Discrete Combinatorial Surfaces
Graphical Models and Image Processing
Computational geometry: algorithms and applications
Computational geometry: algorithms and applications
Discrete analytical hyperplanes
Graphical Models and Image Processing
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
Recognizing arithmetic straight lines and planes
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Digital Straight Line Segments
IEEE Transactions on Computers
Multigrid Convergence of Geometric Features
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
Surface Area Estimation of Digitized 3D Objects Using Local Computations
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Surface area estimation of digitized 3D objects using quasi-Monte Carlo methods
Pattern Recognition
Maximal planes and multiscale tangential cover of 3D digital objects
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
Discrete surfaces segmentation into discrete planes
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Surface volume estimation of digitized hyperplanes using weighted local configurations
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Complexity analysis for digital hyperplane recognition in arbitrary fixed dimension
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
Computational aspects of digital plane and hyperplane recognition
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
On Multigrid Convergence of Local Algorithms for Intrinsic Volumes
Journal of Mathematical Imaging and Vision
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Techniques to estimate the surface area of regular solids based on polyhedrization are classified to be either local or global. Surface area calculated by local techniques generally fails to be multigrid convergent. One of the global techniques which is based on calculating the convex hull shows a tendency to be multigrid convergent. However this algorithm only deals with convex sets. The paper estimates the surface area using another global technique called DPS (Digital Planar Segment) algorithm. The projection of these DPSes into Euclidean planes is used to estimate the surface area. Multigrid convergence experiments of the estimated surface area value are used to evaluate the performance of this new method for surface area measurement.