@TechReport{	  it:2003-033,
  author	= {Daniel Noreland},
  title		= {A Gradient Based Optimisation Algorithm for the Design of
		  Brass-Wind Instruments},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2003},
  number	= {2003-033},
  month		= may,
  abstract	= {This paper presents how the shape of a brass instrument
		  can be optimised with respect to its intonation and
		  impedance peak magnitudes. The instrument is modelled using
		  a one-dimensional transmission line analogy with truncated
		  cones. The optimisation employs the Levenberg-Marquardt
		  method, with the gradient of the objective function
		  obtained by analytic manipulation. Through the use of an
		  appropriate choice of design variables, the optimisation is
		  capable of rapidly finding smooth horn profiles.}
}