Hello, can i make splines using math equations? I need a wavy spline, like an equation “y = sin x”.
Math modeling spline
To be honest, I'm not sure if a B-spline can exactly reproduce a sine curve. This link describes how to set B-spline control vertices to get a good fit. Unfortunately, 3ds Max does not let you easily define a spline via control vertices.
In the attached file I created a segmented approximate spline (the red line) with a series of vertices that are points on a sine curve at intervals of 1/8 pi. I created the sine-spline Maxscript (see below) from data generated by Excel to make the spline.
I then created a spline with 5 Bezier vertices at intervals of 1/2 pi. The tangent handles of the 5 vertices were adjusted to approximate the spline-data points knowing the the slope of the spline at 0 and 2*pi must be the mirror of the slope at pi.
I think the resulting spline that is defined by 5 points is a pretty good fit. You can copy it and scale it in x or y to fit your needs.
