Three dimensional surfaces are frequently described by a net of curves lying in orthogonal cutting planes with detail lines. These curves are obtained by digitizing a physical model or a drawing and then fitting a mathematical curve to the digitized data. The technique for obtaining a mathematical curve to the digitized is Cubic spline. This method is referred as curve fairing technique. They are characterized by the fact that the derived mathematical curve passes through each and every data points. Conclusions regarding the cubic splines are made.The cubic spline is a spline constructed of piecewise third-order polynomials which pass through a set of n control points. The second derivative of each polynomial is commonly set to zero at the endpoints, since this provides a boundary condition that completes the system of n-2 equations. This produces a so-called "natural" cubic spline and leads to a simple tridiagonal system which can be solved easily to give the coefficients of the polynomials. However, this choice is not the only one possible and other boundary conditions can be used instead. Cubic splines are implemented in modeling as b-Spline Curve. The cubic spline advantageous since it is the lowest degree curve which allows a point of inflection and which has the ability to twist trough space.
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