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Approximating data points in three or higher dimension space based on cubicB-spline curve is presented. Representations for planar curves, are merged andextended to the higher dimension. The curve is fitted to the order of datapoints, or uniform parameter values are assumed for the points. Tangents areassumed at the data points, corresponding to the property used in cardinalsplines, for shape preserving and visually pleasing fit. Control points ofpiecewise continuous cubic bezier curves, meeting the boundary conditions ofcardinal spline segments, are used for b-spline curve in correspondingcoordinate planes. Approximation using error computed in the least squaresense, based on a fraction of data points, is also presented.

An error reduced and uniform parameter approximation in fitting of B-spline curves to data points