We introduce a new method for detecting ultra-diffuse galaxies by searching for over-densities in intergalactic globular cluster populations. Our approach is based on an application of the log-Gaussian Cox process, which is a commonly used model in the spatial statistics literature but rarely used in astronomy. This method is applied to the globular cluster data obtained from the PIPER survey, a \textit{Hubble Space Telescope} imaging program targeting the Perseus cluster. We successfully detect all confirmed ultra-diffuse galaxies with known globular cluster populations in the survey. We also identify a potential galaxy that has no detected diffuse stellar content. Preliminary analysis shows that it is unlikely to be merely an accidental clump of globular clusters or other objects. If confirmed, this system would be the first of its kind. Simulations are used to assess how the physical parameters of the globular cluster systems within ultra-diffuse galaxies affect their detectability using our method. We quantify the correlation of the detection probability with the total number of globular clusters in the galaxy and the anti-correlation with increasing half-number radius of the globular cluster system. The S\'{e}rsic index of the globular cluster distribution has little impact on detectability.

翻译：我们采用了一种新的方法,通过在星系间球团群群群群群群群群群群群群群群群群群群群群群群群群体中寻找超高密度星系的探测方法。我们的方法基于对地-Gausian Cox过程的应用,这是空间统计文献中常用的模型,但很少用于天文学。这种方法适用于从PIPER调查中获得的星团群群群集数据。这是一个针对珀尔修斯星团群的“Textit{Hubbble Splescope}成像程序。我们成功地探测出所有经确认的超强强度星系群群群群群群群群群群群群群群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群集群群群集群集群集群集群集群集群集群集群集群集群集群群群集群集群集群集群集群集群集群集群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群集群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群群