Here’s a reusable function you can use. It includes doctests and data validation: def bilinear_interpolation(x, y, points): ”’Interpolate (x,y) from values associated with four points. The four points are a list of four triplets: (x, y, value). The four points can be in any order. They should form a rectangle. >>> bilinear_interpolation(12, 5.5, … [(10, … Read more
If your number X falls between A and B, and you would like Y to fall between C and D, you can apply the following linear transform: Y = (X-A)/(B-A) * (D-C) + C That should give you what you want, although your question is a little ambiguous, since you could also map the interval … Read more
This is sort of a follow-up to your previous questions about the difference between imresize in MATLAB and cv::resize in OpenCV given a bicubic interpolation. I was interested myself in finding out why there’s a difference. These are my findings (as I understood the algorithms, please correct me if I make any mistakes). Think of … Read more
You’re getting the muddled green because of the way you’re creating your gradient in RBG space. To get a “cleaner” gradient, you can use the HSV model as mentioned in the answer of the question you linked to. RGB gradient (top) vs HSV (bottom) By scaling the H (hue) value between 0 (red) and 120 … Read more
Property binding like [trueValue]=”…” evaluates the expression “…” and assigns the value “true” evaluates to the value true “Y” is unknown. There is no internal Y value in TypeScript and no property in the component class instance, which is the scope of template binding. In this case you would want [trueValue]=”‘Y'” Note the additional quotes … Read more
As Jason C points out in the comments, the version you posted is most likely the best choice, due to its superior precision near the edge cases: float lerp(float a, float b, float f) { return a * (1.0 – f) + (b * f); } If we disregard from precision for a while, we … Read more
for f(x,y) you can use f(x,y)->(a,b) 2D LUT (Look Up Table) But the stored grid points must be selected so dense so that there is max one bump per grid rectangle, otherwise interpolation would not work correctly. If you want to use linear interpolation then the local min/max must be points inside LUT, for polynomial … Read more
This is not supposed to be a solution, but rather an explanation and a possible, although ugly workaround. From time to time there are reports to the gnuplot mailinglists about this issue, but it seems to be related to the viewers. It has to do with the way gnuplot creates the surfaces plots. These are … Read more
First, you ask for linear interpolation but you don’t specify that color B lives on the line between color A and color C; this is necessary. Second, you didn’t specify but I am going to make a simplifying assumption that color B is the midpoint of the line between color A and color C; the … Read more
First of all, let me copy in the stable solution for linear interpolation proposed in my previous answer. ## given (x, y) data, find x where the linear interpolation crosses y = y0 ## the default value y0 = 0 implies root finding ## since linear interpolation is just a linear spline interpolation ## the … Read more