123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383 |
- import AxisAlignedBoundingBox from "./AxisAlignedBoundingBox.js";
- import Cartesian2 from "./Cartesian2.js";
- import Cartesian3 from "./Cartesian3.js";
- import Cartesian4 from "./Cartesian4.js";
- import Check from "./Check.js";
- import defaultValue from "./defaultValue.js";
- import defined from "./defined.js";
- import DeveloperError from "./DeveloperError.js";
- import Ellipsoid from "./Ellipsoid.js";
- import IntersectionTests from "./IntersectionTests.js";
- import Matrix4 from "./Matrix4.js";
- import Plane from "./Plane.js";
- import Ray from "./Ray.js";
- import Transforms from "./Transforms.js";
- const scratchCart4 = new Cartesian4();
- /**
- * A plane tangent to the provided ellipsoid at the provided origin.
- * If origin is not on the surface of the ellipsoid, it's surface projection will be used.
- * If origin is at the center of the ellipsoid, an exception will be thrown.
- * @alias EllipsoidTangentPlane
- * @constructor
- *
- * @param {Cartesian3} origin The point on the surface of the ellipsoid where the tangent plane touches.
- * @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid to use.
- *
- * @exception {DeveloperError} origin must not be at the center of the ellipsoid.
- */
- function EllipsoidTangentPlane(origin, ellipsoid) {
- //>>includeStart('debug', pragmas.debug);
- Check.defined("origin", origin);
- //>>includeEnd('debug');
- ellipsoid = defaultValue(ellipsoid, Ellipsoid.WGS84);
- origin = ellipsoid.scaleToGeodeticSurface(origin);
- //>>includeStart('debug', pragmas.debug);
- if (!defined(origin)) {
- throw new DeveloperError(
- "origin must not be at the center of the ellipsoid."
- );
- }
- //>>includeEnd('debug');
- const eastNorthUp = Transforms.eastNorthUpToFixedFrame(origin, ellipsoid);
- this._ellipsoid = ellipsoid;
- this._origin = origin;
- this._xAxis = Cartesian3.fromCartesian4(
- Matrix4.getColumn(eastNorthUp, 0, scratchCart4)
- );
- this._yAxis = Cartesian3.fromCartesian4(
- Matrix4.getColumn(eastNorthUp, 1, scratchCart4)
- );
- const normal = Cartesian3.fromCartesian4(
- Matrix4.getColumn(eastNorthUp, 2, scratchCart4)
- );
- this._plane = Plane.fromPointNormal(origin, normal);
- }
- Object.defineProperties(EllipsoidTangentPlane.prototype, {
- /**
- * Gets the ellipsoid.
- * @memberof EllipsoidTangentPlane.prototype
- * @type {Ellipsoid}
- */
- ellipsoid: {
- get: function () {
- return this._ellipsoid;
- },
- },
- /**
- * Gets the origin.
- * @memberof EllipsoidTangentPlane.prototype
- * @type {Cartesian3}
- */
- origin: {
- get: function () {
- return this._origin;
- },
- },
- /**
- * Gets the plane which is tangent to the ellipsoid.
- * @memberof EllipsoidTangentPlane.prototype
- * @readonly
- * @type {Plane}
- */
- plane: {
- get: function () {
- return this._plane;
- },
- },
- /**
- * Gets the local X-axis (east) of the tangent plane.
- * @memberof EllipsoidTangentPlane.prototype
- * @readonly
- * @type {Cartesian3}
- */
- xAxis: {
- get: function () {
- return this._xAxis;
- },
- },
- /**
- * Gets the local Y-axis (north) of the tangent plane.
- * @memberof EllipsoidTangentPlane.prototype
- * @readonly
- * @type {Cartesian3}
- */
- yAxis: {
- get: function () {
- return this._yAxis;
- },
- },
- /**
- * Gets the local Z-axis (up) of the tangent plane.
- * @memberof EllipsoidTangentPlane.prototype
- * @readonly
- * @type {Cartesian3}
- */
- zAxis: {
- get: function () {
- return this._plane.normal;
- },
- },
- });
- const tmp = new AxisAlignedBoundingBox();
- /**
- * Creates a new instance from the provided ellipsoid and the center
- * point of the provided Cartesians.
