A plane in Hessian Normal Form defined by
ax + by + cz + d = 0where (a, b, c) is the plane's
normal
, d is the signed
distance
to the plane, and (x, y, z) is any point on
the plane.
Name | Type | Description |
---|---|---|
normal |
Cartesian3 | The plane's normal (normalized). |
distance |
Number |
The shortest distance from the origin to the plane. The sign of
distance determines which side of the plane the origin
is on. If distance is positive, the origin is in the half-space
in the direction of the normal; if negative, the origin is in the half-space
opposite to the normal; if zero, the plane passes through the origin. |
Throws:
-
DeveloperError : Normal must be normalized
Example:
// The plane x=0
var plane = new Cesium.Plane(Cesium.Cartesian3.UNIT_X, 0.0);
Members
-
staticconstantCesium.Plane.ORIGIN_XY_PLANE : Plane
-
A constant initialized to the XY plane passing through the origin, with normal in positive Z.
-
staticconstantCesium.Plane.ORIGIN_YZ_PLANE : Plane
-
A constant initialized to the YZ plane passing through the origin, with normal in positive X.
-
staticconstantCesium.Plane.ORIGIN_ZX_PLANE : Plane
-
A constant initialized to the ZX plane passing through the origin, with normal in positive Y.
-
The shortest distance from the origin to the plane. The sign of
distance
determines which side of the plane the origin is on. Ifdistance
is positive, the origin is in the half-space in the direction of the normal; if negative, the origin is in the half-space opposite to the normal; if zero, the plane passes through the origin. -
normal : Cartesian3
-
The plane's normal.
Methods
-
staticCesium.Plane.clone(plane, result) → Plane
-
Duplicates a Plane instance.
Name Type Description plane
Plane The plane to duplicate. result
Plane optional The object onto which to store the result. Returns:
The modified result parameter or a new Plane instance if one was not provided. -
Compares the provided Planes by normal and distance and returns
true
if they are equal,false
otherwise.Name Type Description left
Plane The first plane. right
Plane The second plane. Returns:
true
if left and right are equal,false
otherwise. -
staticCesium.Plane.fromCartesian4(coefficients, result) → Plane
-
Creates a plane from the general equation
Name Type Description coefficients
Cartesian4 The plane's normal (normalized). result
Plane optional The object onto which to store the result. Returns:
A new plane instance or the modified result parameter.Throws:
-
DeveloperError : Normal must be normalized
-
-
staticCesium.Plane.fromPointNormal(point, normal, result) → Plane
-
Creates a plane from a normal and a point on the plane.
Name Type Description point
Cartesian3 The point on the plane. normal
Cartesian3 The plane's normal (normalized). result
Plane optional The object onto which to store the result. Returns:
A new plane instance or the modified result parameter.Throws:
-
DeveloperError : Normal must be normalized
Example:
var point = Cesium.Cartesian3.fromDegrees(-72.0, 40.0); var normal = ellipsoid.geodeticSurfaceNormal(point); var tangentPlane = Cesium.Plane.fromPointNormal(point, normal);
-
-
Computes the signed shortest distance of a point to a plane. The sign of the distance determines which side of the plane the point is on. If the distance is positive, the point is in the half-space in the direction of the normal; if negative, the point is in the half-space opposite to the normal; if zero, the plane passes through the point.
Name Type Description plane
Plane The plane. point
Cartesian3 The point. Returns:
The signed shortest distance of the point to the plane. -
staticCesium.Plane.projectPointOntoPlane(plane, point, result) → Cartesian3
-
Projects a point onto the plane.
Name Type Description plane
Plane The plane to project the point onto point
Cartesian3 The point to project onto the plane result
Cartesian3 optional The result point. If undefined, a new Cartesian3 will be created. Returns:
The modified result parameter or a new Cartesian3 instance if one was not provided. -
staticCesium.Plane.transform(plane, transform, result) → Plane
-
Transforms the plane by the given transformation matrix.
Name Type Description plane
Plane The plane. transform
Matrix4 The transformation matrix. result
Plane optional The object into which to store the result. Returns:
The plane transformed by the given transformation matrix.