The Conneulor: unbiased estimation of connectivity using physical disectors under projection

H J Gundersen; R W Boyce; J R Nyengaard; A Odgaard

doi:10.1016/8756-3282(93)90144-y

The Conneulor: unbiased estimation of connectivity using physical disectors under projection

H J Gundersen, R W Boyce, J R Nyengaard, A Odgaard

154 Citationer (Scopus)

Abstract

The Euler number and the connectivity of an arbitrary object is defined, and it is illustrated why the connectivity of an n-dimensional object cannot be estimated in an (n-1)-dimensional section. The disector--principle for 3-D counting of the Euler--events is illustrated in cancellous bone. The correct handling for unbiased counting of events at artificial edges is outlined. A nomogram for predicting the precision of an estimate is provided.

Originalsprog	Engelsk
Tidsskrift	Bone
Vol/bind	14
Udgave nummer	3
Sider (fra-til)	217-22
Antal sider	6
ISSN	8756-3282
DOI	https://doi.org/10.1016/8756-3282(93)90144-y
Status	Udgivet - 1 maj 1993
Udgivet eksternt	Ja

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abstract = "The Euler number and the connectivity of an arbitrary object is defined, and it is illustrated why the connectivity of an n-dimensional object cannot be estimated in an (n-1)-dimensional section. The disector--principle for 3-D counting of the Euler--events is illustrated in cancellous bone. The correct handling for unbiased counting of events at artificial edges is outlined. A nomogram for predicting the precision of an estimate is provided.",

keywords = "Bone and Bones/anatomy \& histology, Humans, Models, Statistical",

author = "Gundersen, \{H J\} and Boyce, \{R W\} and Nyengaard, \{J R\} and A Odgaard",

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T2 - unbiased estimation of connectivity using physical disectors under projection

AU - Gundersen, H J

AU - Boyce, R W

AU - Nyengaard, J R

AU - Odgaard, A

PY - 1993/5/1

Y1 - 1993/5/1

N2 - The Euler number and the connectivity of an arbitrary object is defined, and it is illustrated why the connectivity of an n-dimensional object cannot be estimated in an (n-1)-dimensional section. The disector--principle for 3-D counting of the Euler--events is illustrated in cancellous bone. The correct handling for unbiased counting of events at artificial edges is outlined. A nomogram for predicting the precision of an estimate is provided.

AB - The Euler number and the connectivity of an arbitrary object is defined, and it is illustrated why the connectivity of an n-dimensional object cannot be estimated in an (n-1)-dimensional section. The disector--principle for 3-D counting of the Euler--events is illustrated in cancellous bone. The correct handling for unbiased counting of events at artificial edges is outlined. A nomogram for predicting the precision of an estimate is provided.

KW - Bone and Bones/anatomy & histology

KW - Humans

KW - Models, Statistical

UR - https://www.scopus.com/pages/publications/0027255655

U2 - 10.1016/8756-3282(93)90144-y

DO - 10.1016/8756-3282(93)90144-y

M3 - Journal article

C2 - 8363860

SN - 8756-3282

VL - 14

SP - 217

EP - 222

JO - Bone

JF - Bone

IS - 3

ER -

The Conneulor: unbiased estimation of connectivity using physical disectors under projection

Abstract

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