2026-03-15T05:02:50Z https://iwate-u.repo.nii.ac.jp/oai

oai:iwate-u.repo.nii.ac.jp:00010197 2023-05-16T11:43:01Z 1515:1519

Fractal Deformation Using Displacement Vectors Based on Extended Iterated Shuffle Transformation 藤本, 忠博 大野, 義夫 村岡, 一信 千葉, 則茂 http://www.art-science.org/journal/v1n3/p134/index.html computer graphics (CG) geometric model shape deformation fractal Iterated Function System (IFS) attractor Iterated Shuffle Transformation (IST) In this paper, we propose a framework of　“fractal deformation”using displacement vectors based on “extended Iterated Shuffle Transformation (ext-IST)”. An ext-unit-IST is a one-to-one and onto mapping that is extended from a unit-IST, which we have proposed, and is basically defined on a code space. When the mapping is applied on a geometric space, a fractal-like repeated structure, which is referred to as “local resemblance in space/scale directions”, is constructed on the relationship between points on the domain and those on the range. By applying the mapping to displacement vectors given on a geometric shape, the shape can be deformed in the fractal-like repeated manner. This fractal deformation is easy to control by changing the displacement vectors intuitively. In addition, a continuous transition between a continuous deformation and a fractal deformation can be realized. We demonstrate how the fractal deformation technique produces attractive results by showing various examples. The Society for Art and Science 2002-09-25 journal article VoR https://iwate-u.repo.nii.ac.jp/records/10197 1347-2267 The journal of the Society For Art and Science 1 3 134 146 https://iwate-u.repo.nii.ac.jp/record/10197/files/jsas-v1n3p134-146.pdf application/pdf 2.2 MB 2016-11-14