Modeling Pipes Using Pipes' Center Curves of Quadratic and Cubic Spline Interpolation

Pipeline modeling needs considering the length and the shape of pipes. It requires as well the calculation of the used data number and pipes' curvature. This paper aims to model the pipelines of long pieces by using its center curves of quadratic and cubic spline interpolation. Relating to the purpose, we use this method. We evaluate some introduced formulas to defining the quadratic and cubic spline interpolation curves. Then, we present a new technique to formulate the pipes via its center curves. Finally, we offer the procedure to construct the pipe models. As a result, we report that using the quadratic and cubic curves of spline interpolation makes it easy to build the pipeline system frame of many curvatures and multiple tracks. The quadratic spline can produce the curves in fewer oscillations; meanwhile, the cubic spline can generate the curves tighter C-2. In general, the computations arc handy and straightforward to design the pipes.