Sonic imagery: A view of music via mathematical computer science and signal processing.

摘要

For centuries humans have strived to visualize. From cave paintings to modern artworks, we are beings of beauty and expression. A condition known as Synesthesia provides some with the ability to see sound as it occurs. We propose a mathematical computer science and software foundation capable of transforming a sound a priori into a visual representation. We explore and exploit techniques in signal processing, Fourier analysis, group theory and music theory and attach this work to a psychological foundation for coloring and visuals. We propose a new theorem for tone detection, a parallelized FFT and provide an algorithm for chord detection. We provide an extensible software architecture and implementation and compile the results of a small survey.