Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
CVGIP: Graphical Models and Image Processing
Volumetric shape description of range data using “Blobby Model”
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Implicit surface reconstruction from contours
The Visual Computer: International Journal of Computer Graphics - Special section on implicit surfaces
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A reconstruction method from contours is provided based on bicubic Bezier spline surface. At first, we interpolate every contour by the cubic Bezier spline curve. For corresponding points of different contours, we interpolate them by the cubic Bezier spline curve too, so the whole object can be reconstructed by the bi-cubic Bezier spline surface. The advantage of this method is that the reconstructed surface is smooth in that every Bezier surface is patched with G2 continuity, the reconstruction speed is fast because we can use the forward elimination and backward substitution method to solve the system of tridiagonal equations. The experiments show that the method is effective and applicable.