Quaternion Fourier Transform Toolbox

The Quaternion Fourier Transform Toolbox serves as an extremely practical resource, particularly beneficial for individuals beginning their study of quaternion mathematics. This comprehensive package includes numerous fully-featured tools and functions designed to help users better understand and implement quaternion Fourier transforms. The toolbox is implemented in MATLAB, offering an intuitive interface with key functions such as qfft() for forward transforms, iqfft() for inverse transforms, and specialized visualization tools for quaternion-valued signals. It features optimized algorithms handling both discrete and continuous quaternion Fourier transforms with efficient computation methods. The implementation supports various quaternion representations and includes examples demonstrating applications in color image processing, 3D signal analysis, and multidimensional data transformation. For beginners, it provides detailed documentation with step-by-step tutorials on basic operations, making it an essential tool for entering the field of quaternion-based signal processing.