Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Simple points, topological numbers and geodesic neighborhoods in cubic grids
Pattern Recognition Letters
A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Connectivity in Digital Pictures
Journal of the ACM (JACM)
A three-dimensional holes closing algorithm
Pattern Recognition Letters
The Ball-Pivoting Algorithm for Surface Reconstruction
IEEE Transactions on Visualization and Computer Graphics
Fast Surface Reconstruction Using the Level Set Method
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Context-based surface completion
ACM SIGGRAPH 2004 Papers
Globally Minimal Surfaces by Continuous Maximal Flows
IEEE Transactions on Pattern Analysis and Machine Intelligence
Discrete bisector function and Euclidean skeleton in 2D and 3D
Image and Vision Computing
Template-based mesh completion
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Example-based 3D scan completion
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
A robust hole-filling algorithm for triangular mesh
The Visual Computer: International Journal of Computer Graphics
Hole Filling of a 3D Model by Flipping Signs of a Signed Distance Field in Adaptive Resolution
IEEE Transactions on Pattern Analysis and Machine Intelligence
Three-Dimensional Surface Relief Completion Via Nonparametric Techniques
IEEE Transactions on Pattern Analysis and Machine Intelligence
Exact medial axis with euclidean distance
Image and Vision Computing
Detail-preserving surface inpainting
VAST'05 Proceedings of the 6th International conference on Virtual Reality, Archaeology and Intelligent Cultural Heritage
A hierarchical extension to 3D non-parametric surface relief completion
Pattern Recognition
Pattern Recognition Letters
A triangulation-based hole patching method using differential evolution
Computer-Aided Design
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The construction of hole filling (or hole segmentation) method for 3D volumetric images is a new challenging issue in computer science. It needs a geometrical approach since from a topological point of view 3D holes (tunnels) are not well-delimited subsets of three dimensional space. In this paper, the authors propose an original, efficient, flexible algorithm of hole filling for volumetric objects. The algorithm has been tested on artificial objects and very complicated crack propagation tomography images. The qualitative results, quantitative results and features of proposed approach are presented in the paper. According to our knowledge it is the first algorithm of hole filling for volumetric objects.