Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
Local distances for distance transformations in two and three dimensions
Pattern Recognition Letters
A unified linear-time algorithm for computing distance maps
Information Processing Letters
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]
On Approximation of Jordan Surfaces in 3D
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
Fast computation of the normal vector field of the surface of a 3-D discrete object
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Geometrical parameters extraction from discrete paths
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Surface Shading in the Cuberille Environment
IEEE Computer Graphics and Applications
Continuous Shading of Curved Surfaces
IEEE Transactions on Computers
IEEE Transactions on Image Processing
Topological Equivalence between a 3D Object and the Reconstruction of Its Digital Image
IEEE Transactions on Pattern Analysis and Machine Intelligence
Technical Section: Normals estimation for digital surfaces based on convolutions
Computers and Graphics
3D noisy discrete objects: Segmentation and application to smoothing
Pattern Recognition
Estimation of surface area and surface area measure of three-dimensional sets from digitizations
Image and Vision Computing
Surface area estimation of digitized 3D objects using weighted local configurations
Image and Vision Computing
Measurements of digitized objects with fuzzy borders in 2D and 3D
Image and Vision Computing
Geometric feature estimators for noisy discrete surfaces
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
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
Segmentation of noisy discrete surfaces
IWCIA'08 Proceedings of the 12th international conference on Combinatorial image analysis
Surface area estimation of digitized 3D objects using quasi-Monte Carlo methods
Pattern Recognition
Surface volume estimation of digitized hyperplanes using weighted local configurations
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
On Multigrid Convergence of Local Algorithms for Intrinsic Volumes
Journal of Mathematical Imaging and Vision
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Surface area of discrete objects is an important feature for model-based image analysis. In this article, we present a theoretical framework in order to prove multigrid convergence of surface area estimators based on discrete normal vector field integration. The paper details an algorithm which is optimal in time and multigrid convergent to estimate the surface area and a very efficient algorithm based on a local but adaptive computation.