Chaotic B-Spline Curve and Surface Encryption

Encrypt B-Spline Curves and Surfaces using chaotic systems

The code implements the B-Spline curve and surface encryption method proposed in the following work:

Moysis, L., Lawnik, M., Antoniades, I. P., Kafetzis, I., Baptista, M. S., & Volos, C. (2023). Chaotification of 1D maps by multiple remainder operator additions—application to B-spline curve encryption. Symmetry, 15(3), 726.

https://www.mdpi.com/2073-8994/15/3/726

Please cite this work if you use the code below.

The code is broken in sections. Run each section separately using ctr+enter, or by clicking the 'run section' button.

Details about the encryption process are provided in the paper.

The teapot data are available from the following link: https://people.sc.fsu.edu/~jburkardt/data/bezier_surface/bezier_surface.html

Please also cite the link above if you intend to use the data.

The codes for generating the B-spline curves and surfaces are taken from this work: https://www.researchgate.net/publication/329337381_Introduction_to_Computer_Aided_Geometric_Design_-_A_student's_companion_with_Matlab_examples_2nd_Edition

Lazaros Moysis

Youtube channel: https://www.youtube.com/@lazaros_moysis

RG: https://www.researchgate.net/profile/Lazaros-Moysis