2011Water Resources and PowerRequires access

Cubic B-spline Fitting and Optimization of Characteristic Curve of Turbine

Zhang You-cai

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Abstract

Aiming at the low precision status of characteristic curve of turbine with traditional B-spline fitting,optimal cubic B-spline curve is applied to calculate the characteristic curve of model turbine approximatively.Curve fitting effect is good.The data are dealt with transformation of pixels and judgment of orthogonal projection errors,which makes the curve fitting effect well.The feasibility is verified by fitting of HL240D41_CurveID_42 closed contour efficiency curve.

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What this paper is about

Aiming at the low precision status of characteristic curve of turbine with traditional B-spline fitting,optimal cubic B-spline curve is applied to calculate the characteristic curve of model turbine approximatively.Curve fitting effect is good.The data are dealt with transformation of pixels and judgment of orthogonal projection errors,which makes the curve fitting effect well.The feasibility is verified by fitting of HL240D41_CurveID_42 closed contour efficiency curve.

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Available abstract

Aiming at the low precision status of characteristic curve of turbine with traditional B-spline fitting,optimal cubic B-spline curve is applied to calculate the characteristic curve of model turbine approximatively.Curve fitting effect is good.The data are dealt with transformation of pixels and judgment of orthogonal projection errors,which makes the curve fitting effect well.The feasibility is verified by fitting of HL240D41_CurveID_42 closed contour efficiency curve.

Key concepts: Curve fitting, Mathematics, B-spline, Spline (mechanical), Surface fitting, Tripling-oriented Doche–Icart–Kohel curve, Algorithm, Mathematical analysis

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