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Procedural Generation of Rock Piles using Aperiodic Tiling
Author(s) -
Peytavie A.,
Galin E.,
Grosjean J.,
Merillou S.
Publication year - 2009
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/j.1467-8659.2009.01557.x
Subject(s) - aperiodic graph , parameterized complexity , cube (algebra) , straddle , set (abstract data type) , computer science , algorithm , geometry , computer graphics (images) , mathematics , combinatorics , finance , economics , programming language
In this paper, we present a tiling method for generating piles of rocks without any computationally demanding physically‐based simulation. Previous techniques rely on a periodic tiling of rocks and generate unrealistic repetitive patterns. In contrast, our approach relies on a modified corner cube algorithm to generate a set of aperiodic tiles. We generalize the construction method so that the geometry of rocks should straddle corner cubes with a view to avoiding unrealistic gaps in the arrangement of rocks. Moreover, we propose an original technique to control the shape of rocks into contact by computing the Voronoï cells using a parameterized anisotropic distance. Our method has been successfully used to generate landscapes and stone huts and walls with thousands of rocks piled together.