Jacques-Olivier Lachaud
  • Home
  • Featured Research
  • Publications
  • Talks
  • Events
  • Projects
  • Gallery
  • Teaching
  • Resume
  • Students
  • Tags
  • Contact
  • Privacy & Legal mentions
  • Teaching
    • INFO601cmi
    • AlgoNum
    • IPCV (Master Erasmus Mundus)
    • INFO001
    • INFO702
    • INFO804
    • INFO911
    • INFO505
  • Misc
    • INFO702 - TD rationnels
  • Recent & Upcoming Talks
    • Journées du GT GDMM / Workshop of GDMM workgroup
    • Corrected curvature measures
    • Around global and local convexity in digital spaces
    • Année "Géométrie" 2023-2024 : bilan et prospective
    • Introduction to digital geometry
    • Full convexity: new characterisations and applications
    • Thematic year "Geometry" of GDR IFM and IGRV
    • DGtal tutorial
    • Graduate School on Digital Geometry
    • Conference on Digital Geometry and Discrete Variational Calculus
    • Interpolated corrected curvature measures for polygonal surfaces
    • Digital Geometry in Pattern Recognition: Extracting Geometric Features with DGtal and Applications
    • A discrete calculus model of Ambrosio-Tortorelli’s functional
    • Digital convexity and digital planarity, global and local perspectives
    • Discrete calculus model of Ambrosio-Tortorelli’s functional
    • Convergent Geometric Estimators with Digital Volume and Surface Integrals
    • Cross Border Meeting on Discrete and Computational Geometry and Applications
    • Multigrid convergence of digital curvature estimators
    • A tutorial for DGtal library (2012)
    • A tutorial for DGtal library (2011)
    • Asymptotic linear digital geometry
    • Asymptotic linear digital geometry and applications
  • Publications
    • 2D Bijective rigid rotation: quantitative and qualitative study
    • Corrected Laplace-Beltrami Operators for Digital Surfaces
    • Recognition of Pieces of Arithmetic Hyperplanes Using the Stern-Brocot Tree
    • New Properties for Full Convex Sets and Full Convex Hulls
    • Delaunay property and proximity results of the L-algorithm for digital plane probing
    • Construction of Fast and Accurate 2D Bijective Rigid Transformation
    • Digital Calculus Frameworks and Comparative Evaluation of Their Laplace-Beltrami Operators
    • New characterizations of full convexity
    • An Envelope Operator for Full Convexity to Define Polyhedral Models in Digital Spaces
    • Lightweight Curvature Estimation on Point Clouds with Randomized Corrected Curvature Measures
    • Joint optimization of distortion and cut location for mesh parameterization using an Ambrosio-Tortorelli functional
    • Elastica Energy Regularization via Graph Cuts
    • A Simple Discrete Calculus for Digital Surfaces
    • An Alternative Definition for Digital Convexity
    • Corrected Curvature Measures
    • Full convexity for polyhedral models in digital spaces
    • A Maximum-Flow Model for Digital Elastica Shape Optimization
    • An Alternative Definition for Digital Convexity
    • An Elastica-Driven Digital Curve Evolution Model for Image Segmentation
    • Digital Surface Regularization With Guarantees
    • An Optimized Framework for Plane-Probing Algorithms
    • Interpolated corrected curvature measures for polygonal surfaces
    • Analytical description of digital intersections: Minimal parameters and multiscale representation
    • Combining voxel and normal predictions for multi-view 3D sketching
    • Digital Curvature Evolution Model for Image Segmentation
    • Digital Plane Recognition with Fewer Probes
    • Geometric Total Variation for Image Vectorization, Zooming and Pixel Art Depixelizing
    • Laplace--Beltrami Operator on Digital Surfaces
    • Phase-field modelling and computing for a large number of phases
    • Mumford-Shah Mesh Processing using the Ambrosio-Tortorelli Functional
    • Regularization of Voxel Art
    • Digital Surface Regularization by Normal Vector Field Alignment
    • Heat Kernel Laplace-Beltrami Operator on Digital Surfaces
    • 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
    • An output-sensitive algorithm to compute the normal vector of a digital plane
    • Centerline detection on partial mesh scans by confidence vote in accumulation map
    • Computation of the Normal Vector to a Digital Plane by Sampling Significant Points
    • Convergent Geometric Estimators with Digital Volume and Surface Integrals
    • Image restoration and segmentation using the Ambrosio-Tortorelli functional and discrete calculus
    • Interactive Curvature Tensor Visualization on Digital Surfaces
    • Numerical implementation of the Ambrosio-Tortorelli functional using discrete calculus and application to image restoration and inpainting
    • On the Implementation of Centerline Extraction Based on Confidence Vote in Accumulation Map
    • Piecewise smooth reconstruction of normal vector field on digital data
    • Properties of Gauss Digitized Shapes and Digital Surface Integration
    • 3D Geometric Analysis of Tubular Objects Based on Surface Normal Accumulation
    • Precise Cross-Section Estimation on Tubular Organs
    • Robust Geometry Estimation Using the Generalized Voronoi Covariance Measure
    • Scale-space feature extraction on digital surfaces
    • Extraction of Connected Region Boundary in Multidimensional Images
    • Meaningful Scales Detection: an Unsupervised Noise Detection Algorithm for Digital Contours
    • Multigrid convergent principal curvature estimators in digital geometry
    • Parameter-Free and Multigrid Convergent Digital Curvature Estimators
    • Voronoi-Based Geometry Estimator for 3D Digital Surfaces
    • Multigrid convergence of digital curvature estimators
    • A combined multi-scale/irregular algorithm for the vectorization of noisy digital contours
