“Functionally Optimized Subdivision Surfaces”

  • ©Pushkar Joshi and Carlo H. Séquin

  • ©Pushkar Joshi and Carlo H. Séquin




    Functionally Optimized Subdivision Surfaces



    It can be argued that an ideal surface design system should allow a designer to specify all the boundary conditions and constraints and then provide the “best” surface under these circumstances. “Best” in this context may mean an optimization with respect to some intrinsic surface quality expressible in a functional or procedural form. For instance, the designer may want to minimize surface area (i.e. bending energy), variation of curvature, or some other aesthetically motivated functional. Systems that optimize such functionals have been demonstrated in the past, but in most cases, the optimization algorithm was too complex and too slow to provide the desired, almost instantaneous, and truly interactive surface optimization.


    Desbrun, M., Meyer, M., Schroeder, P., and Barr, A. 1999. Implicit fairing of arbitrary meshes using diffusion and curvature flow. Proc. of ACM SIGGRAPH 1999.
    HSU, L., Kusner, R., and Sullivan, J. 1992. Minimizing the squared mean curvature integral for surfaces in space forms. Experimental Math 1, 3, 191–207.
    Moreton, H., and Séquin, C. 1992. Functional optimization for fair surface design. Proc. of ACM SIGGRAPH 1992, 167–176.


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