Uniqueness of 3D Pose Under Weak Perspective: A Geometrical Proof

Thomas S. Huang; Alfred M. Bruckstein; Robert J. Holt; Arun N. Netravali

doi:10.1109/34.476515

Uniqueness of 3D Pose Under Weak Perspective: A Geometrical Proof

Thomas S. Huang, Alfred M. Bruckstein, Robert J. Holt, Arun N. Netravali

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Abstract

We present a purely geometrical proof that under the weak perspective model, the 3D pose of a 3-point configuration is determined uniquely up to a reflection by its 2D projection.

Original language	English (US)
Pages (from-to)	1220-1221
Number of pages	2
Journal	IEEE transactions on pattern analysis and machine intelligence
Volume	17
Issue number	12
DOIs	https://doi.org/10.1109/34.476515
State	Published - Dec 1995

Keywords

Pose determination
weak perspective projection

ASJC Scopus subject areas

Software
Computer Vision and Pattern Recognition
Computational Theory and Mathematics
Artificial Intelligence
Applied Mathematics

Online availability

10.1109/34.476515

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title = "Uniqueness of 3D Pose Under Weak Perspective: A Geometrical Proof",

abstract = "We present a purely geometrical proof that under the weak perspective model, the 3D pose of a 3-point configuration is determined uniquely up to a reflection by its 2D projection.",

keywords = "Pose determination, weak perspective projection",

author = "Huang, \{Thomas S.\} and Bruckstein, \{Alfred M.\} and Holt, \{Robert J.\} and Netravali, \{Arun N.\}",

year = "1995",

month = dec,

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pages = "1220--1221",

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issn = "0162-8828",

publisher = "IEEE Computer Society",

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T2 - A Geometrical Proof

AU - Huang, Thomas S.

AU - Bruckstein, Alfred M.

AU - Holt, Robert J.

AU - Netravali, Arun N.

PY - 1995/12

Y1 - 1995/12

N2 - We present a purely geometrical proof that under the weak perspective model, the 3D pose of a 3-point configuration is determined uniquely up to a reflection by its 2D projection.

AB - We present a purely geometrical proof that under the weak perspective model, the 3D pose of a 3-point configuration is determined uniquely up to a reflection by its 2D projection.

KW - Pose determination

KW - weak perspective projection

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U2 - 10.1109/34.476515

DO - 10.1109/34.476515

M3 - Article

AN - SCOPUS:0029548127

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JO - IEEE transactions on pattern analysis and machine intelligence

JF - IEEE transactions on pattern analysis and machine intelligence

IS - 12

ER -

Uniqueness of 3D Pose Under Weak Perspective: A Geometrical Proof

Abstract

Keywords

ASJC Scopus subject areas

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