%0 Conference Proceedings
%A Velho, luiz,
%T Semi-regular 4-8 refinement and box spline surfaces
%B Brazilian Symposium on Computer Graphics and Image Processing, 13 (SIBGRAPI)
%E Carvalho, Paulo Cezar Pinto,
%E Walter, Marcelo,
%J Los Alamitos
%I IEEE Computer Society
%C Gramado, RS, Brazil
%K splines (mathematics) semi-regular 4-8 refinement box spline surfaces mesh refinement method subdivision surfaces semiregular 3-direction hierarchical structure control meshes 2D manifolds arbitrary topology conforming variable-resolution mesh extraction spatially varying adaptation functions smoothing method generalized four direction box spline surfaces subdivision scheme.
%X We introduce a new mesh refinement method for subdivision surfaces. It generates a semiregular 3-direction hierarchical structure from control meshes representing 2D manifolds of arbitrary topology. The main advantage of this structure is that it allows the extraction of conforming variable-resolution meshes based on spatially varying adaptation functions. We also present a smoothing method designed to work in conjunction with our semi-regular refinement. It produces generalized four direction box spline surfaces of class C/sup 1/. Together the refinement and smoothing operators result in a subdivision scheme that is very effective in multiresolution applications.
%O The conference was held in Gramado, RS, Brazil, from October 17 to 20.
%1 SBC - Brazilian Computer Society