Summary
International Symposium on Nonlinear Theory and Its Applications
2016
Session Number:B2L-E
Session:
Number:B2L-E-6
Application of a Bivariate Fractal Interpolation Surface to an Analysis of Perspective Painting Images
Kazuya Ozawa, Hiroyuki Yamada, Hideo Nakano, Hideaki Okazaki,
pp.-
Publication Date:2016/11/27
Online ISSN:2188-5079
Summary:
In this paper, a lemma, and two theorems for a bivariate fractal interpolation surface (BFIS) generated by an iterated function system (IFS) with an individual vertical scaling factor, are introduced. By an affine transformation, and the BFIS, a foundation of analysis of perspective painting images including the images from arbitrary point of view together with different sfumato effects, is provided. Finally this analysis of perspective painting images are applied to the Virgin part of the Annunciation Leonardo da Vinci, and the concluding remarks are summarized.