curvature

function curvature(ps: number[][]): (t: number) => number
function curvature(ps: number[][], t: number): number

Defined in local-properties-at-t/curvature/curvature.ts:23

Returns the curvature κ of the given linear, quadratic or cubic bezier curve at a specific given parameter value t.

• returns Number.NaN at a cusp - this can be tested for with Number.isNaN
• curried: if t is omitted a function of t is returned instead (the power basis conversion is then only done once which is much faster if the curvature is to be evaluated at many t values for the same curve)

Note!

Green circles are draggable!

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t

Parameters:

Name	Type	Description
ps	number[][]	an order 1,2 or 3 bezier curve, e.g. [[0,0],[1,1],[2,1],[2,0]]
t?	number	the parameter value where the curvature should be evaluated (may be omitted, see above)

---

function κ(ps: number[][]): (t: number) => number
function κ(ps: number[][], t: number): number

Defined in local-properties-at-t/curvature/curvature.ts:46

Alias for curvature.

Returns the curvature κ of the given linear, quadratic or cubic bezier curve at a specific given parameter value t.

• alias: curvature

Parameters:

Name	Type	Description
ps	number[][]	an order 1, 2 or 3 bezier curve, e.g. [[0,0],[1,1],[2,1],[2,0]]
t?	number	the parameter value where the curvature should be evaluated

---

function radiusOfCurvature(ps: number[][]): (t: number) => number
function radiusOfCurvature(ps: number[][], t: number): number

Defined in local-properties-at-t/curvature/curvature.ts:60

Returns the radius of curvature of the given linear, quadratic or cubic bezier curve at a specific given parameter value t.

• curried: if t is omitted a function of t is returned instead (see curvature)

Parameters:

Name	Type	Description
ps	number[][]	an order 1,2 or 3 bezier curve, e.g. [[0,0],[1,1],[2,1],[2,0]]
t?	number	the parameter value where the radius of curvature should be evaluated (may be omitted, see above)

---

function curvatureND(ps: number[][]): (t: number) => [number,number]
function curvatureND(ps: number[][], t: number): [number,number]

Defined in local-properties-at-t/curvature/curvature.ts:81

Returns the numerator and denominator of curvature [N,D], i.e. κ = N/D of the given linear, quadratic or cubic bezier curve at a specific given parameter value t.

• curried: if t is omitted a function of t is returned instead (see curvature)

Parameters:

Name	Type	Description
ps	number[][]	an order 1,2 or 3 bezier curve, e.g. [[0,0],[1,1],[2,1],[2,0]]
t?	number	the parameter value (may be omitted, see above)