A Parametric Bézier and B-Spline Surface Fitting Approach for Reverse Engineering

DOI

10.2991/978-94-6239-750-7_12How to use a DOI?

Keywords

Point clouds; Parametric curves; Surface fitting; B-spline; Reverse engineering

Abstract

The prime importance in digital manufacturing and engineering is reconstructing smooth surfaces from an unstructured point cloud. By using Bézier and B-spline modelling techniques, a methodology is presented in this research work for fitting continuous surfaces from 3D point clouds. The process follows as data preprocessing to improve the credibility of the data, and to obtain a high-quality approximation, parametric surface fitting techniques are employed. The conclusion shows that the B-splines are more efficient in maintaining the structured point sets as well as complex shapes than the Bézier. The comparison is done by two indicators, namely mean square error (MSE) and root mean square error (RMSE).

Copyright

© 2026 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Download article (PDF)

TY  - CONF
AU  - Deep Chandra Chaurasiya
AU  - Ram Bilas Prasad
PY  - 2026
DA  - 2026/08/31
TI  - A Parametric Bézier and B-Spline Surface Fitting Approach for Reverse Engineering
BT  - Proceedings of the International Conference on Advanced Design, Manufacturing, and Sustainable Energy Systems (ICADMSES 2026)
PB  - Atlantis Press
SP  - 163
EP  - 173
SN  - 2589-4943
UR  - https://doi.org/10.2991/978-94-6239-750-7_12
DO  - 10.2991/978-94-6239-750-7_12
ID  - Chaurasiya2026
ER  -