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A new B-spline surface reconstruction method from layer data based on deformable modelis presented. An initial deformable surface, which is represented as a closed cylinder, is firstly given.The surface is subject to internal forces describing its implicit smoothness property and externalforces attracting it toward the layer data points. And then finite element method is adopted to solve itsenergy minimization problem, which results a bicubic closed B-spline surface with C2 continuity. Theproposed method can provide a smoothness and accurate surface model directly from the layer data,without the need to fit cross-sectional curves and make them compatible. The feasibility of the pro-posed method is verified by the experimental results.
A new B-spline surface reconstruction method from layer data based on deformable model presented... An initial deformable surface, which is represented as a closed cylinder, is first given. The surface is subject to internal forces describing its implicit smoothness property and external forces attracting it And then the finite element method is solved to solve itsenergy minimization problem, which results in a bicubic closed B-spline surface with C2 continuity. Theproposed method can provide a smoothness and accurate surface model directly from the layer data, without the need to fit cross-sectional curves and make them compatible. The feasibility of the pro-posed method is verified by the experimental results.