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projects_music [2020/04/15 00:56] trinh created |
projects_music [2020/04/15 00:57] (current) trinh |
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It will be divided into two parts: | It will be divided into two parts: | ||
- | - In Part 1, the student will study the basics of sound processing using Fourier transforms. One of the interesting applications we would like to look into is the design of a visualiser, that converts between synthesising audio and converting this into equivalent wave-forms---for example, modelling the type of motion on a drum that would have resulted in making that sound. | + | - In Part 1, the student will study the basics of sound processing using Fourier transforms. One of the interesting applications we would like to look into is the design of a music visualiser, that converts between synthesising audio and converting this into equivalent wave-forms---for example, modelling the type of motion on a drum that would have resulted in making that sound. |
- In Part 2, the student will look into a famous mathematical problem about whether it is possible to infer the shape of a drum based on the sound it makes (i.e. is it possible to determine geometry based on eigenvalues). The student will apply the visualisations developed in Part 1 to dig into the research on this issue. | - In Part 2, the student will look into a famous mathematical problem about whether it is possible to infer the shape of a drum based on the sound it makes (i.e. is it possible to determine geometry based on eigenvalues). The student will apply the visualisations developed in Part 1 to dig into the research on this issue. | ||