linear-interpolation
Calculate RGB value for a range of values to create heat map
def rgb(minimum, maximum, value): minimum, maximum = float(minimum), float(maximum) ratio = 2 * (value-minimum) / (maximum – minimum) b = int(max(0, 255*(1 – ratio))) r = int(max(0, 255*(ratio – 1))) g = 255 – b – r return r, g, b
Floating point linear interpolation
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
Piecewise linear integer curve interpolation in C#/Unity3D
I would use this interpolation cubic: x=a0+a1*t+a2*t*t+a3*t*t*t y=b0+b1*t+b2*t*t+b3*t*t*t where a0..a3 are computed like this: d1=0.5*(p2.x-p0.x); d2=0.5*(p3.x-p1.x); a0=p1.x; a1=d1; a2=(3.0*(p2.x-p1.x))-(2.0*d1)-d2; a3=d1+d2+(2.0*(-p2.x+p1.x)); b0 .. b3 are computed in same way but use y coordinates of course p0..p3 are control points for cubic interpolation curve t = < 0.0 , 1.0 > is curve parameter from p1 to … Read more
How to implement linear interpolation?
import scipy.interpolate y_interp = scipy.interpolate.interp1d(x, y) print y_interp(5.0) scipy.interpolate.interp1d does linear interpolation by and can be customized to handle error conditions.
How exactly does OpenGL do perspectively correct linear interpolation?
The output of a vertex shader is a four component vector, vec4 gl_Position. From Section 13.6 Coordinate Transformations of core GL 4.4 spec: Clip coordinates for a vertex result from shader execution, which yields a vertex coordinate gl_Position. Perspective division on clip coordinates yields normalized device coordinates, followed by a viewport transformation (see section 13.6.1) … Read more
How can i produce multi point linear interpolation? [closed]
For multi point interpolation there are 3 options: piecewise linear interpolation choose 2 closest points to your known coordinate if you use parameter then select the points containing parameter range and change the parameter range/scale to interpolation range (usually <0,1>) and interpolate as linear interpolation. example of linear DDA on integers and more is in … Read more