In recent years,a class of generalized Baskakov operators based on q-calculus has been widely studied,which just provides a theoretical basis for constructing new curves.In this paper,q-Baskakov bases function is extracted from q-Baskakov operator defined by Aral and Gupta.Some basic properties and identities of the q-Baskakov bases such as non-negativity,partition of unity,unimodality and so on,are studied.Since there are infinite q-Baskakov bases of fixed degree,in order to avoid that the constructed curve cannot interpolate the end points of its control polygon,the truncated of q-Baskakov curve is given,and proved that the truncated q-Baskakov curve has excellent properties such as geometric invariance,affine invariance and convex hull property.In the aspect of shape control,the ex-ample shows the practical application of q-Baskakov curve in modeling.The shape of polygon can be simulated and controlled well,and the shape parameters can control the shape of curve from the whole,thus further supplementing and perfecting the curve modeling theory.
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