discrete geometric estimator

Digital Surface Regularization by Normal Vector Field Alignment
Digital objects and digital surfaces are isothetic structures per se. Such surfaces are thus not adapted to direct visualization with …
D. Coeurjolly, P. Gueth, Jacques-Olivier Lachaud
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Digital Surface Regularization by Normal Vector Field Alignment
Robust and Convergent Curvature and Normal Estimators with Digital Integral Invariants
We present, in details, a generic tool to estimate differential geometric quantities on digital shapes, which are subsets of …
Jacques-Olivier Lachaud, D. Coeurjolly, J. Levallois
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Robust and Convergent Curvature and Normal Estimators with Digital Integral Invariants
Two Plane-Probing Algorithms for the Computation of the Normal Vector to a Digital Plane
Digital planes are sets of integer points located between two parallel planes. We present a new algorithm that computes the normal …
Jacques-Olivier Lachaud, X. Provençal, T. Roussillon
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Two Plane-Probing Algorithms for the Computation of the Normal Vector to a Digital Plane
CoMeDiC

Convergent Metrics for Digital Calculus

(ANR project ANR-15-CE40-0006)

Oct. 2015 - Jul. 2021

Principal Investigator

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CoMeDiC
Multigrid convergence of digital curvature estimators
Invited talk.
Nov 18, 2013 12:00 AM — Nov 22, 2013 12:00 AM Centre International de Recherche Mathématique (CIRM), Luminy, France
Jacques-Olivier Lachaud
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Multigrid convergence of digital curvature estimators
DGtal

Digital geometry tools and Algorithm.

Since 2010.

An open-source generic C++ library for digital geometry.

Co-founder

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DGtal
Comparison of Discrete Curvature Estimators and Application to Corner Detection
Several curvature estimators along digital contours were proposed in recent works [1,2,3]. These estimators are adapted to non perfect …
B. Kerautret, Jacques-Olivier Lachaud, B. Naegel
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Comparison of Discrete Curvature Estimators and Application to Corner Detection
Robust estimation of curvature along digital contours with global optimization
In this paper we introduce a new curvature estimator based on global optimisation. This method called Global Min-Curvature exploits the …
B. Kerautret, Jacques-Olivier Lachaud
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Robust estimation of curvature along digital contours with global optimization
Experimental Comparison of Continuous and Discrete Tangent Estimators Along Digital Curves
Estimating the geometry of a digital shape or contour is an important task in many image analysis applications. This paper proposes an …
F. de Vieilleville, Jacques-Olivier Lachaud
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Experimental Comparison of Continuous and Discrete Tangent Estimators Along Digital Curves
Fast, Accurate and Convergent Tangent Estimation on Digital Contours
This paper presents a new tangent estimator to digitized curves based on digital line recognition. It outperforms existing ones on …
Jacques-Olivier Lachaud, A. Vialard, F. de Vieilleville
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Fast, Accurate and Convergent Tangent Estimation on Digital Contours