Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Discrete multidimensional Jordan surfaces
CVGIP: Graphical Models and Image Processing
Multidimensional digital boundaries
CVGIP: Graphical Models and Image Processing
Boundary extraction of discrete objects
Computer Vision and Image Understanding
Integral Operators for Computing Homology Generators at Any Dimension
CIARP '08 Proceedings of the 13th Iberoamerican congress on Pattern Recognition: Progress in Pattern Recognition, Image Analysis and Applications
CIARP '09 Proceedings of the 14th Iberoamerican Conference on Pattern Recognition: Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
A continuous analog for 4-dimensional objects
Annals of Mathematics and Artificial Intelligence
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The goal of this paper is to construct an algebraic-topological representation of a 80-adjacent doxel-based 4-dimensional digital object. Such that representation consists on associating a cell complex homologically equivalent to the digital object. To determine the pieces of this cell complex, algorithms based on weighted complete graphs and integral operators are shown. We work with integer coefficients, in order to compute the integer homology of the digital object.