Biquintic G2G2 surfaces via functionals

• Multi-sided holes in a bicubic patch complex are filled by a curvature-continuous cap.
• The cap is of degree bi-5 and has good and flexible shape.
• The space of n  -sided G2G2 caps of degree bi-5 is explored via functionals.

Recently, it was shown that a bi-cubic patch complex with n  -sided holes can be completed into a curvature-continuous (G2G2) surface by n-sided caps of degree bi-5 that offer good and flexible shape ( Karčiauskas and Peters, 2013). This paper further explores the space of n-sided caps of degree bi-5 but focuses on functionals to set degrees of freedom and to optimally propagate and average out curvature from the bi-cubic complex.

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