标量场和矢量场局部精化样条体的直接交互可视化
Direct interactive visualization of locally refined spline volumes for scalar and vector fields
摘要：
我们提出了一种新的方法，使体积局部细化B样条（LR样条）的交互式可视化。为此，我们提出了一个高效的算法直接可视化的LR样条的标量和矢量场。在这两种情况下，我们实现交互式帧速率的主要贡献是用于快速元素查找的加速结构和用于有效评估的基础的改变。为了进一步提高效率，我们提出了一个启发式的自适应采样距离的数值积分。与现有的自适应方法进行比较。这些算法旨在充分利用现代图形处理单元（GPU）的能力。LR样条体积出现的重要应用例如通过大规模模拟和传感器数据的近似以及等几何分析（IGA）给出。我们展示了通过我们的方法在不同的代表性用例上实现的交互式渲染，这些用例来自望远镜周围的风流模拟，人脑的磁共振（MR）成像，以及用于在工业过程中混合和涂覆颗粒的流化床模拟。
英文摘要：
We present a novel approach enabling interactive visualization of volumetric Locally Refined B-splines (LR-splines). To this end we propose a highly efficient algorithm for direct visualization of scalar and vector fields given by an LR-spline. In both cases, our main contribution to achieve interactive frame rates is an acceleration structure for fast element look-up and a change of basis for efficient evaluation. To further improve the efficiency, we present a heuristic for adaptive sampling distance for the numerical integration. A comparison with existing adaptive approaches is performed. The algorithms are designed to fully utilize modern graphics processing unit (GPU) capabilities. Important applications where LR-spline volumes emerge are given for instance by approximation of large-scale simulation and sensor data, and Isogeometric Analysis (IGA). We showcase interactive rendering achieved by our approach on different representative use cases, stemming from simulations of wind flow around a telescope, Magnetic Resonance (MR) imaging of a human brain, and simulations of a fluidized bed used for mixing and coating particles in industrial processes.
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