensional digitized curves is considered. Three-dimensional 26-directional chain code representation is assumed. Recent results on three-dimensional Euclidean Distance Maps are inapplicable to optimal three-dimensional length estimation. To support optimal design of three-dimensional length estimators, chain code probabilities in three-dimensional chain encoded digital straight lines are derived. Optimal three-dimensional length estimators are determined and their performance is evaluated analytically and experimentally.

AB - Length estimation of three dimensional digitized curves is considered. Three-dimensional 26-directional chain code representation is assumed. Recent results on three-dimensional Euclidean Distance Maps are inapplicable to optimal three-dimensional length estimation. To support optimal design of three-dimensional length estimators, chain code probabilities in three-dimensional chain encoded digital straight lines are derived. Optimal three-dimensional length estimators are determined and their performance is evaluated analytically and experimentally.

KW - Chain codes

KW - Digital geometry

KW - Length estimation

KW - Perimeter estimation

KW - Shape analysis

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U2 - 10.1016/0031-3203(94)00101-Q

DO - 10.1016/0031-3203(94)00101-Q

M3 - מאמר

AN - SCOPUS:0029264112

VL - 28

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EP - 372

JO - Pattern Recognition

JF - Pattern Recognition

SN - 0031-3203

IS - 3

ER -

Chain code probabilities and optimal length estimators for digitized three-dimensional curves

Abstract

Keywords

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