Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
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
Local distances for distance transformations in two and three dimensions
Pattern Recognition Letters
Length Estimation in 3-D Using Cube Quantization
Journal of Mathematical Imaging and Vision
Multigrid Convergence of Calculated Features in Image Analysis
Journal of Mathematical Imaging and Vision
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]
Multigrid Convergence of Geometric Features
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
Recognizing arithmetic straight lines and planes
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Least-squares smoothing of 3D digital curves
Real-Time Imaging - Special issue on multi-dimensional image processing
Journal of Mathematical Imaging and Vision
Fast, accurate and convergent tangent estimation on digital contours
Image and Vision Computing
Measuring Elongation from Shape Boundary
Journal of Mathematical Imaging and Vision
Technical Section: Normals estimation for digital surfaces based on convolutions
Computers and Graphics
Comparison and improvement of tangent estimators on digital curves
Pattern Recognition
Measure of circularity for parts of digital boundaries and its fast computation
Pattern Recognition
What Does Digital Straightness Tell about Digital Convexity?
IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Normals and curvature estimation for digital surfaces based on convolutions
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Experimental comparison of continuous and discrete tangent estimators along digital curves
IWCIA'08 Proceedings of the 12th international conference on Combinatorial image analysis
Two linear-time algorithms for computing the minimum length polygon of a digital contour
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Patterns in discretized parabolas and length estimation
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Constrained and dimensionality-independent path openings
IEEE Transactions on Image Processing
Measuring Squareness and Orientation of Shapes
Journal of Mathematical Imaging and Vision
An error bounded tangent estimator for digitized elliptic curves
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Orientation and anisotropy of multi-component shapes from boundary information
Pattern Recognition
Dynamic minimum length polygon
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Theoretical Computer Science
Two linear-time algorithms for computing the minimum length polygon of a digital contour
Discrete Applied Mathematics
Measuring linearity of open planar curve segments
Image and Vision Computing
Combinatorial pyramids and discrete geometry for energy-minimizing segmentation
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
Maximal digital straight segments and convergence of discrete geometric estimators
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
Fast polynomial segmentation of digitized curves
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Analysis and comparative evaluation of discrete tangent estimators
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Supercover model and digital straight line recognition on irregular isothetic grids
DGCI'05 Proceedings of the 12th 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
Integral based curvature estimators in digital geometry
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
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Abstract--This paper compares previously published length estimators in image analysis having digitized curves as input. The evaluation uses multigrid convergence (theoretical results and measured speed of convergence) and further measures as criteria. This paper also suggests a new gradient-based method for length estimation, and combines a previously proposed length estimator for straight segments with a polygonalization method.