Register two point clouds using ICP algorithm
tform = pcregrigid(moving,fixed)
[tform,movingReg] = pcregrigid(moving,fixed)
[___,rmse] = pcregrigid(moving,fixed)
[___] = pcregrigid(moving,fixed,Name,Value)
The registration algorithm is based on the "iterative closest
point" (ICP) algorithm. Best performance of this iterative process
requires adjusting properties for your data. Consider downsampling
point clouds using
pcregrigid to improve accuracy and efficiency
Point cloud normals are required by the registration algorithm
when you select the
'pointToPlane' metric. Therefore,
if the input point cloud’s
is empty, the function fills it. When the function fills the
it uses 6 points to fit the local plane. Six points may not work under
all circumstances. If registration with the
fails, consider calling the
which allows you to select the number of points to use.
Load point cloud data.
ptCloud = pcread('teapot.ply'); figure pcshow(ptCloud); title('Teapot');
Create a transform object with 30 degree rotation along z -axis and translation [5,5,10].
A = [cos(pi/6) sin(pi/6) 0 0; ... -sin(pi/6) cos(pi/6) 0 0; ... 0 0 1 0; ... 5 5 10 1]; tform1 = affine3d(A);
Transform the point cloud.
ptCloudTformed = pctransform(ptCloud,tform1); figure pcshow(ptCloudTformed); title('Transformed Teapot');
Apply the rigid registration.
tform = pcregrigid(ptCloudTformed,ptCloud,'Extrapolate',true);
Compare the result with the true transformation.
0.8660 0.5000 0 0 -0.5000 0.8660 0 0 0 0 1.0000 0 5.0000 5.0000 10.0000 1.0000
tform2 = invert(tform); disp(tform2.T);
0.8660 0.5000 -0.0000 0 -0.5000 0.8660 0.0000 0 0.0000 -0.0000 1.0000 0 5.0000 5.0000 10.0000 1.0000
comma-separated pairs of
the argument name and
Value is the corresponding value.
Name must appear inside single quotes (
' '). You can
specify several name and value pair arguments in any order as
'pointToPoint'sets the metric for the ICP algorithm to the
'Metric'— Minimization metric
Minimization metric, specified as the comma-separated pair consisting
Metric' and the
vector. The rigid transformation between the moving and fixed point
clouds are estimated by the iterative closest point (ICP) algorithm.
The ICP algorithm minimizes the distance between the two point clouds
according to the given metric.
reduce the number of iterations to process. However, this metric requires
extra algorithmic steps within each iteration. The
improves the registration of planar surfaces.
Downsample Method Selection:
Downsample the point clouds using the
pcdownsample function. Use either the
pcdownsample function according to the
|Metric||Point Cloud A Downsample Method||Point Cloud B Downsample Method|
Extrapolation, specified as the comma-separated pair consisting
Extrapolate' and the boolean
When you set this property to
true, the function
adds an extrapolation step that traces out a path in the registration
state space, that is described in . Setting this property to
reduce the number of iterations to converge.
'InlierRatio'— Percentage of inliers
1(default) | scalar
Percentage of inliers, specified as the comma-separated pair
consisting of '
InlierRatio' and a scalar value.
Use this value to set a percentage of matched pairs as inliers. A
pair of matched points is considered an inlier if its Euclidean distance
falls within the percentage set of matching distances. By default,
all matching pairs are used.
'MaxIterations'— Maximum number of iterations
20(default) | positive integer
Maximum number of iterations, specified as the comma-separated
pair consisting of '
MaxIterations' and a positive
integer. This value specifies the maximum number of iterations before
'Tolerance'— Tolerance between consecutive ICP iterations
[0.01, 0.009](default) | 2-element vector
Tolerance between consecutive ICP iterations, specified as the
comma-separated pair consisting of '
and a 2-element vector. The 2-element vector, [Tdiff, Rdiff],
represents the tolerance of absolute difference in translation and
rotation estimated in consecutive ICP iterations. Tdiff measures
the Euclidean distance between two translation vectors. Rdiff measures
the angular difference in radians. The algorithm stops when the average
difference between estimated rigid transformations in the three most
recent consecutive iterations falls below the specified tolerance
'InitialTransform'— Initial rigid transformation
Initial rigid transformation, specified as the comma-separated pair consisting of
InitialTransform' and an
affine3d object. The
initial rigid transformation is useful when you provide an external
'Verbose'— Display progress information
Display progress information, specified as the comma-separated
pair consisting of '
Verbose' and a logical scalar.
true to display
tform— Rigid transformation
Rigid transformation, returned as an
affine3d object. The rigid
transformation registers a moving point cloud to a fixed point cloud. The
affine3d object describes the rigid
3-D transform. The iterative closest point (ICP) algorithm estimates the
rigid transformation between the moving and fixed point clouds.
movingReg— Transformed point cloud
Transformed point cloud, returned as a
pointCloud object. The transformed point cloud is
aligned with the fixed point cloud.
rmse— Root mean square error
Root mean square error, returned as the Euclidean distance between the aligned point clouds.
 Chen, Y. and G. Medioni. “Object Modelling by Registration of Multiple Range Images.” Image Vision Computing. Butterworth-Heinemann . Vol. 10, Issue 3, April 1992, pp. 145-155.
 Besl, Paul J., N. D. McKay. “A Method for Registration of 3-D Shapes.” IEEE Transactions on Pattern Analysis and Machine Intelligence. Los Alamitos, CA: IEEE Computer Society. Vol. 14, Issue 2, 1992, pp. 239-256.