- *
- * @param {Cartesian3[]} cartesians The list of positions surrounding the center point.
- * @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid to use.
- * @returns {EllipsoidTangentPlane} The new instance of EllipsoidTangentPlane.
- */
- EllipsoidTangentPlane.fromPoints = function (cartesians, ellipsoid) {
- //>>includeStart('debug', pragmas.debug);
- Check.defined("cartesians", cartesians);
- //>>includeEnd('debug');
- const box = AxisAlignedBoundingBox.fromPoints(cartesians, tmp);
- return new EllipsoidTangentPlane(box.center, ellipsoid);
- };
- const scratchProjectPointOntoPlaneRay = new Ray();
- const scratchProjectPointOntoPlaneCartesian3 = new Cartesian3();
- /**
- * Computes the projection of the provided 3D position onto the 2D plane, radially outward from the {@link EllipsoidTangentPlane.ellipsoid} coordinate system origin.
- *
- * @param {Cartesian3} cartesian The point to project.
- * @param {Cartesian2} [result] The object onto which to store the result.
- * @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if none was provided. Undefined if there is no intersection point
- */
- EllipsoidTangentPlane.prototype.projectPointOntoPlane = function (
- cartesian,
- result
- ) {
- //>>includeStart('debug', pragmas.debug);
- Check.defined("cartesian", cartesian);
- //>>includeEnd('debug');
- const ray = scratchProjectPointOntoPlaneRay;
- ray.origin = cartesian;
- Cartesian3.normalize(cartesian, ray.direction);
- let intersectionPoint = IntersectionTests.rayPlane(
- ray,
- this._plane,
- scratchProjectPointOntoPlaneCartesian3
- );
- if (!defined(intersectionPoint)) {
- Cartesian3.negate(ray.direction, ray.direction);
- intersectionPoint = IntersectionTests.rayPlane(
- ray,
- this._plane,
- scratchProjectPointOntoPlaneCartesian3
- );
- }
- if (defined(intersectionPoint)) {
- const v = Cartesian3.subtract(
- intersectionPoint,
- this._origin,
- intersectionPoint
- );
- const x = Cartesian3.dot(this._xAxis, v);
- const y = Cartesian3.dot(this._yAxis, v);
- if (!defined(result)) {
- return new Cartesian2(x, y);
- }
- result.x = x;
- result.y = y;
- return result;
- }
- return undefined;
- };
- /**
- * Computes the projection of the provided 3D positions onto the 2D plane (where possible), radially outward from the global origin.
- * The resulting array may be shorter than the input array - if a single projection is impossible it will not be included.
- *
- * @see EllipsoidTangentPlane.projectPointOntoPlane
- *
- * @param {Cartesian3[]} cartesians The array of points to project.
- * @param {Cartesian2[]} [result] The array of Cartesian2 instances onto which to store results.
- * @returns {Cartesian2[]} The modified result parameter or a new array of Cartesian2 instances if none was provided.
- */
- EllipsoidTangentPlane.prototype.projectPointsOntoPlane = function (
- cartesians,
- result
- ) {
- //>>includeStart('debug', pragmas.debug);
- Check.defined("cartesians", cartesians);
- //>>includeEnd('debug');
- if (!defined(result)) {
- result = [];
- }
- let count = 0;
- const length = cartesians.length;
- for (let i = 0; i < length; i++) {
- const p = this.projectPointOntoPlane(cartesians[i], result[count]);
- if (defined(p)) {
- result[count] = p;
- count++;
- }
- }
- result.length = count;
- return result;
- };
- /**
- * Computes the projection of the provided 3D position onto the 2D plane, along the plane normal.
- *
- * @param {Cartesian3} cartesian The point to project.
- * @param {Cartesian2} [result] The object onto which to store the result.
- * @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if none was provided.
