Image processing matrix image rotation

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SUMMARY

This discussion focuses on rotating an m*n image matrix by specified degrees (90, 180, and 270) using MATLAB without relying on built-in functions. The rotation is achieved through the application of the rotation matrix defined as [cos(θ) sin(θ); -sin(θ) cos(θ)]. Participants explore how to implement this mathematical approach to manipulate the pixel positions in the matrix effectively.

PREREQUISITES
  • Understanding of matrix operations in MATLAB
  • Familiarity with trigonometric functions
  • Knowledge of image representation as matrices
  • Basic programming skills in MATLAB
NEXT STEPS
  • Research how to implement custom matrix transformations in MATLAB
  • Learn about pixel manipulation techniques in image processing
  • Explore the mathematical derivation of rotation matrices
  • Investigate alternative methods for image rotation without built-in functions
USEFUL FOR

Students, MATLAB programmers, and image processing enthusiasts looking to deepen their understanding of matrix transformations and custom image manipulation techniques.

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

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