Inthispaper,wearestudingindepthanewcubicHermitetrigonometricsplineinterpolationmethodfor curvesandsurfaceswithshapeparameters.Basedonthismodelofinterpolation,we willgivesomeexamples offree-formcurvesandsurfaces,andanalysetheeffectofdifferent shapeparametersonthecurveandsurfaceshape.We show that for and the obtained cubic Hermite trigonometric curve or surface is C3 continuous. Finally, we will give an example of application, and we will discuss how the adjustment of the shape parametersaffectstheshapeoffreeformsurfaces.
Volume 11 | 02-Special Issue
Pages: 1687-1696