While the Parzen window method efficiently estimates continuous PDFs from discrete histograms, employing a single kernel across diverse histograms from various camera pairs is unreasonable. The strength of the spatial-temporal connection between cameras can be determined by how many objects pass through those cameras during a certain period. For example, few positive pairs between two cameras indicate weak connectivity. Nevertheless, the Parzen window method extremely enlarges those small responses with a small σ value, as depicted in the orange line in Fig. 2 (c). In that case, it is better to use a large σ value to avoid overfitting the distribution for noise and outliers.
To overcome the limitation of the original Parzen window method, we newly propose an adaptive Parzen window by setting various σij values for the camera pairs (ci,cj). To this end, we designed an adaptive standard deviation according to the different strengths of the camera connectivity as shown in Fig. 2 blue lines.