The subject matter discloses a method of determining whether a point in a computerized image is visible from a viewpoint; said image is represented as a point cloud, the method comprising: performing inversion on a the vicinity of the point thus creating a computerized inversed object, each point in the vicinity of the point is related to a parallel point in the computerized inversed object and obtaining a convex hull of the inversed object; the point is likely to be visible from the viewpoint in case it belongs to the point set composing the convex hull. The method is also useful for shadow casting and for determining the location of an image-capturing device within a volume.