Abstract: We present a novel algorithm for dynamic adaptive triangulation of spline surfaces. The algorithm is dynamic because it adjusts the level of detail of the triangulation at each frame. It is adaptive because it samples each surface patch more densely in regions of high curvature and less densely in regions of low curvature. The two have not been combined before. Our algorithm pre-computes a prioritized list of important samples on the surface. At rendering time, it adds these points in the specified order to the triangulation. Once the pre-computed points are exhausted and even more detail is required on some region of the patch, additional samples, now uniformly spaced, are added to the triangulation. The algorithm works well in practice and has a low memory footprint.