When employing Direct Volume Rendering (DVR) for visualizing volumetric scalar fields, classification is generally performed on a piecewise constant or piecewise linear approximation of the field on a viewing ray. Smoothed Particle Hydrodynamics (SPH) data sets define volumetric scalar fields as the sum of individual particle contributions, at highly varying spatial resolution. We present an approach for approximating SPH scalar fields along viewing rays with piece-wise polynomial functions of higher order. This is done by approximating each particle contribution individually and then efficiently summing the results, thus generating a higher-order representation of the field with a resolution adapting to the data resolution in the volume.

翻译：在采用直接体渲染（DVR）可视化体标量场时，分类通常基于视线上场的分段常数或分段线性近似进行。光滑粒子流体动力学（SPH）数据集通过将单个粒子贡献的总和定义为体标量场，其空间分辨率高度变化。我们提出一种沿视线使用分段多项式高阶函数近似SPH标量场的方法。该方法通过分别近似每个粒子贡献，再高效求和结果，从而生成与体数据分辨率自适应的高阶场表示。