What are the guidelines to decide which delta width value to use to give better interpolated results?
Please read the supplementary material to find out how to calculate the optimized delta width for your applications. However, there is one characteristics of our method which should be pointed out. As can be seen in our interpolant, it is basically a ratio of “numerator” over “denominator”, and both are in the form of summation of rational functions. If the position to be interpolated has one coordinate value very close or equal to the same coordinate value of any given input locations and if delta width is a small value, then the interpolated function value will have a direct impact by the given input function value. In other words, for example if the input location (x=a, y=b) for 2D case has the input function value F0, then any interpolated locations within or close to x=a ± or y=b ± (That is, a narrow but long “cross” centered at x=a, y=b in the problem domain.) will yield values strongly influenced by F0 value. In this situation, the user should use a larger delta width va
Related Questions
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