cubic-hermite
npm i cubic-hermite

# cubic-hermite

## Cubic hermite interpolation

### by Mikola Lysenko

npm i cubic-hermite

# cubic-hermite

Cubic hermite spline for interpolating position/velocity pairs. Simplest quick and dirty way to get a smooth path between points

## Install

``````npm install cubic-hermite
``````

## Example

``````var hermite = require("cubic-hermite")

//Compute intial position and velocity
var initial_position = [0, 1]
, initial_velocity = [1, 0]
, final_positions  = [1, 0]
, final_velocity   = [0, 1]

//Plot curve
for(var t=0.0; t<1.0; t+=0.1) {
console.log(hermite(initial_position, initial_velocity, final_position, final_velocity, t))
}
``````

## API

### `require("cubic-hermite")(p0, v0, p1, v1, t[, result])`

Computes an interpolated position between initial and final configurations at time t. Arguments can be either scalars or arrays

• `p0` is the initial position
• `v0` is the initial velocity
• `p1` is the final position
• `v1` is the final velocity
• `t` is the point on the curve to interpolate to in the range [0,1]
• `result` is a vector that gets the result of the interpolation (if not specified, a new vector is created)

Returns The interpolated point on the curve

### `require("cubic-hermite").derivative(p0, v0, p1, v1, t[, result])`

Returns the velocity along the curve at a point t

• `p0` is the initial position
• `v0` initial velocity
• `p1` final position
• `v1` final velocity
• `t` point on the curve to interpolate to, in the range [0,1]
• `result` stores the result of the interpolation. (if not specified, is reallocated)

Returns The interpolated velocity at the time `t`

## Credits

(c) 2013 Mikola Lysenko. MIT License

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