# Questions tagged [procrustes-analysis]

A form of shape analysis where one set of points is rotated in some way to try to superimpose it over another set of points to achieve maximal overlay fit.

36 questions
Filter by
Sorted by
Tagged with
1 vote
32 views

### Fitting the rotation between two sets of 3D points, given 1D measurements

Context: I am measuring a series of points on the surface of an object, with a measuring device which can only capture the position of a point perpendicular to the the surface being measured. I am ...
• 11
1 vote
20 views

### How to compare different clusters of different size, rotation, scale and translation?

Assume that you have a matrix $X$ that contains the data inside the left image. The data inside $X$ is not classified. The matrix $X$ also contains outliers/noise. On the right, we can se the template ...
• 425
45 views

### What is the size of Procrustes matrix?

Is there a contradiction in the presentations of orthogonal Procrustes rotation problem? In Matrix Computations by Golub&Van Loan (1) the orthogonal Procrustes problem is posed as an optimal ...
• 21
42 views

### procrustes alternative

Im comparing two multidimensional MDS solutions, the solutions have the same number of dimensions. I don't think I can use the permutation version of procrustes analysis (commonly, PROTEST in R::vegan)...
295 views

### Procrustes Problem for rank-deficient input

It is well known that the solution to the orthogonal Procrustes problem $$\textrm{arg min}_{\Omega \in \text{SO}(n)} ||Y - \Omega X||^2_2,$$ can be expressed in terms of an SVD of the covariance ...
• 301
391 views

### What is the difference between symmetric and non-symmetric in Procrustes/Protest analysis?

I'm basing my question off of someone else's stackoverflow post. My questions are the following: 1. A widely used R package vegan has a function called procrustes, ...
• 1,472
506 views

### What could be a good metric for rotation/translation-invariant image similarities?

An acquaintance posted an interesting image processing question. In the image below, we can tell that (a) and (c) are similar, whereas (b) is different. If we use (a) as a template and want to have a ...
• 455
1 vote
134 views

• 4,374
50 views

### Procrustes superimposition and sliding in integrated structures

Assume I have the following structure. Black dots represent semilandmarks to be slid, and red dots are "anatomical", or "fixed", landmarks. They are both dependent on each other, so that the ...
• 21
714 views

• 133
585 views

### Is factor analysis appropriate for repertory grid data?

I've used factor analysis for questionnaires and such before, but I have a new research question now and it doesn't seem like anything similar has been done. I've had participants rate 8 news articles ...
• 41
437 views

### Comparing facial curvature of two human faces

I need help determining if what I'm doing is sufficient. I have extracted the "curvature" from two human faces (essentially the curve that goes from one ear, down the face to the chin, and back up to ...
• 323
980 views

### Procrustes Analysis of 3d point cloud without defined landmarks

I am working with several hundred 3d point clouds generated using a 3d scanner and would like to be able to compare their shapes using something like a procrustes analysis. Instead of manually ...
2k views

### Looking for a test for shape comparison

I have two different time series both length = 100 and I need to know what is the best test (non-parametric, if possible), that return how much these two series are same or similar shapes. Here are ...
3k views

### Factor analysis on multiply imputed data

I have a data set with approximately 500 observations on eight key variables. There are a lot of missing data; only about 1/12 of the observations are complete. I am using ...
• 125k
9k views

### How to reduce the number of variables in cluster analysis?

I've got 10 (yes, only 10) cases over 1000 variables (e.g. measurements of concentrations of 1000 different compounds at 10 different time points). I can group these cases into 3 clusters in 1000-...
• 51
1 vote
335 views

### Methods of "Two-Way" Multidimensional Scaling (MDS)?

I just want to ask about the MDS. Below is the subcategory of the Multidimensional Scaling topic. Multidimensional Scaling Metric and Non-Metric Models Methods of "Two-Way" Multidimensional Scaling (...
52k views

### Similarity measures between curves?

I would like to compute the measure of similarity between two ordered sets of points---the ones under User compared with the ones under Teacher: The points are curves in 3D space, but I was thinking ...
• 351
1 vote