Aperiodic Texture Mapping (1997) [23 citations — 0 self]
by
Jos Stam
European Research Consortium for Informatics and Mathematics (ERCIM
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@TECHREPORT{Stam97aperiodictexture,
author = {Jos Stam},
title = {Aperiodic Texture Mapping},
institution = {European Research Consortium for Informatics and Mathematics (ERCIM},
year = {1997}
}
author = {Jos Stam},
title = {Aperiodic Texture Mapping},
institution = {European Research Consortium for Informatics and Mathematics (ERCIM},
year = {1997}
}
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Abstract:
In this paper we introduce a new technique to texture surfaces. Our approach has the advantage that the texture does not have to be computed at each point of the surface. Rather, we precompute a small set of texture maps which we then map aperiodically onto the surface. The algorithm borrows from recent mathematical results in the area of aperiodic tilings of the plane. To demonstrate the feasibility of the method we apply it to the rendering of water surfaces and caustics.
Citations
| 373 | An image synthesizer – PERLIN |
| 260 | Pyramid-based texture analysis/synthesis – HEEGER, BERGEN - 1995 |
| 179 | The RADIANCE lighting simulation and rendering system – WARD - 1994 |
| 159 | Generating textures on arbitrary surfaces using reactiondiffusion – Turk - 1991 |
| 32 | substitution systems and dynamical systems generated by them – Mozes, Tilings - 1989 |
| 7 | Solid texturing of complex surfaces – Peachy - 1985 |
| 5 | An aperiodic set of 13 Wang tiles. Discrete Mathematics – Culik - 1996 |
| 1 | The ancient Greeks never described the sea as being blue. For example, Homer in The Odyssey talks of “the wine-dark sea – Lawrence, Ltd, et al. - 1992 |
| 1 | Rendering Fur Wih Three Dimensional Textures – Kajiya, Kay - 1989 |
