Skinning techniques for interactive B-spline surface interpolation
Computer-Aided Design
ACM Transactions on Graphics (TOG)
Deformable curve and surface finite-elements for free-form shape design
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
The NURBS book (2nd ed.)
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Surface construction by fitting unorganized curves
Graphical Models
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An algorithm for surface fitting to curves with energy control is proposed in this paper. Given four boundary curves and a set of unorganized curves, we impose the constrained energy on the desired surface, and covert the minimum energy problem into a linear equation system of the control points of the surface. We prove that there is one unique solution of this equation system. The proposed algorithm is independent of the coordinate system, and experience shows that the resultant surface is fair.