Image processing matrix image rotation

AI Thread Summary
To rotate an m*n image matrix by any degree in MATLAB without using built-in functions, a rotation matrix is utilized. The rotation matrix is defined as [[cos(θ), sin(θ)], [-sin(θ), cos(θ)]]. The challenge lies in applying this matrix to the entire image matrix, which requires transforming the coordinates of each pixel. The discussion focuses on the mathematical approach to achieve this rotation for angles such as 90, 180, and 270 degrees. A clear method for implementing this transformation in code is essential for successful image manipulation.
billybob5588
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Homework Statement



image processing

I would like to rotate an m*n image matrix by any input degree, simplest cases 90, 180 and 270 on MATLAB without using any of the built in functions i.e. purely mathematical


Homework Equations





The Attempt at a Solution



\left[ \begin{matrix} cos\left(\theta \right) & sin\left(\theta \right) \\ -sin\left(\theta \right) & cos\left(\theta \right) \end{matrix}\right]

is the rotation matrix , how would i apply this to a general case for a m*n matrix?
 
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\left[ \begin{matrix} cos\left(\theta \right) & sin\left(\theta \right) \\ -sin\left(\theta \right) & cos\left(\theta \right) \end{matrix}\right]
 
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