Computer Vision, Graphics, and Image Processing
A fast algorithm to calculate the Euler number for binary images
Pattern Recognition Letters
Glossary of computer vision terms
Pattern Recognition
Digital image processing algorithms
Digital image processing algorithms
Parallel computation of the Euler number via connectivity graph
Pattern Recognition Letters
A fully parallel 3D thinning algorithm and its applications
Computer Vision and Image Understanding
Digital Picture Processing
Computer Vision
Digital Image Processing (3rd Edition)
Digital Image Processing (3rd Edition)
A pipeline architecture for computing the Euler number of a binary image
Journal of Systems Architecture: the EUROMICRO Journal
A note on 'A fully parallel 3D thinning algorithm and its applications'
Pattern Recognition Letters
An easy measure of compactness for 2D and 3D shapes
Pattern Recognition
Hi-index | 0.09 |
We present the computation of the Euler number of shapes using the contact perimeter. The contact perimeter was initially defined in [E. Bribiesca, Measuring 2D shape compactness using the contact perimeter, Comput. Math. Appl. 33 (1997) 1-9]. In this reference the contact perimeter was used to define a measure of compactness for 2D shapes. Now, in this paper we use the contact perimeter to compute the Euler number of unit-width objects composed of different side-connected cells and face-connected polyhedrons in two and three dimensions, respectively. Finally, we present some applications of this computation in knot and graph theory.