Robust adaptive meshes for implicit surfaces

Afonso Paiva, H. Lopes, T. Lewiner, L. H. Figueiredo
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引用次数: 51

Abstract

This work introduces a robust algorithm for computing good polygonal approximations of implicit surfaces, where robustness entails recovering the exact topology of the implicit surface. Furthermore, the approximate triangle mesh adapts to the geometry and to the topology of the real implicit surface. This method generates an octree subdivided according to the interval evaluation of the implicit function in order to guarantee the robustness, and to the interval automatic differentiation in order to adapt the octree to the geometry of the implicit surface. The triangle mesh is then generated from that octree through an enhanced dual marching
隐式曲面的鲁棒自适应网格
这项工作引入了一种鲁棒算法,用于计算隐式曲面的良好多边形近似,其中鲁棒性需要恢复隐式曲面的精确拓扑。此外,近似三角形网格适应真实隐式曲面的几何形状和拓扑结构。该方法根据隐函数的区间求值生成细分的八叉树以保证鲁棒性,并根据区间自动微分生成八叉树以使八叉树适应隐曲面的几何形状。然后通过增强的双步进从该八叉树生成三角形网格
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