On optimal light configurations in photometric stereo

Ondrej Drbohlav; Mike Chantler

doi:10.1109/ICCV.2005.177

On optimal light configurations in photometric stereo

Ondrej Drbohlav, Mike Chantler

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

62 Citations (Scopus)

Abstract

This paper develops new theory for the optimal placement of photometric stereo lighting in the presence of camera noise. We show that for three lights, any triplet of orthogonal light directions minimises the uncertainty in scaled normal computation. The assumptions are that the camera noise is additive and normally distributed, and uncertainty is defined as the expectation of squared distance of scaled normal to the ground truth. If the camera noise is of zero mean and variance s², the optimal (minimum) uncertainty in the scaled normal is 3s². For case of n > 3 lights, we show that the minimum uncertainty is 9s²/n, and identify sets of light configurations which reach this theoretical minimum. © 2005 IEEE.

Original language	English
Title of host publication	Proceedings - 10th IEEE International Conference on Computer Vision, ICCV 2005
Pages	1707-1712
Number of pages	6
Volume	II
DOIs	https://doi.org/10.1109/ICCV.2005.177
Publication status	Published - 2005
Event	Proceedings - 10th IEEE International Conference on Computer Vision - Beijing, China Duration: 17 Oct 2005 → 20 Oct 2005

Conference

Conference	Proceedings - 10th IEEE International Conference on Computer Vision
Abbreviated title	ICCV 2005
Country/Territory	China
City	Beijing
Period	17/10/05 → 20/10/05

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10.1109/ICCV.2005.177

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@inproceedings{6c9c09dce31d44fda8ecc39dd11b1b78,

title = "On optimal light configurations in photometric stereo",

abstract = "This paper develops new theory for the optimal placement of photometric stereo lighting in the presence of camera noise. We show that for three lights, any triplet of orthogonal light directions minimises the uncertainty in scaled normal computation. The assumptions are that the camera noise is additive and normally distributed, and uncertainty is defined as the expectation of squared distance of scaled normal to the ground truth. If the camera noise is of zero mean and variance s2, the optimal (minimum) uncertainty in the scaled normal is 3s2. For case of n > 3 lights, we show that the minimum uncertainty is 9s2/n, and identify sets of light configurations which reach this theoretical minimum. {\textcopyright} 2005 IEEE.",

author = "Ondrej Drbohlav and Mike Chantler",

year = "2005",

doi = "10.1109/ICCV.2005.177",

language = "English",

isbn = "076952334X",

volume = "II",

pages = "1707--1712",

booktitle = "Proceedings - 10th IEEE International Conference on Computer Vision, ICCV 2005",

note = "Proceedings - 10th IEEE International Conference on Computer Vision, ICCV 2005 ; Conference date: 17-10-2005 Through 20-10-2005",

}

TY - GEN

T1 - On optimal light configurations in photometric stereo

AU - Drbohlav, Ondrej

AU - Chantler, Mike

PY - 2005

Y1 - 2005

N2 - This paper develops new theory for the optimal placement of photometric stereo lighting in the presence of camera noise. We show that for three lights, any triplet of orthogonal light directions minimises the uncertainty in scaled normal computation. The assumptions are that the camera noise is additive and normally distributed, and uncertainty is defined as the expectation of squared distance of scaled normal to the ground truth. If the camera noise is of zero mean and variance s2, the optimal (minimum) uncertainty in the scaled normal is 3s2. For case of n > 3 lights, we show that the minimum uncertainty is 9s2/n, and identify sets of light configurations which reach this theoretical minimum. © 2005 IEEE.

AB - This paper develops new theory for the optimal placement of photometric stereo lighting in the presence of camera noise. We show that for three lights, any triplet of orthogonal light directions minimises the uncertainty in scaled normal computation. The assumptions are that the camera noise is additive and normally distributed, and uncertainty is defined as the expectation of squared distance of scaled normal to the ground truth. If the camera noise is of zero mean and variance s2, the optimal (minimum) uncertainty in the scaled normal is 3s2. For case of n > 3 lights, we show that the minimum uncertainty is 9s2/n, and identify sets of light configurations which reach this theoretical minimum. © 2005 IEEE.

U2 - 10.1109/ICCV.2005.177

DO - 10.1109/ICCV.2005.177

M3 - Conference contribution

SN - 076952334X

SN - 9780769523347

VL - II

SP - 1707

EP - 1712

BT - Proceedings - 10th IEEE International Conference on Computer Vision, ICCV 2005

T2 - Proceedings - 10th IEEE International Conference on Computer Vision

Y2 - 17 October 2005 through 20 October 2005

ER -

On optimal light configurations in photometric stereo

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