Image processing matrix image rotation

In summary, the conversation is about rotating an m*n image matrix by a user input degree, specifically on MATLAB without using built-in functions. The proposed solution involves using a rotation matrix with cosine and sine functions, but the question remains on how to apply this to a general case for a m*n matrix.
  • #1
billybob5588
22
0

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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  • #2
[tex]\left[ \begin{matrix} cos\left(\theta \right) & sin\left(\theta \right) \\ -sin\left(\theta \right) & cos\left(\theta \right) \end{matrix}\right][/tex]
 
  • #3




To rotate an m*n image matrix by any input degree, you can use the rotation matrix you have mentioned, where theta is the input degree. To apply this to a general case for a m*n matrix, you can follow these steps:

1. Convert the image matrix into a vector by concatenating all the rows of the matrix.

2. Create a new matrix of size (m*n) x 2, where each row represents the coordinates of a pixel in the original matrix.

3. Multiply this matrix with the rotation matrix you have mentioned, resulting in a new (m*n) x 2 matrix with rotated coordinates.

4. Convert this matrix back into a vector and reshape it into a m x n matrix, which will be the rotated version of the original image matrix.

It is important to note that this method will only work for rotations by 90, 180, and 270 degrees. For other input degrees, you will need to use a different rotation matrix or a combination of rotation matrices. Additionally, you may need to consider the boundary conditions and adjust the coordinates accordingly to avoid losing any pixels during the rotation process.
 

1. What is image processing matrix image rotation?

Image processing matrix image rotation is a technique used in computer graphics to rotate an image based on a transformation matrix. This process involves applying a series of mathematical operations to the pixels of an image in order to rotate it to a desired angle.

2. How does image processing matrix image rotation work?

Image processing matrix image rotation works by using a transformation matrix, which is a set of numbers that represent the desired rotation angle and direction. The matrix is multiplied with the original image's pixel coordinates to calculate the new positions of the pixels, resulting in a rotated image.

3. What are the benefits of using image processing matrix image rotation?

One of the main benefits of using image processing matrix image rotation is that it allows for precise and efficient rotation of images without losing any quality. It also allows for easy integration into computer graphics software and can be used for various purposes such as image editing, computer vision, and 3D rendering.

4. Are there any limitations to image processing matrix image rotation?

While image processing matrix image rotation is a powerful tool, it does have some limitations. One of the main limitations is that it can only rotate an image in two dimensions, meaning it cannot create a true 3D rotation effect. Additionally, it may not be suitable for rotating complex or highly detailed images, as it can result in distortion or loss of image quality.

5. What are some real-world applications of image processing matrix image rotation?

Image processing matrix image rotation has a wide range of real-world applications in various industries. It is commonly used in computer graphics for creating animations and special effects, in medical imaging for analyzing and enhancing images, and in satellite imagery for correcting the orientation of images taken from different angles.

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