An improved approach to the cubic-spline interpolation

Tsung-Ching Lin; Shao-Hua Hong; Trieu-Kien Truong; Lin Wang

doi:10.1117/12.2026867

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26 September 2013 An improved approach to the cubic-spline interpolation

Tsung-Ching Lin, Shao-Hua Hong, Trieu-Kien Truong, Lin Wang

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Proceedings Volume 8856, Applications of Digital Image Processing XXXVI; 885606 (2013) https://doi.org/10.1117/12.2026867
Event: SPIE Optical Engineering + Applications, 2013, San Diego, California, United States

Abstract

Cubic-spline interpolation (CSI) scheme is known to be designed to resample the discrete image data based on the leastsquares method with the cubic convolution interpolation (CCI) function. It is superior in performance to other interpolation functions for digital image processing. In this paper, an improved CSI scheme that combines the leastsquares method with an eight-point cubic interpolation kernel is developed in order to improve the performance of the original CSI scheme. Either the FFT/Winograd DFT or the fast direct computation algorithm can also be used to perform the circular convolution needed in this improved CSI scheme. Furthermore, its correlated image data and auto-correlated filter coefficients are also accurately calculated in this paper. Experimental results indicate that the proposed improved CSI scheme yields a much better quality of reconstructed image than existing interpolation algorithms.

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Tsung-Ching Lin, Shao-Hua Hong, Trieu-Kien Truong, and Lin Wang "An improved approach to the cubic-spline interpolation", Proc. SPIE 8856, Applications of Digital Image Processing XXXVI, 885606 (26 September 2013); https://doi.org/10.1117/12.2026867

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