According to one embodiment, a three-dimensional (3D) measuring device is provided. The 3D measuring device includes a processor system that is configured to generate a point cloud representing multiple surfaces. The point cloud includes multiple scan points. Generating the point cloud includes receiving spherical coordinates for a scan point, the spherical coordinates comprising a distance (r), a polar angle (θ), and an azimuth angle (φ). Generating the point cloud further includes homogenizing a scan point density of the surfaces by filtering the scan points. The homogenizing includes computing a value (p) for the scan point based on the spherical coordinates. Based on the value exceeding a predetermined threshold, storing the scan point as part of the point cloud, and based on the value not exceeding the predetermined threshold, discarding the scan point.