CVGIP: Image Understanding
The Handbook of Mathematics and Computational Science
The Handbook of Mathematics and Computational Science
Segmentation and Length Estimation of 3D Discrete Curves
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
Geometrical parameters extraction from discrete paths
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Curvature of n-dimensional space curves in grey-value images
IEEE Transactions on Image Processing
Curvature and Torsion Estimators for 3D Curves
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
A New Accumulator-Based Approach to Shape Recognition
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing, Part II
Curvature and torsion estimators based on parametric curve fitting
Computers and Graphics
Flexibility description of the MET protein stalk based on the use of non-uniform B-splines
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Accurate curvature estimation along digital contours with maximal digital circular arcs
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
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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 our specific application (fibres in 3D images of paper), we want to analyze the fibre network on a voxel level with respect to elongation and bending. For this purpose, it is of interest to estimate the curvature in each voxel along a curve. We present a new discrete curvature estimator fulfilling the multigrid convergence property. Moreover, we present results from a study where curvature together with other shape measures are used to analyze the fibre network.