In developing virtual acoustic environments, it is important to understand
the relationship between the computation cost and the perceptual significance
of the resultant numerical error. In this paper, we propose a quality criterion
that evaluates the error significance of path-tracing-based sound propagation
simulators. We present an analytical formula that estimates the error signal
power spectrum. With this spectrum estimation, we can use a modified Zwicker's
loudness model to calculate the relative loudness of the error signal masked by
the ideal output. Our experimental results show that the proposed criterion can
explain the human perception of simulation error in a variety of cases.Comment: 12 pages, 9 figures. To be published in IEEE TVC