Title: Computation of the Euler number using the contact perimeter
Abstract: 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.
Publication Year: 2010
Publication Date: 2010-07-05
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 19
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot