Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
A Jordan surface theorem for three-dimensional digital spaces
Discrete & Computational Geometry
Some Results in Computational Topology
Journal of the ACM (JACM)
Some topological properties of discrete surfaces
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Determining the components of the complement of a digital (n-1)-manifold in Zn
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Some Structural Properties of Discrete Surfaces
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
An Axiomatic Approach to Digital Topology
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Separation Theorems for Simplicity 26-Surfaces
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
An axiomatic approach to digital topology
Digital and image geometry
Discrete Applied Mathematics
Theoretical Computer Science - Topology in computer science
Digital homotopy with obstacles
Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
Strongly normal sets of contractible tiles in N dimensions
Pattern Recognition
Local characterization of a maximum set of digital (26,6)-surfaces
Image and Vision Computing
Universal spaces for (k, k)-surfaces
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
A maximum set of (26,6)-connected digital surfaces
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Local characterization of a maximum set of digital (26,6)-surfaces
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
A plate-based definition of discrete surfaces
Pattern Recognition Letters
Generalized simple surface points
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
| Hi-index | 5.23 |
The goal of this paper is to introduce the notion of weak lighting function in order to replicate the "continuous perception" associated with strong 26-surfaces. As a consequence, the continuous analogue defined ad hoc by Malgouyres and Bertrand only for these surfaces is extended for arbitrary objects, and the local characterization of finite strong 26-surfaces given in (Malgouyres and Bertrand, Int. J. Pattern Recognition Art. Intell. 13(4) (1999) 465-484) is generalized to possibly infinite surfaces. Moreover, weak lighting functions also replicate the "continuous perception" associated with (,)-surfaces, (,)(6,6), since they are generalizing the lighting functions previously defined by the authors.