I wish to understand color image processing based on quaternion Fourier transform. Where will I get basics of that? Is there anyone working on this topic in India?
To perform quaternion color image processing, you can follow these steps:
1. Convert the RGB color image to quaternion representation: Each pixel in the RGB image is represented by a quaternion, which consists of four components (r, g, b, a). The r, g, and b components represent the red, green, and blue channels respectively, while the a component represents the alpha channel for transparency.
2. Apply quaternion operations: Perform various operations on the quaternion representation of the image. These operations can include addition, subtraction, multiplication, division, and other mathematical transformations specific to quaternions.
3. Color space transformations: Perform color space transformations on the quaternion representation of the image. This can involve converting between different color spaces such as RGB, CMYK, HSV (Hue-Saturation-Value), or any other desired color space.
4. Filtering and enhancement: Apply filtering techniques such as blurring or sharpening to enhance or modify specific features in the image. You can use filters designed specifically for quaternion images or adapt existing filters for use with quaternions.
5. Image compression: Develop compression algorithms specifically designed for quaternion images to reduce storage requirements while preserving important visual information.
6. Visualization: Convert the processed quaternion image back to RGB representation for visualization purposes or further analysis if needed.
It's worth noting that performing quaternion color image processing requires a good understanding of quaternions and their mathematical properties. Additionally, there may be specific libraries or software tools available that provide built-in support for quaternion image processing operations that you can utilize in your implementation.