An apparatus and method are described for rendering adaptive mesh refinement data. For example, one embodiment of a graphics processing apparatus comprises: a tree data structure generator to transform adaptive mesh refinement (AMR) data into a multi-octree or kd-tree data structure, respectively; an interpolator to implement an interpolation scheme based on the multi-octree or kd-tree data structure to generate interpolated results, the interpolation scheme using repeated linear interpolation; and a ray tracing-based renderer to use the interpolated results to render image frames using ray tracing techniques.