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Controllable Dendritic Crystal Simulation Using Orientation Field
Author(s) -
Ren Bo,
Huang Jiahui,
Lin Ming C.,
Hu ShiMin
Publication year - 2018
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/cgf.13378
Subject(s) - randomness , symmetry (geometry) , orientation (vector space) , computer science , polygon mesh , field (mathematics) , crystal (programming language) , computer simulation , asymmetry , geometry , computer graphics (images) , physics , simulation , mathematics , statistics , quantum mechanics , pure mathematics , programming language
Real world dendritic growths show charming structures by their exquisite balance between the symmetry and randomness in the crystal formation. Other than the variety in the natural crystals, richer visual appearance of crystals can benefit from artificially controlling of the crystal growth on its growing directions and shapes. In this paper, by introducing one extra dimension of freedom, i.e. the orientation field, into the simulation, we propose an efficient algorithm for dendritic crystal simulation that is able to reproduce arbitrary symmetry patterns with different levels of asymmetry breaking effect on general grids or meshes, including spreading on curved surfaces and growth in 3D. Flexible artistic control is also enabled in a unified manner by exploiting and guiding the orientation field in the visual simulation. We show the effectiveness of our approach by various demonstrations of simulation results.