Extreme continuous level of detail for skeleton-based implicit surfaces

Skeleton-based implicit surfaces, and convolution surfaces in particular, offer an intuitive and expressive representation for geometric modeling. However, their evaluation and rendering remain computationally demanding, and are often affected by aliasing artifacts. In this paper, we introduce a continuous level of detail framework for the automatic simplification of SCALIS convolution surfaces, achieving up to an order-of-magnitude reduction in rendering time while mitigating aliasing artifacts. Our solution dynamically adapts the blending behavior between shape components to preserve the perceived visual appearance of the surface, while progressively simplifying the underlying skeletal geometry. In contrast to traditional simplification techniques, our method allows controlled changes in topological genus when visually beneficial. Our results demonstrate that the proposed framework effectively reduces visual artifacts and computational cost, while maintaining high fidelity to the overall shape.