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QR decomposition for 8x8 matrix

version 1.0.0 (117 KB) by Lin Bai
QR decomposition for 8x8 matrix using Givens rotation

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Updated 10 Jan 2019

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QR decomposition for 8x8 matrix, this model is used for Homography Estimation in RANSAC.
4 point pairs are randomly selected and then formed the matrix in the following way.
A =
ax1, ay1, 1, 0, 0, 0, -ax1*bx1, -ay1*bx1;
ax2, ay2, 1, 0, 0, 0, -ax2*bx2, -ay2*bx2;
ax3, ay3, 1, 0, 0, 0, -ax3*bx3, -ay3*bx3;
0, 0, 0, ax1, ay1, -1, -ax1*by1, -ay1*by1;
0, 0, 0, ax2, ay2, -1, -ax2*by2, -ay2*by2;
0, 0, 0, ax3, ay3, -1, -ax3*by3, -ay3*by3;
ax4, ay4, 1, 0, 0, 0, -ax4*bx4, -ay4*bx4;

One could easily modify it into general purpose 8x8 matrix QR decomposition.

After running the simulink model, the error is calculated by Q*R-Matrix. One could check it.

Cite As

Lin Bai (2021). QR decomposition for 8x8 matrix (https://www.mathworks.com/matlabcentral/fileexchange/69954-qr-decomposition-for-8x8-matrix), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2018b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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