Fast surface tracking in three-dimensional binary images
Computer Vision, Graphics, and Image Processing
Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
A topologically consistent representation for image analysis: the Topological Graph of Frontiers
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
A novel algorithm of surface eliminating in undersurface optoacoustic imaging
EURASIP Journal on Applied Signal Processing
Convex hulls in a 3-dimensional space
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The paper presents an introduction to computer topology with applications to image processing and computer graphics. Basic topological notions such as connectivity, frontier, manifolds, surfaces, combinatorial homeomorphism etc. are recalled and adapted for locally finite topological spaces. The paper describes data structures for explicitly representing classical topological spaces in computers and presents some algorithms for computing topological features of sets. Among them are: boundary tracing (n=2,3), filling of interiors (n=2,3,4), labeling of components, computing of skeletons and others.