C~2-(C~3 -) Continuous Interpolation Spline Curve and surface

摘要

Free-formed or sculptured surfaces in engineering products are frequently constructed from a set of measured 3D data points. C~2 -(C~3 -) continuity approach is important in this field. This paper presents a method of rectangular interpolation of given 3D data array which is regularly arranged. The interpolation surface which is constructed by tensor product has desirable properties(second-order or third-order continuity, local- ity) and is implemented and adjusted easily higher order continuity methods are also briefly discussed.