On the distribution of a deforming triangle

Nirwan Ansari; Edward J. Delp

doi:10.1016/0031-3203(90)90079-Z

On the distribution of a deforming triangle

Nirwan Ansari, Edward J. Delp

Electrical and Computer Engineering

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

9 Scopus citations

Abstract

This paper presents the mathematical treatment of a new measure, sphericity, which is used to quantify the similarity between two triangles. Various properties of sphericity such as maximal invariance and its probability density function are derived.

Original language	English (US)
Pages (from-to)	1333-1341
Number of pages	9
Journal	Pattern Recognition
Volume	23
Issue number	12
DOIs	https://doi.org/10.1016/0031-3203(90)90079-Z
State	Published - 1990

All Science Journal Classification (ASJC) codes

Software
Signal Processing
Computer Vision and Pattern Recognition
Artificial Intelligence

Keywords

Affine transform
Diffeomorphism
Maximal invariant
Multivariate normal
Non-central Beta
Triangular transformation

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10.1016/0031-3203(90)90079-Z

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title = "On the distribution of a deforming triangle",

abstract = "This paper presents the mathematical treatment of a new measure, sphericity, which is used to quantify the similarity between two triangles. Various properties of sphericity such as maximal invariance and its probability density function are derived.",

keywords = "Affine transform, Diffeomorphism, Maximal invariant, Multivariate normal, Non-central Beta, Triangular transformation",

author = "Nirwan Ansari and Delp, \{Edward J.\}",

year = "1990",

doi = "10.1016/0031-3203(90)90079-Z",

language = "English (US)",

volume = "23",

pages = "1333--1341",

journal = "Pattern Recognition",

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T1 - On the distribution of a deforming triangle

AU - Ansari, Nirwan

AU - Delp, Edward J.

PY - 1990

Y1 - 1990

N2 - This paper presents the mathematical treatment of a new measure, sphericity, which is used to quantify the similarity between two triangles. Various properties of sphericity such as maximal invariance and its probability density function are derived.

AB - This paper presents the mathematical treatment of a new measure, sphericity, which is used to quantify the similarity between two triangles. Various properties of sphericity such as maximal invariance and its probability density function are derived.

KW - Affine transform

KW - Diffeomorphism

KW - Maximal invariant

KW - Multivariate normal

KW - Non-central Beta

KW - Triangular transformation

UR - https://www.scopus.com/pages/publications/0025573204

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U2 - 10.1016/0031-3203(90)90079-Z

DO - 10.1016/0031-3203(90)90079-Z

M3 - Article

AN - SCOPUS:0025573204

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VL - 23

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EP - 1341

JO - Pattern Recognition

JF - Pattern Recognition

IS - 12

ER -

On the distribution of a deforming triangle

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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