Robust integral image rectification framework using perspective transformation supported by statistical line segment clustering

E. T. Koufogiannis; N. P. Sgouros; M. S. Sangriotis

doi:10.1364/AO.50.00H265

Applied Optics
Vol. 50,
Issue 34,
pp. H265-H277
(2011)
•https://doi.org/10.1364/AO.50.00H265

Robust integral image rectification framework using perspective transformation supported by statistical line segment clustering

E. T. Koufogiannis, N. P. Sgouros, and M. S. Sangriotis

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E. T. Koufogiannis, N. P. Sgouros, and M. S. Sangriotis, "Robust integral image rectification framework using perspective transformation supported by statistical line segment clustering," Appl. Opt. 50, H265-H277 (2011)

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Table of Contents Category
- Integral Imaging
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About this Article
History
- Original Manuscript: August 5, 2011
- Revised Manuscript: October 19, 2011
- Manuscript Accepted: November 2, 2011
- Published: December 5, 2011
Virtual Issues
Applied Optics Digital Holography and 3D Imaging 2011 (2011)

Abstract

In most integral image analysis and processing tasks, accurate knowledge of the internal image structure is required. In this paper we present a robust framework for the accurate rectification of perspectively distorted integral images based on multiple line segment detection. The use of multiple line segments increases the overall fault tolerance of our framework providing strong statistical support for the rectification process. The proposed framework is used for the automatic rectification, metric correction, and rotation of distorted integral images. The performance of our framework is assessed over a number of integral images with varying scene complexity and noise levels.

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	$l_{1}$	$l_{2}$	$α$	$β$	$θ$
noiseless	0.2295%	0.4590%	0.6771%	0.0112%	0.3817%
30 dB	0.4812%	0.0210%	0.5834%	0.0376%	0.5273%
25 dB	0.3966%	0.1782%	0.5795%	0.0170%	0.6057%
20 dB	1.1237%	3.9952%	1.0681%	0.0810%	1.1398%

	$l_{1}$	$l_{2}$	$α$	$β$	$θ$
noiseless	0.3698%	1.0473%	1.8463%	0.0104%	0.1234%
30 dB	0.5664%	1.1408%	0.6657%	0.0158%	0.3419%
25 dB	0.3006%	1.3307%	0.4325%	0.0467%	0.7342%
20 dB	3.8497%	0.9162%	0.6294%	0.2491%	2.4567%

	$l_{1}$	$l_{2}$	$α$	$β$	$θ$
noiseless	1.1759%	0.6608%	1.6784%	0.0123%	0.1374%
30 dB	0.3683%	1.1985%	0.5588%	0.1109%	0.3831%
25 dB	0.1038%	2.9553%	0.0585%	0.0456%	0.4179%
20 dB	1.3484%	1.9558%	1.7878%	0.3300%	0.4517%

	$\bar{ω_{i}} \pm σ_{ω_{i}}$	$\bar{λ_{i}} \pm σ_{λ_{i}}$
noiseless	$90.000 ° \pm 0.049 °$	$1.005 \pm 0.010$
30 dB	$90.000 ° \pm 0.050 °$	$0.999 \pm 0.011$
25 dB	$90.000 ° \pm 0.052 °$	$1.009 \pm 0.012$
20 dB	$90.000 ° \pm 0.070 °$	$1.010 \pm 0.014$

	$\bar{ω_{i}} \pm σ_{ω_{i}}$	$\bar{λ_{i}} \pm σ_{λ_{i}}$
noiseless	$90.000 ° \pm 0.097 °$	$1.0070 \pm 0.0066$
30 dB	$90.00 ° \pm 0.11 °$	$1.010 \pm 0.010$
25 dB	$90.00 ° \pm 0.19 °$	$0.999 \pm 0.016$
20 dB	$90.00 ° \pm 0.21 °$	$1.019 \pm 0.019$

$\bar{ω_{i}} \pm σ_{ω_{i}}$	$\bar{λ_{i}} \pm σ_{λ_{i}}$
$90.000 ° \pm 0.055 °$	$1.006 \pm 0.010$

$l_{1}$	$l_{2}$	$α$	$β$	$θ$
0.3267%	0.0264%	0.564%	0.0204%	0.324%

$l_{1}$	$l_{2}$	$α$	$β$	$θ$
0.3267%	0.0264%	0.564%	0.0204%	0.324%

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Applied Optics