Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
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
A three-dimensional holes closing algorithm
Pattern Recognition Letters
Fast Surface Reconstruction Using the Level Set Method
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
Context-based surface completion
ACM SIGGRAPH 2004 Papers
SCAPE: shape completion and animation of people
ACM SIGGRAPH 2005 Papers
ReMESH: An Interactive Environment to Edit and Repair Triangle Meshes
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
A unified method for appearance and geometry completion of point set surfaces
The Visual Computer: International Journal of Computer Graphics
Discrete bisector function and Euclidean skeleton in 2D and 3D
Image and Vision Computing
Example-based 3D scan completion
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
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
On Parallel Thinning Algorithms: Minimal Non-simple Sets, P-simple Points and Critical Kernels
Journal of Mathematical Imaging and Vision
Fixing geometric errors on polygonal models: a survey
Journal of Computer Science and Technology
Amodal volume completion: 3D visual completion
Computer Vision and Image Understanding
Geometric Approach to Hole Segmentation and Hole Closing in 3D Volumetric Objects
CIARP '09 Proceedings of the 14th Iberoamerican Conference on Pattern Recognition: Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
Hole filling in 3D volumetric objects
Pattern Recognition
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In this letter, we propose a robust, linear in time modification of Aktouf, Bertrand and Perroton's algorithm for tunnel (3D hole) closing in 3D volumetric objects. Our algorithm is insensitive to small distortions and branches. The algorithm has been tested on various 3D images including very complicated 3D crack propagation images. The results of the tests, discussion of the algorithm properties and future research plans are also included in the paper.