curviness
function curviness(ps: number[][]): number
Defined in global-properties/curviness.ts:27
Returns a 'curviness' measure of the given bezier curve. 0 is considered
the flattest (as is the case of e.g. a line).
The returned flatness, say f is such that 0 <= f <= (order-1)*𝜋, where
order is the order of the bezier curve (e.g. cubics are of order 3); thus,
for example, cubics can have a maximum value of 2𝜋 for curviness (the most
curvy) and a minimum value of 0 (the flattest)
This function is useful as a heuristic to test the flatness of curves to
see if they should be subdivided (in which case they would become flatter)
- curviness is calculated simply as the sum of the absolute rotation (in radians) of consecutive vectors formed by the ordered control points of the curve
Note!
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Parameters:
| Name | Type | Description |
|---|---|---|
ps | number[][] | an order 0,1,2 or 3 bezier curve given as an array of its control points, e.g. [[1,2],[3,4],[5,6],[7,8]] |