QUANTIFICATION OF ROOM SHAPE IN HORIZONTAL CROSS SECTION USING ELLIPTIC FOURIER DESCRIPTORS

Abstract

The objective of this study is to describe room shapes of concert halls quantitatively and to evaluate them objectively. Room shapes in horizontal cross section were described using elliptic Fourier descriptor, and these characteristics can be detected quantitatively. Based on the results, we propose the following: 1) Wavelength and amplitude included in a shape can be calculated from Fourier descriptor. 2) The spatial frequency characteristics expressed as the ratio of the amplitude to wavelength (RAW) enable us to detect the spatial frequency that greatly influences the shape. 3) Room shapes in horizontal cross section can be quantitatively compared using Principal Component Analysis which uses normalized Fourier descriptors.