Combustion Waves on the Point Set Surface |
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Authors: | SoHyeon Jeong Chang‐Hun Kim |
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Affiliation: | Dept. of Computer and Radio Communications Engineering, Korea University, , Korea |
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Abstract: | This paper introduces a combustion model of heat transfer and fuel consumption for the propagation of a fire front on a point cloud surface. The heat transfer includes the heat advection by the airflow as well as diffusion, chemical reaction, and heat loss to generate complex, but controllable heat flows with a designed airflow velocity. For the stable heat advection, we solve a semi‐Lagrangian method on point samples using discrete exponential maps to trace the position from which the wind blows while preserving the geodesic distance. We also propose angular Voronoi weights for a discrete Laplace‐Beltrami operator that shows better isotropic diffusion on the inhomogeneous distribution of point clouds than the cotangent or moving least‐squares schemes. We demonstrate a diversity of burning scenarios by incorporating factors affecting the fire spreading such as buoyancy and object geometries in the airflow velocity fields, or by synthesizing patterns. |
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Keywords: | I.3.5 [Computer Graphics]: Physically based modeling— 1.3.7 [Computer Graphics]: Three‐Dimensional Graphics and Realism– Animation combustion waves angular Voronoi weight Laplace‐Beltrami operator discrete exponential map semi‐Lagrangian method |
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