Math behind Style Spline in Solidworks
Whether occurring in nature or in the mind of a designer, curves and surfaces that are pleasing to the eye are not necessarily easy to express mathematically. In Solidworks 2014, Solidworks introduced a new entity called Style Spline . I would like to share about mathematical concepts in style spline. Style spline is something differs from spline which we are using currently, Because Spline curve is a piecewise cubic curve , made of pieces of different cubic curves glued together. Style spline is a Bezier curve . A Bezier curve is one of the parametric curve frequently used in computer graphics and related fields. But Bezier curves differ from other types of parametric curves by the type of basis polynomials used to form them The study of these curves was however first developed in 1959 by mathematician Paul de Casteljau using de Casteljau algorithm at Citroën. The idea of this algorithm is plotting the curve through repeate...