Fundamentals of Computer Aided Geometric Design

TL;DR: In this article, a blading design optimization system using an aeromechanical approach and harmonic perturbation method is developed using an Aerodynamic mode shape to reduce the number of design parameters while preserving surface smoothness.

TL;DR: A new method is presented for the construction of shape-preserving curves approximating a given set of 3D data, based on the space of “quintic like” polynomial splines with variable degrees recently introduced in [7].

TL;DR: In this paper, the authors describe the process of constructing a fair, open or closed C1 surface over a given irregular curve mesh, where the fair surface is built up either in a single global step or iteratively in a three stage local process, successively accounting for vertex, edge curve and patch interior continuity and fairness requirements.

TL;DR: An algorithm to compute a certified approximation to a given parametric space curve with cubic B-spline curves and a novel optimization method is proposed to select proper weights in the cubic rational Bezier curve to approximate the given curve.