2007 IEEE International Symposium on Industrial Electronics 2007
DOI: 10.1109/isie.2007.4374856
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Computer Algebra Algorithms Applied to Computer Vision in a Parking Management System

Abstract: Abstract-From this paper, we propose a novel methodology to compute a 2D Homography applying some algorithms of computer algebra. We consider the classical problem of solving (exactly) a linear system of algebraic equations, and we suggest a new algorithm for computer vision, based on homomorphism methods over Z, to solve a system of equations necessary to achieve a 3 × 3 matrix H which lets us to compute the projective transformation which translates coordinates between points in different planes. From this w… Show more

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Cited by 18 publications
(10 citation statements)
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“…Considering this assumption does not hold for outdoor scenes, the limits of this approach are immediately clear. A more robust method was proposed in [34]. The authors used Gabor filters to train a classifier with images of unoccupied parking spaces under various lighting conditions.…”
Section: Related Workmentioning
confidence: 99%
“…Considering this assumption does not hold for outdoor scenes, the limits of this approach are immediately clear. A more robust method was proposed in [34]. The authors used Gabor filters to train a classifier with images of unoccupied parking spaces under various lighting conditions.…”
Section: Related Workmentioning
confidence: 99%
“…Early studies used different types of features and classification algorithms to model empty spaces (Lin, Chen, and Liu 2006;Wu et al 2007;Huang and Wang 2010). Under different lighting conditions texture descriptors are more robust than color features (Sastre et al 2007;Almeida et al 2015). Ichihashi et al in particular dealt with various luminance conditions using images captured during different hours (Ichihashi et al 2009).…”
Section: Related Work Parking Space Detectionmentioning
confidence: 99%
“…Other approaches are based on machine learning, in which feature extraction is followed by a classifier for assessing occupancy status. For instance, in [ 22 ], Gabor filters are used for extracting features; then, a training dataset containing images with different light conditions is used to achieve a more robust classification. More recently, approaches based on textural descriptors such as Local Binary Patterns (LPB) [ 23 ] and Local Phase Quantization (LPQ) [ 24 ] have appeared.…”
Section: Related Workmentioning
confidence: 99%