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| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 | import type { Types } from '@cornerstonejs/core';
/**
* Generates an affine matrix from the provided origin, orientation and spacing.
*
* @param origin - The origin of the matrix in world coordinates
* @param orientation - The orientation of the matrix. It's a 9-element array representing
* a 3x3 matrix in row-major order.
* @param spacing - image spacing along each axis
*
* @returns The generated affine matrix, a 4x4 array in row-major order.
*/
function generateAffineMatrix(
origin: Types.Point3,
orientation: Types.Mat3,
spacing: Types.Point3
): Types.AffineMatrix {
const Ox = origin[0];
const Oy = origin[1];
const Oz = origin[2];
const S1 = spacing[0];
const S2 = spacing[1];
const S3 = spacing[2];
const D11 = orientation[0];
const D12 = orientation[1];
const D13 = orientation[2];
const D21 = orientation[3];
const D22 = orientation[4];
const D23 = orientation[5];
const D31 = orientation[6];
const D32 = orientation[7];
const D33 = orientation[8];
return [
[D11 * S1, D12 * S2, D13 * S3, Ox],
[D21 * S1, D22 * S2, D23 * S3, Oy],
[D31 * S1, D32 * S2, D33 * S3, Oz],
[0, 0, 0, 1],
];
}
/**
* Parses an affine matrix into its origin, orientation, and spacing components.
*
* @param affine - The input 4x4 affine matrix to be parsed, in row-major order.
*
* @returns An object with properties 'origin', 'orientation', and 'spacing'. 'origin' is a 3D point representing the origin of the affine matrix. 'orientation' is a 9-element array representing a 3x3 matrix in row-major order. 'spacing' is a 3-element array representing the spacing of the affine matrix in each dimension.
*/
function parseAffineMatrix(affine): {
origin: Types.Point3;
orientation: Types.Mat3;
spacing: Types.Point3;
} {
const origin = [affine[0][3], affine[1][3], affine[2][3]] as Types.Point3;
const spacing = [
Math.sqrt(affine[0][0] ** 2 + affine[1][0] ** 2 + affine[2][0] ** 2),
Math.sqrt(affine[0][1] ** 2 + affine[1][1] ** 2 + affine[2][1] ** 2),
Math.sqrt(affine[0][2] ** 2 + affine[1][2] ** 2 + affine[2][2] ** 2),
] as Types.Point3;
const orientation = [
affine[0][0] / spacing[0],
affine[0][1] / spacing[1],
affine[0][2] / spacing[2],
affine[1][0] / spacing[0],
affine[1][1] / spacing[1],
affine[1][2] / spacing[2],
affine[2][0] / spacing[0],
affine[2][1] / spacing[1],
affine[2][2] / spacing[2],
] as Types.Mat3;
return { origin, orientation, spacing };
}
export { generateAffineMatrix, parseAffineMatrix };
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