- */
- EllipsoidTangentPlane.prototype.projectPointToNearestOnPlane = function (
- cartesian,
- result
- ) {
- //>>includeStart('debug', pragmas.debug);
- Check.defined("cartesian", cartesian);
- //>>includeEnd('debug');
- if (!defined(result)) {
- result = new Cartesian2();
- }
- const ray = scratchProjectPointOntoPlaneRay;
- ray.origin = cartesian;
- Cartesian3.clone(this._plane.normal, ray.direction);
- let intersectionPoint = IntersectionTests.rayPlane(
- ray,
- this._plane,
- scratchProjectPointOntoPlaneCartesian3
- );
- if (!defined(intersectionPoint)) {
- Cartesian3.negate(ray.direction, ray.direction);
- intersectionPoint = IntersectionTests.rayPlane(
- ray,
- this._plane,
- scratchProjectPointOntoPlaneCartesian3
- );
- }
- const v = Cartesian3.subtract(
- intersectionPoint,
- this._origin,
- intersectionPoint
- );
- const x = Cartesian3.dot(this._xAxis, v);
- const y = Cartesian3.dot(this._yAxis, v);
- result.x = x;
- result.y = y;
- return result;
- };
- /**
- * Computes the projection of the provided 3D positions onto the 2D plane, along the plane normal.
- *
- * @see EllipsoidTangentPlane.projectPointToNearestOnPlane
- *
- * @param {Cartesian3[]} cartesians The array of points to project.
- * @param {Cartesian2[]} [result] The array of Cartesian2 instances onto which to store results.
- * @returns {Cartesian2[]} The modified result parameter or a new array of Cartesian2 instances if none was provided. This will have the same length as <code>cartesians</code>.
- */
- EllipsoidTangentPlane.prototype.projectPointsToNearestOnPlane = function (
- cartesians,
- result
- ) {
- //>>includeStart('debug', pragmas.debug);
- Check.defined("cartesians", cartesians);
- //>>includeEnd('debug');
- if (!defined(result)) {
- result = [];
- }
- const length = cartesians.length;
- result.length = length;
- for (let i = 0; i < length; i++) {
- result[i] = this.projectPointToNearestOnPlane(cartesians[i], result[i]);
- }
- return result;
- };
- const projectPointsOntoEllipsoidScratch = new Cartesian3();
- /**
- * Computes the projection of the provided 2D position onto the 3D ellipsoid.
- *
- * @param {Cartesian2} cartesian The points to project.
- * @param {Cartesian3} [result] The Cartesian3 instance to store result.
- * @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if none was provided.
- */
- EllipsoidTangentPlane.prototype.projectPointOntoEllipsoid = function (
- cartesian,
- result
- ) {
- //>>includeStart('debug', pragmas.debug);
- Check.defined("cartesian", cartesian);
- //>>includeEnd('debug');
- if (!defined(result)) {
- result = new Cartesian3();
- }
- const ellipsoid = this._ellipsoid;
- const origin = this._origin;
- const xAxis = this._xAxis;
- const yAxis = this._yAxis;
- const tmp = projectPointsOntoEllipsoidScratch;
- Cartesian3.multiplyByScalar(xAxis, cartesian.x, tmp);
- result = Cartesian3.add(origin, tmp, result);
- Cartesian3.multiplyByScalar(yAxis, cartesian.y, tmp);
- Cartesian3.add(result, tmp, result);
- ellipsoid.scaleToGeocentricSurface(result, result);
- return result;
- };
- /**
- * Computes the projection of the provided 2D positions onto the 3D ellipsoid.
- *
- * @param {Cartesian2[]} cartesians The array of points to project.
- * @param {Cartesian3[]} [result] The array of Cartesian3 instances onto which to store results.
- * @returns {Cartesian3[]} The modified result parameter or a new array of Cartesian3 instances if none was provided.
- */
- EllipsoidTangentPlane.prototype.projectPointsOntoEllipsoid = function (
- cartesians,
- result
- ) {
- //>>includeStart('debug', pragmas.debug);
- Check.defined("cartesians", cartesians);
- //>>includeEnd('debug');
- const length = cartesians.length;
- if (!defined(result)) {
- result = new Array(length);
- } else {
- result.length = length;
- }
- for (let i = 0; i < length; ++i) {
- result[i] = this.projectPointOntoEllipsoid(cartesians[i], result[i]);
- }
- return result;
- };
- export default EllipsoidTangentPlane;
|