Fast Ray Tracing of Scale‐Invariant Integral Surfaces

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