Efficient Shape‐Improved Bi‐3 Subdivision Surfaces

Abstract Efficient Shape‐Improved Bi‐cubic Subdivision (ESIS) is a new curvature‐bounded bi‐cubic subdivision scheme with the same minimal patch layout as Catmull–Clark surfaces, that is, patches per subdivision surface ring, but generating far better shape and using fewer pieces to cover the same ‐sided surface region. Fewer pieces means: faster downstream graphics processes and rendering, smaller files for data exchange, and fewer equations for computing on surfaces and simulation. The key technical innovations are: a non‐uniform refinement and the relaxing of formal smoothness of subdivision surface rings while preserving good highlight line distributions.