2026-03-13T01:38:24Z 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 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. journal article The Society for Art and Science 2002-09-25 VoR application/pdf The journal of the Society For Art and Science 3 1 134 146 1347-2267 https://iwate-u.repo.nii.ac.jp/record/10197/files/jsas-v1n3p134-146.pdf https://iwate-u.repo.nii.ac.jp/records/10197 http://www.art-science.org/journal/v1n3/p134/index.html