I am wondering if there are any applications for higher-order Lagrange
approximating polynomials in digital signal processing or image
re-sampling. I know that Lagrange multipliers are used to some extent
in the construction of FIR filters, and are also used in bicubic
interpolation. However, is there an application involving higher order
Does anyone know of a good reference book dealing with bicubic and/or
higher order Lagrange? Does using higher order improve the accuracy
with 2D, or do I still have to deal with the Runge phenomenon?