Computing local thickness of 3D structures with ImageJ

R Dougherty, KH Kunzelmann - Microscopy and Microanalysis, 2007 - cambridge.org
The local thickness described by Hildebrand and Rüesgsegger can characterize a 3D
binary image of a complex structure such as a bone, a cell, or a paper fiber [1]. Such images …

Optimal separable algorithms to compute the reverse euclidean distance transformation and discrete medial axis in arbitrary dimension

D Coeurjolly, A Montanvert - IEEE transactions on pattern …, 2007 - ieeexplore.ieee.org
In binary images, the distance transformation (DT) and the geometrical skeleton extraction
are classic tools for shape analysis. In this paper, we present time optimal algorithms to …

Discrete bisector function and Euclidean skeleton in 2D and 3D

M Couprie, D Coeurjolly, R Zrour - Image and Vision Computing, 2007 - Elsevier
We propose a new definition and an algorithm for the discrete bisector function, which is an
important tool for analyzing and filtering Euclidean skeletons. We also introduce a new …

Fast, accurate and convergent tangent estimation on digital contours

JO Lachaud, A Vialard, F de Vieilleville - Image and Vision Computing, 2007 - Elsevier
This paper presents a new tangent estimator to digitized curves based on digital line
recognition. It outperforms existing ones on important criteria while kee** the same …

Robust skeletonization using the discrete λ-medial axis

J Chaussard, M Couprie, H Talbot - Pattern Recognition Letters, 2011 - Elsevier
Medial axes and skeletons are notoriously sensitive to contour irregularities. This lack of
stability is a serious problem for applications in eg shape analysis and recognition. In 2005 …

A Discrete λ-Medial Axis

J Chaussard, M Couprie, H Talbot - … 30-October 2, 2009. Proceedings 15, 2009 - Springer
The λ-medial axis was introduced in 2005 by Chazal and Lieutier as a new concept for
computing the medial axis of a shape subject to filtering with a single parameter. These …

Analysis and comparative evaluation of discrete tangent estimators

JO Lachaud, A Vialard, F de Vieilleville - … 2005, Poitiers, France, April 13-15 …, 2005 - Springer
This paper presents a comparative evaluation of tangent estimators based on digital line
recognition on digital curves. The comparison is carried out with a comprehensive set of …

Estimation of curvature along curves with application to fibres in 3d images of paper

D Coeurjolly, S Svensson - … , SCIA 2003 Halmstad, Sweden, June 29–July …, 2003 - Springer
Abstract Space curves can be used to represent elongated objects in 3D images and
furthermore to facilitate the computation of shape measures for the represented objects. In …

3-D chamfer distances and norms in anisotropic grids

C Fouard, G Malandain - Image and Vision Computing, 2005 - Elsevier
Chamfer distances are widely used in image analysis and many authors have investigated
the computation of optimal chamfer mask coefficients. Unfortunately, these methods are not …

A tensorial fundamental measure density functional theory for the description of adsorption in substrates of arbitrary three-dimensional geometry

T Bernet, EA Müller, G Jackson - The Journal of Chemical Physics, 2020 - pubs.aip.org
Fundamental measure theory (FMT) is commonly considered within classical density
functional theory (DFT) to describe inhomogeneous hard-sphere (HS) fluids. As opposed to …