mymesh.register

Tools for registering or aligning point clouds, meshes, and images.

Registration

AxisAlignPoints(points[, axis_order, ...])	Align an point cloud to the x, y, z axes.
AxisAlignImage(img[, axis_order, threshold, ...])	Align an object in an image to the x, y, z axes.
Point2Point(points1, points2[, T0, bounds, ...])	Point cloud-to-point cloud alignment.
Mesh2Mesh(M1, M2[, T0, bounds, transform, ...])	Mesh-to-mesh registration.
Image2Image(img1, img2[, T0, bounds, ...])	Image registration for 2D or 3D images.
ICP(points1, points2[, T0, tol, maxIter])	Iterative Closest Point (ICP) algorithm for registering two point sets

Transformation

transform_points(points, T)	Apply transformation matrix to an array of points.
transform_image(image, T[, options])	Apply transformation matrix to an image.
rotation2d(x[, center])	Rigid rotation in 2D.
rotation(x[, center, rotation_order, ...])	Rigid rotation in 3D.
translation2d(x[, image])	Rigid transformation consisting of translation and rotation in 2D.
translation(x[, image])	Rigid transformation consisting of translation and rotation in 3D.
rigid2d(x[, center, image])	Rigid transformation consisting of translation and rotation in 2D.
rigid(x[, center, rotation_order, ...])	Rigid transformation consisting of translation and rotation in 3D.
similarity2d(x[, center, rotation_order, ...])
similarity(x[, center, rotation_order, ...])
affine2d(x[, center, image])
affine(x[, center, rotation_order, ...])
T2d(t0, t1)	Generate a translation matrix
R2d(theta, center)	Generate a rotation matrix for a rotation about a point
S2d(s0, s1[, reference])	Generate a scaling matrix
Sh2d(sh01, sh10[, reference])	Generate a shearing matrix ref:https://www.mathworks.com/help/images/matrix-representation-of-geometric-transformations.html
T3d(t0, t1, t2)	Generate a translation matrix
R3d(alpha, beta, gamma[, center, ...])	Generates a rotation matrix for a rotation about a point
S3d(s0, s1, s2[, reference])	Generate a 3d scaling matrix
Sh3d(sh01, sh10, sh02, sh20, sh12, sh21[, ...])	Generates a shearing matrix ref:https://www.mathworks.com/help/images/matrix-representation-of-geometric-transformations.html

Similarity Metrics

dice(u, v)	Dice-Sorensen coefficient for measuring the similarity between two binary images or arrays [Dic45] [Sor48]
jaccard(u, v)	Jaccard index for measuring the similarity between two binary images or arrays
mutual_information(img1, img2)
hausdorff(points1, points2)	Directed hausdorff distance between two sets of points.
closest_point_MSE(points1, points2[, tree1])	Mean squared error of the closest point distances between two point sets.
symmetric_closest_point_MSE(points1, points2)	Mean squared error of the closest point distances between two point sets.

Optimization

optimize(objective, method[, x0, bounds, ...])

Optimization interface for registration.

Visualization

ImageOverlay(img1, img2[, threshold])

Generate an overlay image.