Efficient algorithms for 3D scan-conversion of parametric curves, surfaces, and volumes
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Length estimators for digitized contours
Computer Vision, Graphics, and Image Processing
Design of Perimeter Estimators for Digitized Planar Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Length Estimation in 3-D Using Cube Quantization
Journal of Mathematical Imaging and Vision
3D scan-conversion algorithms for voxel-based graphics
I3D '86 Proceedings of the 1986 workshop on Interactive 3D graphics
3D Line Voxelization and Connectivity Control
IEEE Computer Graphics and Applications
On Recursive, O(N) Partitioning of a Digitized Curve into Digital Straight Segments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometrical parameters extraction from discrete paths
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Minimum-Length Polygons in Simple Cube-Curves
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Algorithm for computer control of a digital plotter
IBM Systems Journal
Visibility in Discrete Geometry: An Application to Discrete Geodesic Paths
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
A Comparative Evaluation of Length Estimators of Digital Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
2D and 3D visibility in discrete geometry: an application to discrete geodesic paths
Pattern Recognition Letters - Special issue: Discrete geometry for computer imagery (DGCI'2002)
Offset Approach to Defining 3D Digital Lines
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Curvature and Torsion Estimators for 3D Curves
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Multigrid convergence and surface area estimation
Proceedings of the 11th international conference on Theoretical foundations of computer vision
External versus internal parameterizations for lengths of curves with nonuniform samplings
Proceedings of the 11th international conference on Theoretical foundations of computer vision
Estimation of curvature along curves with application to fibres in 3D images of paper
SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
Minimal offsets that guarantee maximal or minimal connectivity of digital curves in nD
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
An approximation algorithm for computing minimum-length polygons in 3D images
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part IV
A generic approach for n-dimensional digital lines
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Curvature estimation for discrete curves based on auto-adaptive masks of convolution
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
Shortest paths in a cuboidal world
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
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We propose in this paper an arithmetical definition of 3-D discrete lines as well as an efficient construction algorithm. From this notion, an algorithm of 3-D discrete lines segmentation has been developed. It is then used to calculate the length of a discrete curve. Ap roof of the multigrid convergence of length estimators is presented.