1. A computer software product for processing a three-dimensional scene, and determining and displaying lines-of-sight (LOS) and viewsheds in the scene, the product comprising a physical computer-readable medium including stored instructions that, when executed by a computer, cause the computer to: i) assign at a user-selected location at least one viewpoint in the scene; ii) apply ray tracing from locations in the scene to the viewpoint to determine locations in the scene that are in a line of sight (LOS) and outside the LOS of the viewpoint and thereby determining the viewshed relative to the viewpoint; iii) color-code the scene whereby the color coding differentially indicates the locations in the line of sight (LOS) and outside the LOS of the viewpoint, thereby displaying a color-coded viewshed relative to the viewpoint, and iv) operate a graphical user interface (GUI) that includes a user-selected color-coding scheme for display of safe headroom contours by coloring surfaces that have a near line of sight to an observer or multiple observers when rays are originated from points above said surfaces while differentially-coloring surfaces that are not in the direct line of sight whereby the safe headroom contours reveal whether people positioned on said surfaces can be seen by an observer.