Jacques-Olivier Lachaud
Jacques-Olivier Lachaud
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digital topology
Geometric measures on arbitrary dimensional digital surfaces
This paper proposes a set of tools to analyse the geometry of multidimensional digital surfaces. Our approach is based on several works …
Jacques-Olivier Lachaud
,
A. Vialard
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Equivalence Between Order and Cell Complex Representations
In order to define consistent models and algorithms for image analysis, many topological representations of images have been proposed. …
S. Alayrangues
,
Jacques-Olivier Lachaud
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Delaunay conforming iso-surface; skeleton extraction and noise removal
Iso-surfaces are routinely used for the visualization of volumetric structures. Further processing (such as quantitative analysis, …
D. Attali
,
Jacques-Olivier Lachaud
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Continuous analogs of digital boundaries: A topological approach to iso-surfaces
The definition and extraction of objects and their boundaries within an image are essential in many imaging applications. Classically, …
Jacques-Olivier Lachaud
,
A. Montanvert
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Constructing Iso-Surfaces Satisfying the Delaunay Constraint; Application to the Skeleton Computation
We design a new model for an image iso-surface which lies in the Delaunay graph of its vertices. Within each 8-cube of the image, a set …
D. Attali
,
Jacques-Olivier Lachaud
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Digital Surfaces as a Basis for Building Iso-surfaces
This work highlights the relation existing between isosurfaces of an image with a given threshold (as classically computed by a …
Jacques-Olivier Lachaud
,
A. Montanvert
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Topologically Defined Iso-surfaces
In this article, we present a new process for defining and building the set of configurations of Marching-Cubes algorithms. Our aim is …
Jacques-Olivier Lachaud
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