area
function area(ps: number[][]): number
Defined in global-properties/area.ts:20
Returns the signed area swept out by the radius vector from the origin to
the curve as t goes from 0 to 1, i.e. the curve's contribution to the
closed-loop Green's-theorem integral ½∮(x·dy − y·dx).
Note this value is origin-dependent: it equals the signed area enclosed by
the curve together with the two straight segments joining the origin to its
first and last control points. To obtain the (translation-invariant) area
between the curve and the chord joining its endpoints, add the chord's
contribution, e.g. area(ps) + area([ps[ps.length-1], ps[0]]).
Parameters:
| Name | Type | Description |
|---|---|---|
ps | number[][] | an order 1,2 or 3 bezier curve given as an ordered array of its control point coordinates, e.g. [[0,0], [1,1], [2,1], [2,0]] |