Ellipsoid

Usage

Check if point (3D) is inside the ellipsoid - which is repositioned (translated) by its center, and rotated by roll,pitch,yaw angles.

obj = PointInOrientedEllipsoid(center, point, A, B, C, roll, pitch, yaw)

• param center {Vector3D}

  default value: new Vector3D(0, 0, 0)

• param point {Point3D}

  default value: new Point3D(0, 0, 0)

• param A {Number} axis length

  default value: 0

• param B {Number} axis length

  default value: 0

• param C {Number} axis length

  default value: 0

• roll (in degress)

  default value: 0

• pitch (in degrees)

  default value: 0

• yaw (in degrees)

  default value: 0

return {Object}

• center: {Point3D} the center of the ellipsoid

• point: {Point3D} the point checked if it is inside the ellipsoid

• polar: {Object} the point's polar coordinates

  • distance: the distance between center and point

  • phi: degrees in range [-180..180]

  • theta: degrees in range [-90..90]

• result: {Number} if this value >= 1, the point is not inside the ellipsoid

• inside: {Boolean}

• rMatrix: {Matrix3D} rotation matrix, just for debug

• R: {Matrix3D} rotation matrix, just for debug

Example

let obj = PointInOrientedEllipsoid(new Vector3D(10,-20,30), new Point(9,-19,29), 9, 3, 3, 0, 0, 0);

console.log(obj);  // we expect the following result:
                   // {
                   //     bool: true,
                   //     center: { x: 10, y: -20, z: 30 },
                   //     point: { x: 9, y: -19, z: 29 },
                   //     polar: {
                   //         distance: 35.81898937714463,
                   //         phi: -32.03551940773309, 
                   //         theta: 72.75854060106003 
                   //     },
                   //     result: 0.2345679012345679,
                   //     inside: true,
                   //     rMatrix: {Object: Matrix3D},
                   //     R: {Object: Matrix3D}
                   // }