Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Digitizations preserving topological and differential geometric properties
Computer Vision and Image Understanding
Fundamentals of surface voxelization
Graphical Models and Image Processing
ISMM '98 Proceedings of the fourth international symposium on Mathematical morphology and its applications to image and signal processing
Algorithms for Graphics and Imag
Algorithms for Graphics and Imag
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
The supercover of an m-flat is a discrete analytical object
Theoretical Computer Science
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In this article we study digital topology with methods from mathematical morphology. We introduce reconstructions by dilations with appropriate continuous structural elements and prove that notions known from digital topology can be defined by continuous properties of this reconstruction. As a consequence we determine the domains for tunnel-free surface digitizations. It will be proven that the supercover and the grid-intersection digitization of every surface with or without boundary is always tunnel-free.