Printone: Interactive Resonance Simulation for Free-form Print-wind Instrument Design

摘要

This paper presents an interactive design interface for threedimensionalrnfree-form musical wind instruments. The sound of arnwind instrument is governed by the acoustic resonance as a resultrnof complicated interactions of sound waves and internal geometriesrnof the instrument. Thus, creating an original free-form wind instrumentrnby manual methods is a challenging problem. Our interfacernprovides interactive sound simulation feedback as the user edits,rnallowing exploration of original wind instrument designs. Soundrnsimulation of a 3D wind musical instrument is known to be computationallyrnexpensive. To overcome this problem, we first modelrnthe wind instruments as a passive resonator, where we ignore coupledrnoscillation excitation from the mouthpiece. Then we present arnnovel efficient method to estimate the resonance frequency based onrnthe boundary element method by formulating the resonance problemrnas a minimum eigenvalue problem. Furthermore, we can efficientlyrncompute an approximate resonance frequency using a newrntechnique based on a generalized eigenvalue problem. The designsrncan be fabricated using a 3D printer, thus we call the results “printwindrninstruments” in association with woodwind instruments. Werndemonstrate our approach with examples of unconventional shapesrnperforming familiar songs.