simple-homography
Version:
Calculates a homography matrix using exact point correspondences
29 lines (28 loc) • 1.4 kB
JavaScript
;
var __importStar = (this && this.__importStar) || function (mod) {
if (mod && mod.__esModule) return mod;
var result = {};
if (mod != null) for (var k in mod) if (Object.hasOwnProperty.call(mod, k)) result[k] = mod[k];
result["default"] = mod;
return result;
};
Object.defineProperty(exports, "__esModule", { value: true });
var Math = __importStar(require("mathjs"));
//See https://math.stackexchange.com/a/2619023
function calculateHomography(a1, b1, a2, b2, a3, b3, a4, b4) {
var points = Math.matrix([
[-a1[0], -a1[1], -1, 0, 0, 0, a1[0] * b1[0], a1[1] * b1[0], b1[0]],
[0, 0, 0, -a1[0], -a1[1], -1, a1[0] * b1[1], a1[1] * b1[1], b1[1]],
[-a2[0], -a2[1], -1, 0, 0, 0, a2[0] * b2[0], a2[1] * b2[0], b2[0]],
[0, 0, 0, -a2[0], -a2[1], -1, a2[0] * b2[1], a2[1] * b2[1], b2[1]],
[-a3[0], -a3[1], -1, 0, 0, 0, a3[0] * b3[0], a3[1] * b3[0], b3[0]],
[0, 0, 0, -a3[0], -a3[1], -1, a3[0] * b3[1], a3[1] * b3[1], b3[1]],
[-a4[0], -a4[1], -1, 0, 0, 0, a4[0] * b4[0], a4[1] * b4[0], b4[0]],
[0, 0, 0, -a4[0], -a4[1], -1, a4[0] * b4[1], a4[1] * b4[1], b4[1]],
[0, 0, 0, 0, 0, 0, 0, 0, 1]
]);
var pointsInv = Math.inv(points);
var hnum = (Math.multiply(pointsInv, [0, 0, 0, 0, 0, 0, 0, 0, 1]));
return Math.reshape(hnum, [3, 3]);
}
exports.calculateHomography = calculateHomography;