2009
DOI: 10.1016/j.patrec.2008.08.013
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Curve matching for open 2D curves

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Cited by 82 publications
(56 citation statements)
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“…In order to match the optical paths through all arms of the device, an iterative mathematical routine, based on adjusting the curvature and direction of each route individually, has been developed. To date few such algorithms have been described in the literature, with some of the most developed work appearing in the field of machine vision where they were used in a completely different context for image/shape recognition [11][12][13]. Nevertheless, these concepts spring from the same foundation as the path length matching algorithm for photonic devices presented here.…”
Section: Introductionmentioning
confidence: 99%
“…In order to match the optical paths through all arms of the device, an iterative mathematical routine, based on adjusting the curvature and direction of each route individually, has been developed. To date few such algorithms have been described in the literature, with some of the most developed work appearing in the field of machine vision where they were used in a completely different context for image/shape recognition [11][12][13]. Nevertheless, these concepts spring from the same foundation as the path length matching algorithm for photonic devices presented here.…”
Section: Introductionmentioning
confidence: 99%
“…He presented a method that transforms the rastor of each shape into a one dimensional signal according to the occurance of the shape points on the Hilbert curve. In some case, the best matching of an open contour with part of a closed contour needs to be established [2] but all of the above complicating factors contribute collectively to increasing the complexity of the matching problem. Shape matching including wide range of applications such as, object detection and recognition, content based retrieval of images and image registration.To perform shape matching, most of the existing methods [1] define shape representations and descriptors which are the compared through appropriately selected methods and metrics.…”
Section: Related Workmentioning
confidence: 99%
“…There are several techniques in the literature that can be used to match curves, especially in image processing and pattern recognition [149], but because we project both Capacity and demand surfaces into 2-D curves, matching 2-D curves is graphically applicable.…”
Section: Curves Match Fitmentioning
confidence: 99%