Research Initiation Award: Modeling, Rendering and Animation of Implicit Surfaces

隐式曲面是由函数为零的点描述的形状。 球体追踪是最近发展起来的一种隐式曲面绘制方法，它对隐式曲面的距离函数进行操作。 这种隐式函数是为常见的建模基元、CSG操作、一些混合和一些使对象变形的域变换而开发的，但许多其他表面（诸如偏移表面）和其他操作、混合和变形仍然存在。 球体跟踪是一种鲁棒高效的隐式曲面绘制算法。 它通过按照隐式函数报告的隐式曲面的距离沿沿着每条射线跟踪隐式曲面，从而对隐式曲面进行射线跟踪。 该迭代收敛于第一光线-曲面交点。 球体跟踪还提供了一种用于抗锯齿的区域采样方法。 对球体跟踪的增强包括球体缓冲区，它允许球体跟踪利用空间一致性，空间分区和一种用于消除隐式表面渲染中所有迭代的方法。 还解决了隐式曲面的动画问题，特别是隐式曲面变形时的一致纹理，可能会改变属。

Implicit surfaces are shapes described by the points where a function is zero. Sphere tracing is a recently developed method for rendering implicit surfaces that operates on implicit functions that indicate the distance to the implicit surface. Such implicit functions are developed for common modeling primitives, CSG operations, some blends, and some domain transformations which deform objects, but many other surfaces, such as offset surfaces, and other operations, blends and deformation remain. Sphere tracing is a robust efficient implicit surface rendering algorithm. It ray traces implicit surfaces by tracking along each ray by the distance to the implicit surface, as reported by the implicit function. This iteration converges on the first ray-surface intersection. Sphere tracing also provides an area sampling method for antialiasing. Enhancements to sphere tracing include the sphere buffer which allows sphere tracing to capitalize on spatial coherence, spatial partition, and a method for eliminating all iteration from implicit surface rendering. Also addressed are the problems of animating implicit surfaces, particularly the consistent texturing of an implicit surface as it deforms, possibly changing genus.