vix.ing · top · new · best · stats · spec

Deep Learning Parametrization for B-Spline Curve Approximation

2018/07/22 by Pascal Laube, Laube, Pascal, Matthias Franz +3
Engineering · #Advanced Numerical Analysis Techniques #Computational Geometry (cs.CG) #FOS: Computer and information sciences #Graphics (cs.GR)

paper · pdf · doi:10.48550/arxiv.1807.08304

openalex publication_date 2018/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we present a method using deep learning to compute parametrizations for B-spline curve approximation. Existing methods consider the computation of parametric values and a knot vector as separate problems. We propose to train interdependent deep neural networks to predict parametric values and knots. We show that it is possible to include B-spline curve approximation directly into the neural network architecture. The resulting parametrizations yield tight approximations and are able to outperform state-of-the-art methods.

Citations

Related