Phase Extraction

This method is used for extracting phase information from complex-valued images. When processing complex images, phase extraction algorithms can be employed to retrieve the phase component. Phase information is crucial for image processing and computer vision tasks as it provides valuable insights about object shapes, textures, and depth characteristics within the image. By extracting phase information, we can achieve more precise and accurate image analysis and processing, thereby enhancing the performance and effectiveness of image processing algorithms. Implementation typically involves using the angle() or atan2() functions to compute the phase component from complex pixel values. For a complex image matrix Z, the phase can be calculated as phase = angle(Z) or phase = atan2(imag(Z), real(Z)), which returns values in the range [-π, π]. This phase extraction process is fundamental in applications like phase-based image analysis, optical flow computation, and Fourier-domain processing.