School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Document Type
Article
Publication Date
2021
Abstract
Centroidal Voronoi tessellations (CVTs) are Voronoi tessellations of a region such that the generating points of the tessellations are also the centroids of the corresponding Voronoi regions with respect to a given probability measure. CVT is a fundamental notion that has a wide spectrum of applications in computational science and engineering. In this paper, an algorithm is given to obtain the CVTs with n-generators to level m, for any positive integers m and n, of any Cantor set generated by a pair of self-similar mappings given by S1(x)=r1x and S2(x)=r2x+(1−r2) for x∈R, where r1,r2>0 and r1+r20 and p1+p2=1.
Recommended Citation
Dettmann, Carl, and Mrinal Kanti Roychowdhury. "An algorithm to compute CVTs for finitely generated Cantor distributions." Southeast Asian Bulletin of Mathematics 45, no. 2 (2021): 173-188.
Publication Title
Southeast Asian Bulletin of Mathematics
Comments
Copyright SEAMS. 2021
https://www.seams-bull-math.ynu.edu.cn/downloadfile.jsp?filemenu=_202102&filename=02_45(2).pdf