Cubic spline is used for interpolation and smoothing the image data .

Wavelet for similar functions with time-frequency atom processing e.g Zak transform

http://mathworld.wolfram.com/ZakTransform.html

Some use it in compression, again depends it should be computationally exhaustive

Cubic spline is used for interpolation and smoothing the image data .

Wavelet for similar functions with time-frequency atom processing e.g Zak transform

http://mathworld.wolfram.com/ZakTransform.html

Some use it in compression, again depends it should be computationally exhaustive

They are powerful methods to extract shapes from images

I would like to say that tensor B-spline methods can provide efficient solutions of PDEs. This recent preprint describes an application of splines and tensors from a signal processing viewpoint and presents high-performance matrix-free algorithms

https://arxiv.org/pdf/1904.03057.pdf