Speed of scrolling on a biquadratic Bezier curve

I recently came across a fascinating website called that showcases a unique scrolling behavior. It gives the illusion of moving between slides (screens) with snappy scrolling, when in reality, the website actually scrolls continuously. The transitions between slides are achieved using CSS 3D-transforms manipulated at varying speeds based on a bicubic Bezier curve (I examined their minified code).

https://i.sstatic.net/dY8r3.png

Although I don't consider myself proficient in math or working with Bezier curves, I am struggling to replicate this effect. If anyone has insight or guidance on how to implement this, I would greatly appreciate it. Thank you.

javascriptmathscrollmagic

Answer №1

It seems like you could benefit from using an approximation curve. Let's create a set of curves for each page (screen).

The given parameters are: ScreenSize, MaxSpeed at times h = 0 and h = ScreenSize, as well as the MinSpeed at time h = ScreenSize/2

We will construct two symmetrical Bezier curves.
Control points:

first curve
P[0]  = (0, MaxSpeed)
P[1]  = (A, MaxSpeed)
P[2]  = (ScreenSize/2 - 3 * A, MinSpeed)
P[3]  = (ScreenSize/2, MinSpeed)
second curve
P[0]  = (ScreenSize/2, MinSpeed)
P[1]  = (ScreenSize/2 + 3 * A, MinSpeed)
P[2]  = (ScreenSize - A, MaxSpeed)
P[3]  = (ScreenSize, MaxSpeed)

Experiment with the parameter A (approximately ScreenSize/10) and the coefficient 3 to achieve your desired shape.

The curves for subsequent screens are offset by ScreenSize, 2*ScreenSize, and so on.

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