Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
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SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Three-dimensional distance field metamorphosis
ACM Transactions on Graphics (TOG)
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Implicit surface-based geometric fusion
Computer Vision and Image Understanding - Special issue on CAD-based computer vision
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Feature sensitive surface extraction from volume data
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Digital Image Processing
A complete distance field representation
Proceedings of the conference on Visualization '01
Simplification and Repair of Polygonal Models Using Volumetric Techniques
IEEE Transactions on Visualization and Computer Graphics
Mesh Smoothing via Mean and Median Filtering Applied to Face Normals
GMP '02 Proceedings of the Geometric Modeling and Processing — Theory and Applications (GMP'02)
ACM SIGGRAPH 2003 Papers
3D Triangle Mesh Smoothing via Adaptive MMSE Filtering
CIT '04 Proceedings of the The Fourth International Conference on Computer and Information Technology
Topology preserving surface extraction using adaptive subdivision
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Signed Distance Transform Using Graphics Hardware
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
SUSAN structure preserving filtering for mesh denoising
The Visual Computer: International Journal of Computer Graphics
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
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VIIP '07 The Seventh IASTED International Conference on Visualization, Imaging and Image Processing
Marching triangle polygonization for efficient surface reconstruction from its distance transform
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
A Memory and Computation Efficient Sparse Level-Set Method
Journal of Scientific Computing
Automatic Grid Resolution and Efficient Triangulation of Implicit Vector Field
SIAM Journal on Imaging Sciences
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In this paper we compute the distance transform of a 3D triangle mesh. A volumetric voxel representation is defined over the mesh to evaluate the distance transform. Optimizations are described to efficiently manipulate the volumetric data structure that represents the mesh. A new method for adaptive filtering of the distance transform is introduced to smooth and reduce the noise on the meshes that were reconstructed from scanned data acquired with a 3D scanner. A modified version of the Marching Cube algorithm is presented to correctly reconstruct the final mesh of the filtered distance transform defined with the voxel representation. The new filtering method is feature preserving and it is more versatile than previous algorithms described in the literature. Results show that this method outperforms previous ones in term of an error metric comparison. Future works are discussed to improve the new method and its computing performances.