Interpolations
Here are all the interpolation functions included in Chelsea.js
Interpolation is a type of estimation, a method of constructing new data points based on the range of a discrete set of known data points.
In all the interpolation functions we use here, we provide a starting point, an ending point and estimate a number between them.
Linear Interpolation
Linear interpolation is the simplest method of getting values at positions in between the data points. The points are simply joined by straight line segments.
lerp(start, end, amt)
Parameters
| start | Number : The starting point of the interpolation |
| end | Number : The ending point of the interpolation |
| amt | Number : The point at which the interpolation is t be calculated. 0 is start point, 1 is end point. |
Examples
for(i=0; i<WIDTH; i+=10){
y=lerp(0,WIDTH,i/WIDTH);
new point(i,HEIGHT-y,'#695fe6',4);
}
Cosine Interpolation
Cosine Interpolation is almost like Linear Interpolation, but instead of joining the points by straight lines, it joins them by a modified cosine curve.
cosrp(start, end, amt);
Parameters
| start | Number : The starting point of the interpolation |
| end | Number : The ending point of the interpolation |
| amt | Number : The point at which the interpolation is t be calculated. 0 is start point, 1 is end point. |
Examples
for(i=0; i<WIDTH; i+=10){
y=cosrp(0,HEIGHT,i/WIDTH);
new point(i,HEIGHT-y,'#695fe6',4);
}
Smoothstep Interpolation
Smoothstep Interpolation is a sigmoid-like interpolation function. It is used to smooth the transition between two values. It uses Hermite polynomials to calculate the interpolation.
smoothstep(start, end, amt);
Parameters
| start | Number : The starting point of the interpolation |
| end | Number : The ending point of the interpolation |
| amt | Number : The point at which the interpolation is t be calculated. 0 is start point, 1 is end point. |
Examples
for(i=0; i<WIDTH; i+=10){
ic=clamp(i,0,1);
y=smoothstep(0,WIDTH,i);
new point(i,HEIGHT-HEIGHT*y,'#695fe6',4);
}
Smootherstep Interpolation
Its understandable from the name, Its same as Smoothstep Interpolation, but it uses a different Hermite polynomial that is apparently smoother.
smootherstep(start, end, amt);
Parameters
| start | Number : The starting point of the interpolation |
| end | Number : The ending point of the interpolation |
| amt | Number : The point at which the interpolation is t be calculated. 0 is start point, 1 is end point. |
Examples
for(i=0; i<WIDTH; i+=10){
ic=clamp(i,0,1);
y=smootherstep(0,WIDTH,i);
new point(i,HEIGHT-HEIGHT*y,'#695fe6',4);
}