    • Integral based Curvature Estimators in Digital Geometry
    • Two efficient algorithms for computing the characteristics of a subsegment of a digital straight line
    • Tangent estimation along 3D digital curves
    • Digital Shape Analysis with Maximal Segments
    • Meaningful Scales Detection along Digital Contours for Unsupervised Local Noise Estimation
    • Meaningful Thickness Detection On Polygonal Curve
    • Multigrid Convergence of Discrete Geometric Estimators
    • Circular arc reconstruction of digital contours with chosen Hausdorff error
    • Computing the Characteristics of a SubSegment of a Digital Straight Line in Logarithmic Time
    • Delaunay properties of digital straight segments
    • Accurate Curvature Estimation along Digital Contours with Maximal Digital Circular Arcs
    • Combining Topological Maps, Multi-Label Simple Points, and Minimum-Length Polygons for Efficient Digital Partition Model
    • Dynamic Minimum Length Polygon
    • Fully deformable 3D digital partition model with topological control
    • Maximal Planes and Multiscale Tangential Cover of 3D Digital Objects
    • Regularization of Discrete Contour by Willmore Energy
    • Two linear-time algorithms for computing the minimum length polygon of a digital contour
    • Unsupervised, Fast and Precise Recognition of Digital Arcs in Noisy Images
    • Multiscale Analysis of Digital Segments by Intersection of 2D Digital Lines
    • Digital shape analysis with maximal segments
    • Comparison and improvement of tangent estimators on digital curves
    • Curvature estimation along noisy digital contours by approximate global optimization
    • Digital Deformable Model Simulating Active Contours
    • Lyndon + Christoffel = digitally convex
    • Multi-Label Simple Points Definition for 3D Images Digital Deformable Model
    • Multiscale Analysis of Discrete Contours for Unsupervised Noise Detection
    • Multiscale Discrete Geometry
    • Top-Down Segmentation of Histological Images Using a Digital Deformable Model
    • Two linear-time algorithms for computing the minimum length polygon of a digital contour
    • Comparison of Discrete Curvature Estimators and Application to Corner Detection
    • Discrete Contour Extraction from Reference Curvature Function
    • Equivalence between Closed Connected n-G-Maps without Multi-Incidence and n-Surfaces
    • Combinatorial view of digital convexity
    • Robust estimation of curvature along digital contours with global optimization
    • Experimental Comparison of Continuous and Discrete Tangent Estimators Along Digital Curves
    • Curvature based corner detector for discrete, noisy and multi-scale contours
    • Fast, Accurate and Convergent Tangent Estimation on Digital Contours
    • Maximal digital straight segments and convergence of discrete geometric estimators
    • Géométrie discréte et images numériques
    • Géométrie discréte et images numériques
    • Combinatorial pyramids and discrete geometry for energy-minimizing segmentation
    • Convex shapes and convergence speed of discrete tangent estimators
    • Revisiting Digital Straight Segment Recognition
    • Computation of homology groups and generators
    • Analysis and comparative evaluation of discrete tangent estimators
    • Computation of homology groups and generators
    • Deformable Model with a Complexity Independent from Image Resolution
    • Maximal digital straight segments and convergence of discrete geometric estimators
    • Equivalence between Regular n-G-maps and n-surfaces
    • Resolution Independent Deformable Model
    • Coding cells of digital spaces: a framework to write generic digital topology algorithms
    • Deformable Model with Adaptive Mesh and Automated Topology Changes
    • Geometric measures on arbitrary dimensional digital surfaces
    • Equivalence Between Order and Cell Complex Representations
    • Deformable Model with non-Euclidean Metrics
    • Delaunay conforming iso-surface; skeleton extraction and noise removal
    • Discrete deformable boundaries for the segmentation of multidimensional images
    • Continuous analogs of digital boundaries: A topological approach to iso-surfaces
    • Constructing Iso-Surfaces Satisfying the Delaunay Constraint; Application to the Skeleton Computation
    • Deformable Meshes with Automated Topology Changes for Coarse-to-fine 3D Surface Extraction
    • Digital Surfaces as a Basis for Building Iso-surfaces
    • Volumic Segmentation using Hierarchical Representation and Triangulated Surface
    • Topologically Defined Iso-surfaces
    • A discrete adaptive model following topological modifications of volumes
  • Experience
  • Advised PhD students
  • Projects
    • AlgoSurfer
    • StableProxies
    • PARADIS
    • CoMeDiC
    • DigitalSnow
    • DGtal
    • FOGRIMMI
    • GeoDIB
  • Lectures
    • INFO601_CMI Algorithmique numérique
    • INFO804 Introduction à l'informatique graphique
    • INFO505 Programmation C II
    • INFO702 Programmation générique en C++
  • Privacy policy and legal mentions
  • Posts

DGtal

Jan 1, 2010 · 0 min read
Go to Project Site website GitHub
Last updated on Jan 1, 2010
Digital Geometry Digital Topology Digital Convexity Arithmetic 2D 3D ND Discrete Calculus Discrete Geometric Estimator Image Analysis Geometry Processing Reconstruction
Jacques-Olivier Lachaud
Authors
Jacques-Olivier Lachaud
Professor of Computer Science
My research interests include digital geometry, geometry processing, image analysis, variational models and discrete calculus.
← DigitalSnow Nov 1, 2011
FOGRIMMI Nov 1, 2006 →

Privacy policy and legal mentions

© 2025 Jacques-Olivier Lachaud. This work is licensed under CC BY NC ND 4.0

Published with Hugo Blox Builder — the free, open source website builder that empowers creators.