Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Constraints on deformable models: recovering 3D shape and nongrid motion
Artificial Intelligence
Euclidean paths: a new representation of boundary of discrete regions
Graphical Models and Image Processing
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
Coexistence of Tricubes in Digital Naive Plane
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
Varying Neighborhood Parameters for the Computation of Normals on Surfaces in Discrete Space
CGI '98 Proceedings of the Computer Graphics International 1998
Continuous Shading of Curved Surfaces
IEEE Transactions on Computers
Reconstruction of Lambertian surfaces by discrete equal height contours and regions propagation
Image and Vision Computing
A statistical approach for geometric smoothing of discrete surfaces
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
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In this article we propose an original reversible method for discrete surface smoothing. This method is based on a statistical estimation of the discrete tangent plane on the voxels of the discrete surface. A geometrical constraint is used to control the recognition of the tangent plane. The resulting surface representation allows us to get both smooth normal vectors of the surface and a smooth surface mesh while preserving the geometrical properties of the surface.