The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Les surfaces d'interpolation, telles que la surface de Bézier ou la surface B-spline, sont généralement utilisées pour représenter des objets lisses fabriqués par l'homme et offrent une excellente capacité à contrôler la forme d'une surface en déplaçant intuitivement les points de contrôle. En revanche, la technique fractale est utilisée pour créer diverses formes complexes, principalement d’objets naturels, qui présentent une autosimilarité à l’aide de procédures simples. Nous avons proposé la « surface ridée (surface WR) » pour combiner les avantages des surfaces d'interpolation et des fractales. Dans cet article, nous proposons l'expansion du schéma de construction de la surface WR aux maillages irréguliers. Les points de contrôle d'une surface WR sont interpolés à l'aide de la « Transformation aléatoire itérée (IST) ». Par conséquent, afin de réaliser l’expansion, nous généralisons d’abord l’IST sur les espaces de codes, puis proposons une IST multidimensionnelle définie sur les espaces géométriques. En créant divers exemples de modèles de forme, nous démontrons l'utilité de la surface WR en tant qu'outil de modélisation.
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Tadahiro FUJIMOTO, Yoshio OHNO, Kazunobu MURAOKA, Norishige CHIBA, "Wrinkly Surface Generated on Irregular Mesh by Using IST Generalized on Code Space and Multi-Dimensional Space: Unification of Interpolation Surface and Fractal" in IEICE TRANSACTIONS on Information,
vol. E85-D, no. 10, pp. 1663-1677, October 2002, doi: .
Abstract: Interpolation surfaces, such as Bezier or B-spline surface, are usually used for representing smooth man-made objects and provide an excellent ability to control the shape of a surface by intuitively moving control points. In contrast, the fractal technique is used for creating various complex shapes, mainly of natural objects, that have self-similarity using simple procedures. We have proposed the "wrinkly surface (WR surface)" for combining the advantages of interpolation surfaces and fractals. In this paper, we propose the expansion of the construction scheme of the WR surface to irregular meshes. Control points of a WR surface are interpolated using the "Iterated Shuffle Transformation (IST)." Therefore, in order to achieve the expansion, we first generalize the IST on code spaces, and then propose multi-dimensional IST defined on geometric spaces. By creating various shape model examples, we demonstrate the usefulness of the WR surface as a modeling tool.
URL: https://global.ieice.org/en_transactions/information/10.1587/e85-d_10_1663/_p
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@ARTICLE{e85-d_10_1663,
author={Tadahiro FUJIMOTO, Yoshio OHNO, Kazunobu MURAOKA, Norishige CHIBA, },
journal={IEICE TRANSACTIONS on Information},
title={Wrinkly Surface Generated on Irregular Mesh by Using IST Generalized on Code Space and Multi-Dimensional Space: Unification of Interpolation Surface and Fractal},
year={2002},
volume={E85-D},
number={10},
pages={1663-1677},
abstract={Interpolation surfaces, such as Bezier or B-spline surface, are usually used for representing smooth man-made objects and provide an excellent ability to control the shape of a surface by intuitively moving control points. In contrast, the fractal technique is used for creating various complex shapes, mainly of natural objects, that have self-similarity using simple procedures. We have proposed the "wrinkly surface (WR surface)" for combining the advantages of interpolation surfaces and fractals. In this paper, we propose the expansion of the construction scheme of the WR surface to irregular meshes. Control points of a WR surface are interpolated using the "Iterated Shuffle Transformation (IST)." Therefore, in order to achieve the expansion, we first generalize the IST on code spaces, and then propose multi-dimensional IST defined on geometric spaces. By creating various shape model examples, we demonstrate the usefulness of the WR surface as a modeling tool.},
keywords={},
doi={},
ISSN={},
month={October},}
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TY - JOUR
TI - Wrinkly Surface Generated on Irregular Mesh by Using IST Generalized on Code Space and Multi-Dimensional Space: Unification of Interpolation Surface and Fractal
T2 - IEICE TRANSACTIONS on Information
SP - 1663
EP - 1677
AU - Tadahiro FUJIMOTO
AU - Yoshio OHNO
AU - Kazunobu MURAOKA
AU - Norishige CHIBA
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E85-D
IS - 10
JA - IEICE TRANSACTIONS on Information
Y1 - October 2002
AB - Interpolation surfaces, such as Bezier or B-spline surface, are usually used for representing smooth man-made objects and provide an excellent ability to control the shape of a surface by intuitively moving control points. In contrast, the fractal technique is used for creating various complex shapes, mainly of natural objects, that have self-similarity using simple procedures. We have proposed the "wrinkly surface (WR surface)" for combining the advantages of interpolation surfaces and fractals. In this paper, we propose the expansion of the construction scheme of the WR surface to irregular meshes. Control points of a WR surface are interpolated using the "Iterated Shuffle Transformation (IST)." Therefore, in order to achieve the expansion, we first generalize the IST on code spaces, and then propose multi-dimensional IST defined on geometric spaces. By creating various shape model examples, we demonstrate the usefulness of the WR surface as a modeling tool.
ER -