Wrinkly Surface Generated on Irregular Mesh by Using IST Generalized on Code Space and Multi-Dimensional Space: Unification of Interpolation Surface and Fractal
Summary :
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.
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- IEICE TRANSACTIONS on Information Vol.E85-D No.10 pp.1663-1677
- Publication Date
- 2002/10/01
- Publicized
- Online ISSN
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- Type of Manuscript
- PAPER
- Category
- Computer Graphics
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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 -
English
