A Fast Closed-Form Solution for Single-View Pose Determination

Ben St. John; Gerald Madlmayr

doi:10.1109/ISPA.2007.4383676

A Fast Closed-Form Solution for Single-View Pose Determination

Ben St. John, Gerald Madlmayr

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Research output: Chapter in Book/Report/Conference proceedings › Conference contribution

Abstract

In this paper, we present an extremely efficient closed-form method which yields results comparable to iterative methods, at a minor fraction of the computational cost, and without camera calibration. The algorithm solves the single view pose determination of a square marker with a straightforward, single-stage calculation. Further, the cost of the method is independent of image resolution. Our technique has two major distinctive points: an assumption of near-constant depth for the marker, which allows the splitting of the projection matrix into a perspective division and a rotation matrix, and a heuristic method using the perspective effect to disambiguate similar marker orientations.

Original language	English
Title of host publication	ISPA 2007 - Proceedings of the 5th International Symposium on Image and Signal Processing and Analysis
Publisher	IEEE
Pages	125-129
Number of pages	5
ISBN (Print)	9789531841160
DOIs	https://doi.org/10.1109/ISPA.2007.4383676
Publication status	Published - 2007
Event	5th International Symposium on Image and Signal Processing and Analysis - Istabmul, Turkey Duration: 27 Sept 2007 → 29 Sept 2007 http://www.isispa.org/

Publication series

Name	ISPA 2007 - Proceedings of the 5th International Symposium on Image and Signal Processing and Analysis

Conference

Conference	5th International Symposium on Image and Signal Processing and Analysis
Country/Territory	Turkey
City	Istabmul
Period	27.09.2007 → 29.09.2007
Internet address	http://www.isispa.org/

Keywords

Marker Based Tracking
Single view pose determination

Access to Document

10.1109/ISPA.2007.4383676

Cite this

St. John, B., & Madlmayr, G. (2007). A Fast Closed-Form Solution for Single-View Pose Determination. In ISPA 2007 - Proceedings of the 5th International Symposium on Image and Signal Processing and Analysis (pp. 125-129). Article 4383676 (ISPA 2007 - Proceedings of the 5th International Symposium on Image and Signal Processing and Analysis). IEEE. https://doi.org/10.1109/ISPA.2007.4383676

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title = "A Fast Closed-Form Solution for Single-View Pose Determination",

abstract = "In this paper, we present an extremely efficient closed-form method which yields results comparable to iterative methods, at a minor fraction of the computational cost, and without camera calibration. The algorithm solves the single view pose determination of a square marker with a straightforward, single-stage calculation. Further, the cost of the method is independent of image resolution. Our technique has two major distinctive points: an assumption of near-constant depth for the marker, which allows the splitting of the projection matrix into a perspective division and a rotation matrix, and a heuristic method using the perspective effect to disambiguate similar marker orientations.",

keywords = "Marker Based Tracking, Single view pose determination, Marker Based Tracking, Single view pose determination",

author = "{St. John}, Ben and Gerald Madlmayr",

year = "2007",

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language = "English",

isbn = "9789531841160",

series = "ISPA 2007 - Proceedings of the 5th International Symposium on Image and Signal Processing and Analysis",

publisher = "IEEE",

pages = "125--129",

booktitle = "ISPA 2007 - Proceedings of the 5th International Symposium on Image and Signal Processing and Analysis",

note = "5th International Symposium on Image and Signal Processing and Analysis ; Conference date: 27-09-2007 Through 29-09-2007",

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St. John, B & Madlmayr, G 2007, A Fast Closed-Form Solution for Single-View Pose Determination. in ISPA 2007 - Proceedings of the 5th International Symposium on Image and Signal Processing and Analysis., 4383676, ISPA 2007 - Proceedings of the 5th International Symposium on Image and Signal Processing and Analysis, IEEE, pp. 125-129, 5th International Symposium on Image and Signal Processing and Analysis, Istabmul, Turkey, 27.09.2007. https://doi.org/10.1109/ISPA.2007.4383676

A Fast Closed-Form Solution for Single-View Pose Determination. / St. John, Ben; Madlmayr, Gerald.
ISPA 2007 - Proceedings of the 5th International Symposium on Image and Signal Processing and Analysis. IEEE, 2007. p. 125-129 4383676 (ISPA 2007 - Proceedings of the 5th International Symposium on Image and Signal Processing and Analysis).

Research output: Chapter in Book/Report/Conference proceedings › Conference contribution

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AU - Madlmayr, Gerald

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N2 - In this paper, we present an extremely efficient closed-form method which yields results comparable to iterative methods, at a minor fraction of the computational cost, and without camera calibration. The algorithm solves the single view pose determination of a square marker with a straightforward, single-stage calculation. Further, the cost of the method is independent of image resolution. Our technique has two major distinctive points: an assumption of near-constant depth for the marker, which allows the splitting of the projection matrix into a perspective division and a rotation matrix, and a heuristic method using the perspective effect to disambiguate similar marker orientations.

AB - In this paper, we present an extremely efficient closed-form method which yields results comparable to iterative methods, at a minor fraction of the computational cost, and without camera calibration. The algorithm solves the single view pose determination of a square marker with a straightforward, single-stage calculation. Further, the cost of the method is independent of image resolution. Our technique has two major distinctive points: an assumption of near-constant depth for the marker, which allows the splitting of the projection matrix into a perspective division and a rotation matrix, and a heuristic method using the perspective effect to disambiguate similar marker orientations.

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DO - 10.1109/ISPA.2007.4383676

M3 - Conference contribution

SN - 9789531841160

T3 - ISPA 2007 - Proceedings of the 5th International Symposium on Image and Signal Processing and Analysis

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EP - 129

BT - ISPA 2007 - Proceedings of the 5th International Symposium on Image and Signal Processing and Analysis

PB - IEEE

T2 - 5th International Symposium on Image and Signal Processing and Analysis

Y2 - 27 September 2007 through 29 September 2007

ER -

A Fast Closed-Form Solution for Single-View Pose Determination

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Keywords

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