The Studying Of Spline Curves And Surfaces With Multiple Shape Parameters And Their Using

The parameter curves and surfaces modeling are used very widely in CAGD.In this paper,we profoundly research spline curves and surfaces with servial shape parameters.We provide serival kinds of curves and surfaces with multiple shape parameters and introduce their using in interpolation.Firstly,we review the development history of parameter curves and surfaces and introduce briefly the studied results of the curves and surfaces with shape parameters.Secondly,we profoundly research spline curves and surfaces with serival shape parameters.The main contributions are listed as follows:(1) Uniform B-spline curves and surfaces with servial shape parameters.(2) Extension of uniform CB-spline curves and surfaces.(3) Extension of C-Bezier spline curves and surfaces.(4) The second CB-spline curves.(5) Cubic uniform trigonometric spline curves with three shape parameter.(6) The using of spline curves with servial shape parameter. Finally,we conclude the thesis and mention the future work.