NDLI: The Elastic Ratio: Introducing Curvature into Ratio-Based Globally Optimal Image Segmentation

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The Elastic Ratio: Introducing Curvature into Ratio-Based Globally Optimal Image Segmentation

Content Provider	Semantic Scholar
Author	Schoenemann, Thomas Masnou, Simon Cremers, Daniel
Copyright Year	2011
Abstract	In this paper we present the first globally optimal ratio-based image segmentation method allowing to impose c urvature regularity of the region boundary. The proposed method is fully unsupervised and compares favorably to other such approaches. To identify the optimal foreground region in the image, the algorithm minimizes the ratio of flux over a weighted sum of length and curvature regularity of the region boundary. The key concept is to find cycles in a product graph where each node corresponds to a pair of image locations. Furthermore our results allow to draw conclusions about certain global optima of a reformulated snakes functional which is independent of parameterization: the proposed algorithm allows to find parameter sets where the modified snakes functional has a meaningful solution and simultaneously provides the corresponding global solution. I. I NTRODUCTION Curvature regularity plays an important role in many fields of computer vision and image processing among them image segmentation, perceptual organization and inpainting. Ps ychological studies have identified curvature as a key component for human scene interpretation. In this paper we present a method that links curvature with image segmentation: the optimal foreground region is obtai ned by the minimization of an energy functional of the region boundary that we term thelastic ratio:
File Format	PDF HTM / HTML
Volume Number	20
Alternate Webpage(s)	https://www.researchgate.net/profile/Thomas_Schoenemann/publication/49856706_The_Elastic_Ratio_Introducing_Curvature_Into_Ratio-Based_Image_Segmentation/links/0912f509c1bf24b83f000000.pdf
Alternate Webpage(s)	https://www.ljll.math.upmc.fr/publications/2009/R09025.pdf
Alternate Webpage(s)	http://hal.archives-ouvertes.fr/docs/00/39/20/89/PDF/R09025.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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