digital convexity

An Envelope Operator for Full Convexity to Define Polyhedral Models in Digital Spaces
In a recent work, full convexity has been proposed as an alternative definition of digital convexity. It solves many problems related …
Fabien Feschet, Jacques-Olivier Lachaud
PDF Cite Code Project DOI URL Springer Access
An Envelope Operator for Full Convexity to Define Polyhedral Models in Digital Spaces
Full convexity: new characterisations and applications
Invited talk at Meeting on Tomography and Applications 2023
May 15, 2023 9:30 AM — May 17, 2023 12:30 PM Politecnico di Milano
Jacques-Olivier Lachaud, Fabien Feschet
PDF Code
Full convexity: new characterisations and applications
An Alternative Definition for Digital Convexity
This paper proposes full convexity as an alternative definition of digital convexity, which is valid in arbitrary dimension. It solves …
Jacques-Olivier Lachaud
PDF Cite Code Project DOI URL
An Alternative Definition for Digital Convexity
Full convexity for polyhedral models in digital spaces
In a recent work, full convexity has been proposed as an alternative definition of digital convexity. It solves many problems related …
Fabien Feschet, Jacques-Olivier Lachaud
PDF Cite Code Project Slides
Full convexity for polyhedral models in digital spaces
An Alternative Definition for Digital Convexity
This paper proposes full convexity as an alternative definition of digital convexity, which is valid in arbitrary dimension. It solves …
Jacques-Olivier Lachaud
PDF Cite Code Project DOI URL
An Alternative Definition for Digital Convexity
DGtal

Digital geometry tools and Algorithm.

Since 2010.

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

Co-founder

website GitHub
DGtal
Lyndon + Christoffel = digitally convex
Discrete geometry redefines notions borrowed from Euclidean geometry creating a need for new algorithmical tools. The notion of …
S. Brlek, Jacques-Olivier Lachaud, X. Provençal, C. Reutenauer
PDF Cite DOI URL HAL
Lyndon + Christoffel = digitally convex
Combinatorial view of digital convexity
The notion of convexity translates non-trivially from Euclidean geometry to discrete geometry, and detecting if a discrete region of …
S. Brlek, Jacques-Olivier Lachaud, X. Provençal
PDF Cite
Combinatorial view of digital convexity
Convex shapes and convergence speed of discrete tangent estimators
Discrete geometric estimators aim at estimating geometric characteristics of a shape with only its digitization as input data. Such an …
Jacques-Olivier Lachaud, F. de Vieilleville
PDF Cite
Convex shapes and convergence speed of discrete tangent estimators