Pca and eigenvalue interpretation

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SUMMARY

This discussion focuses on the application of Principal Component Analysis (PCA) to analyze human walking movements. The user outlines a method involving the segmentation of the body into parts, tracking their x positions over time, and constructing a matrix for PCA analysis. Key questions arise regarding the interpretation of eigenvalues and the relationship between the first and second principal components. The distinction between PCA and kinematics is also highlighted, emphasizing that PCA is a statistical technique separate from the physics of body movement.

PREREQUISITES
  • Understanding of Principal Component Analysis (PCA)
  • Basic knowledge of kinematics, including forward and inverse kinematics
  • Familiarity with matrix operations and eigenvalue computation
  • Experience with data tracking and time-series analysis
NEXT STEPS
  • Research the interpretation of eigenvalues in PCA and their significance
  • Explore the relationship between principal components in PCA
  • Learn about kinematics and its application in motion analysis
  • Investigate advanced PCA techniques and further analyses that can be performed on PCA results
USEFUL FOR

Researchers in biomechanics, data analysts working with motion capture data, and anyone interested in applying PCA for movement analysis.

martinbandung
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hello, i have a reasearch to analyse the movement of human walking using pca. i did it like this
1. i dibide the body into some part (thigh, foot, hand, etc)
2. i film it so i can track the x position of the parts
3. i get the x to t graph for every part
4. i make a matrix which column is the position x for every parts, and rows is the position for each time
5. i gind the pca of the matrixquestion
how do i interpret the data?
what is the meaning of the eigen values?
what correlation berween first principle component and second principle component?

what further analysis can i get from doing pca?

thanks for the answers
 
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Hey martinbandung.

I think you should outline the PCA technique you are using.

If you are modeling joints and "nodes" of a body then you use something called kinematics. Forward kinematics is when you adjust each node for a new position based on how all "nodes" move and inverse kinematics is when you solve for the "node" positions given final positions for some of the "nodes" (and then solve for the remaining ones).

The technique is covered in a lot of computer animation and physics books.

Principal Component Analysis (PCA) is a statistical technique and is separate from kinematics which is a physics topic.
 

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