A survey of curve and surface methods in CAGD
Computer Aided Geometric Design
An introduction to splines for use in computer graphics & geometric modeling
An introduction to splines for use in computer graphics & geometric modeling
Curves and surfaces in computer aided geometric design
Curves and surfaces in computer aided geometric design
Smoothing polyhedra using implicit algebraic splines
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Interpolating splines with local tension, continuity, and bias control
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
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An algorithm is presented which can be used to alleviate shape artifacts (buckling) that occur with interpolating spline curves or interpolating spline surfaces. The algorithm consists of applying small displacements to some of the vertices that are interpolated. It is based on a quantitative measure for the amount of buckling and a relaxation method to reduce this amount.