Projection onto a plane
Versión 1.0.0 (1,34 KB) por
Mohammad Rabaiah
The vector P is the Orthogonal projection of b
The vector P is the Orthogonal projection of b onto plane which has two basis a1 and a2 the vector error e is perpendicular to the p
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Mohammad Rabaiah (2024). Projection onto a plane (https://www.mathworks.com/matlabcentral/fileexchange/94325-projection-onto-a-plane), MATLAB Central File Exchange. Recuperado .
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Versión | Publicado | Notas de la versión | |
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1.0.0 |