Chen, JLi, QChen, JYan, Wei Qi2025-12-022025-12-022025-11-20Chen, J., Li, Q., Chen, J., & Yan, W. Q. (2025). An alternative cardinal spline for cubic B-spline interpolation. In 2024 40th International Conference on Image and Vision Computing New Zealand (IVCNZ). IEEE. https://doi.org/10.1109/IVCNZ63833.2024.11281851http://hdl.handle.net/10292/20252This paper aims at introducing a special cubic cardinal spline from the GMK-splines, which is able to obtain almost the same interpolation results of the cubic B-spline, but without solving the system of equations for getting control vertices, and exploring its applications in geometric modeling and image processing. The spline involved can be obtained by using a linear combination of several shifted B-splines of the same degree. The spatial and frequency domain comparison demonstrates its superior local support and frequency domain performance. In addition, a number of examples are involved in geometric modeling and digital image processing, compared with a few conventional methods. As shown in this paper, the cubic cardinal spline is an alternative choice instead of the cubic B-spline in the interpolation procedure in order to avoid solving the system of equations over and over again.Copyright © 2025 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Conference ContributionOpenAccess10.1109/IVCNZ67716.2025.11281851