Abstract
We propose, in this paper, a new topological classification of points in 3D images. This classification is based on two connected components numbers computed on the neighborhood of the points. These numbers allow to classify a point as an interior or isolated, border, curve, surface point or as different kinds of junctions.
The main result is that the new border point type corresponds exactly to a simple point. This allows the detection of simple points in a 3D image by counting only connected components in a neighborhood. Furthermore other types of points are better characterized.
This classification allows to extract features in a 3D image. For example, the different kinds of junction points may be used for characterizing a 3D object. An example of such an approach for the analysis of medical images is presented.
Chapter PDF
Similar content being viewed by others
References
T.Y. Kong and A. Rogenfeld. Digital topology: introduction and survey. Computer Vision, Graphics and Image Processing, 48:357–393, 1989.
V.A. Kovalevsky. Finite topology as applied to image analysis. Computer Vision, Graphics, And Image Processing, 46:141–161, 1989.
G. Malandain and G. Bettrand. A new topological segmentation of discrete surfaces. Technical report, I.N.R.I.A., Rocquencourt, 78153 Le Chesnay Cédex, France, 1992.
G. Malandain, G. Bertrand, and N. Ayache. Topological segmentation of discrete surfaces. In IEEE Computer Vision and Pattern Recognition, June 3–6 1991. Hawaii.
O. Monga, N. Ayache, and Sander P. From voxel to curvature. In IEEE Computer Vision and Pattern Recognition, June 3–6 1991. Hawaii.
O. Monga, R. Deriche, G. Malandain, and J.P Cocquerez. Recursive filtering and edge closing: two primary tools for 3d edge detection. In First European Conference on Computer Vision (ECCV), April 1990, Nice, France, 1990. also Research Report INRIA 1103.
D.G. Morgenthaler. Three-dimensional digital topology: the genus. Tr-980, Computer Science Center, University of Maryland, College Park, MD 20742, U.S.A., November 1980.
C.M. Park and A. Rosenfeld. Connectivity and genus in three dimensions. Tr-156, Computer Science Center, University of Maryland, College Park, MD 20742, U.S.A., May 1971.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bertrand, G., Malandain, G. (1992). A new topological classification of points in 3D images. In: Sandini, G. (eds) Computer Vision — ECCV'92. ECCV 1992. Lecture Notes in Computer Science, vol 588. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55426-2_78
Download citation
DOI: https://doi.org/10.1007/3-540-55426-2_78
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55426-4
Online ISBN: 978-3-540-47069-4
eBook Packages: Springer Book Archive