Fast Ray Tracing of Scale-Invariant Integral Surfaces,Computer Graphics Forum

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Fast Ray Tracing of Scale-Invariant Integral Surfaces
Computer Graphics Forum ( IF 2.7 ) Pub Date : 2021-03-22 , DOI: 10.1111/cgf.14208
Melike Aydinlilar ₁ , Cedric Zanni ₁

Affiliation

Scale-invariant integral surfaces, which are implicit representations of surfaces, provide a way to define smooth surfaces from skeletons with prescribed radii defined at their vertices. We introduce a new rendering pipeline allowing to visualize such surfaces in real-time. We rely on the distance to skeleton to define a sampling strategy along the camera rays, dividing each ray into sub-intervals. The proposed strategy is chosen to capture main field variations. Resulting intervals are processed iteratively, relying on two main ingredients; quadratic interpolation and field mapping, to an approximate squared homothetic distance. The first provides efficient root finding while the second increases the precision of the interpolation, and the combination of both results in an efficient processing routine. Finally, we present a GPU implementation that relies on a dynamic data-structure in order to efficiently generate the intervals along the ray. This data-structure also serves as an acceleration structure that allows constant time access to the primitives of interest during the processing of a given ray.

中文翻译：

尺度不变积分曲面的快速光线追踪

尺度不变积分曲面是曲面的隐式表示，提供了一种方法，可以根据在其顶点定义的指定半径的骨架来定义平滑曲面。我们引入了一个新的渲染管道，允许实时可视化这些表面。我们依靠到骨架的距离来定义沿相机光线的采样策略，将每条光线划分为子间隔。选择所提出的策略来捕获主要的场变化。产生的区间被迭代处理，依赖于两个主要成分；二次插值和场映射，到近似平方相似距离。第一个提供了有效的根查找，而第二个提高了插值的精度，并且两者的结合导致了高效的处理程序。最后，我们提出了一个依赖于动态数据结构的 GPU 实现，以便有效地生成沿射线的间隔。该数据结构还用作加速结构，允许在处理给定光线期间对感兴趣的基元进行恒定时间访问。

更新日期：2021-03-22

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