Results

**1 - 5**of**5**### unknown title

"... A hybrid scheme for contour detection and completion based on topological gradient and fast marching algorithms- Application to inpainting and segmentation ..."

Abstract
- Add to MetaCart

(Show Context)
A hybrid scheme for contour detection and completion based on topological gradient and fast marching algorithms- Application to inpainting and segmentation

### Research Article Contour Detection and Completion for Inpainting and Segmentation Based on Topological Gradient and Fast Marching Algorithms

"... Copyright © 2011 Didier Auroux et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We combine in this paper the topological gradie ..."

Abstract
- Add to MetaCart

(Show Context)
Copyright © 2011 Didier Auroux et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We combine in this paper the topological gradient, which is a powerful method for edge detection in image processing, and a variant of the minimal path method in order to find connected contours. The topological gradient provides a more global analysis of the image than the standard gradient and identifies the main edges of an image. Several image processing problems (e.g., inpainting and segmentation) require continuous contours. For this purpose, we consider the fast marching algorithm in order to find minimal paths in the topological gradient image. This coupled algorithm quickly provides accurate and connected contours. We present then two numerical applications, to image inpainting and segmentation, of this hybrid algorithm. 1.

### A Hybrid Scheme for Contour Detection and Completion Based on Topological Gradient and Fast Marching Algorithms- Application to

"... Abstract. We combine in this paper the topological gradient, which is a powerful method for edge detection in image processing, and a variant of the minimal path method in order to find connected contours. The topological gradient provides a more global analysis of the image than the standard gradie ..."

Abstract
- Add to MetaCart

(Show Context)
Abstract. We combine in this paper the topological gradient, which is a powerful method for edge detection in image processing, and a variant of the minimal path method in order to find connected contours. The topological gradient provides a more global analysis of the image than the standard gradient, and identifies the main edges of an image. Several image processing problems (e.g. inpainting and segmentation) require continuous contours. For this purpose, we consider the fast marching algorithm, in order to find minimal paths in the topological gradient image. This coupled algorithm quickly provides accurate and connected contours. We present then two numerical applications, to image inpaint-ing and segmentation, of this hybrid algorithm.

### Automatic Extraction of a Quadrilateral Network of NURBS Patches from Range Data Using Evolutionary Strategies

"... Abstract. We propose an algorithm to produce automatically a 3-D CAD model from a set of range data, based on non-uniform rational B-splines (NURBS) surface fitting technique. Our goal is to construct automatically continuous geometric models, assuming that the topology of the surface is unknown. In ..."

Abstract
- Add to MetaCart

(Show Context)
Abstract. We propose an algorithm to produce automatically a 3-D CAD model from a set of range data, based on non-uniform rational B-splines (NURBS) surface fitting technique. Our goal is to construct automatically continuous geometric models, assuming that the topology of the surface is unknown. In the propose algorithm, the triangulated surface is partitioned in quadrilateral patches, using Morse theory. The quadrilateral regions on the mesh are then regularized using geodesic curves and B-splines to obtain an improved smooth network on which to fit NURBS surfaces. NURBS surfaces are fitted and optimized us-ing evolutionary strategies. In addition, the patches are smoothly joined guaranteeing C1 continuity. Experimental results are presented. 1

### Contour detection and completion for inpainting and segmentation based on topological gradient

, 2011

"... and fast marching algorithms ..."

(Show Context)