digital geometry

Extraction of Connected Region Boundary in Multidimensional Images
This paper presents an algorithm to extract the boundary of a connected region(s) using classical topology definitions. From a given …
D. Coeurjolly, B. Kerautret, Jacques-Olivier Lachaud
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Extraction of Connected Region Boundary in Multidimensional Images
Meaningful Scales Detection: an Unsupervised Noise Detection Algorithm for Digital Contours
This work presents an algorithm which permits to detect locally on digital contour what is the amount of noise estimated from a given …
B. Kerautret, Jacques-Olivier Lachaud
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Meaningful Scales Detection: an Unsupervised Noise Detection Algorithm for Digital Contours
Multigrid convergent principal curvature estimators in digital geometry
In many geometry processing applications, the estimation of differential geometric quantities such as curvature or normal vector field …
D. Coeurjolly, Jacques-Olivier Lachaud, J. Levallois
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Multigrid convergent principal curvature estimators in digital geometry
Parameter-Free and Multigrid Convergent Digital Curvature Estimators
In many geometry processing applications, the estimation of differential geometric quantities such as curvature or normal vector field …
J. Levallois, D. Coeurjolly, Jacques-Olivier Lachaud
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Parameter-Free and Multigrid Convergent Digital Curvature Estimators
Voronoi-Based Geometry Estimator for 3D Digital Surfaces
We propose a robust estimator of geometric quantities such as normals, curvature directions and sharp features for 3D digital surfaces. …
L. Cuel, Jacques-Olivier Lachaud, B. Thibert
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Voronoi-Based Geometry Estimator for 3D Digital Surfaces
A combined multi-scale/irregular algorithm for the vectorization of noisy digital contours
This paper proposes and evaluates a new method for reconstructing a polygonal representation from arbitrary digital contours that are …
A. Vacavant, T. Roussillon, B. Kerautret, Jacques-Olivier Lachaud
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A combined multi-scale/irregular algorithm for the vectorization of noisy digital contours
Integral based Curvature Estimators in Digital Geometry
In many geometry processing applications, the estimation of differential geometric quantities such as curvature or normal vector field …
D. Coeurjolly, Jacques-Olivier Lachaud, J. Levallois
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Integral based Curvature Estimators in Digital Geometry
Two efficient algorithms for computing the characteristics of a subsegment of a digital straight line
We address the problem of computing the exact characteristics of any subsegment of a Digital Straight Line (DSL) with known …
Jacques-Olivier Lachaud, M. Said
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Two efficient algorithms for computing the characteristics of a subsegment of a digital straight line
Tangent estimation along 3D digital curves
In this paper, we present a new three-dimensional (3D) tangent estimator by extending the well-known two-dimensional (2D) λ-maximal …
M. Postolski, M. Janaszewski, Y. Kenmochi, Jacques-Olivier Lachaud
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Tangent estimation along 3D digital curves
Digital Shape Analysis with Maximal Segments
We show in this paper how a digital shape can be efficiently analyzed through the maximal segments defined along its digital contour. …
Jacques-Olivier Lachaud
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Digital Shape Analysis with Maximal Segments