Well-composed cell complexes

Authors:
Rocio Gonzalez-Diaz;Maria-Jose Jimenez;Belen Medrano
Affiliations:
Applied Math Department, University of Seville, Seville, Spain;Applied Math Department, University of Seville, Seville, Spain;Applied Math Department, University of Seville, Seville, Spain
Venue:
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Year:
2011

Citing 10
Cited 0

Well-composed sets

Computer Vision and Image Understanding
3D well-composed pictures

Graphical Models and Image Processing
Discrete representation of spatial objects in computer vision

Discrete representation of spatial objects in computer vision
Thinning grayscale well-composed images

Pattern Recognition Letters - Special issue: Discrete geometry for computer imagery (DGCI'2002)
Computing curvature-adaptive surface triangulations of three-dimensional image data

The Visual Computer: International Journal of Computer Graphics
On Computing Handle and Tunnel Loops

CW '07 Proceedings of the 2007 International Conference on Cyberworlds
Topological Repairing of 3D Digital Images

Journal of Mathematical Imaging and Vision
Computing geometry-aware handle and tunnel loops in 3D models

ACM SIGGRAPH 2008 papers
Technical Section: Persistence-based handle and tunnel loops computation revisited for speed up

Computers and Graphics
On the cohomology of 3D digital images

Discrete Applied Mathematics - Special issue: Advances in discrete geometry and topology (DGCI 2003)

Quantified Score

Hi-index	0.00

Visualization

Abstract

Well-composed 3D digital images, which are 3D binary digital images whose boundary surface is made up by 2D manifolds, enjoy important topological and geometric properties that turn out to be advantageous for some applications. In this paper, we present a method to transform the cubical complex associated to a 3D binary digital image (which is not generally a well-composed image) into a cell complex that is homotopy equivalent to the first one and whose boundary surface is composed by 2D manifolds. This way, the new representation of the digital image can benefit from the application of algorithms that are developed over surfaces embedded in R3.