Advanced surface fitting techniques

TL;DR: This work forms the B-spline curve fitting problem as a nonlinear least squares problem and concludes that SDM is a quasi-Newton method which employs a curvature-based positive definite approximant to the true Hessian of the objective function.

TL;DR: This paper reviews state-of-the-art CAD methods in 3D garment design and discusses major challenges and solutions that have been addressed over the years and some of the ensuing challenges in3D garment CAD technologies.

TL;DR: The method presented here facilitates this time-consuming task by automatically segmenting a dense mesh into regions closely approximated by single surfaces by automatically estimating the noise and curvature of each vertex.

TL;DR: To help choose a digitization system on the basis of its accuracy and the quality of the distribution of points and triangular meshes, in the field of reverse engineering, five digitization techniques are compared.

TL;DR: Specific issues addressed include characterization of geometric models and related surface representations, segmentation and surface fitting for simple and free-form shapes, multiple view combination and creating consistent and accurate B-rep models.

TL;DR: A method based on graph theory is investigated for creating global parametrizations for surface triangulations for the purpose of smooth surface fitting and a particularparametrization, called shape-preserving, is found to lead to visually smooth surface approximations.

TL;DR: A construction of rational isotropic curves with a prescribed tangent field which leads to the description of all rational minimal surfaces is presented.