Abstract: A method for constructing mapping coordinates for a high-resolution graphics model includes the steps of expanding a projection cage to substantially encompass both a low-resolution graphics model and the high-resolution graphics model, and defining a volume that extends from a polygon of the projection cage through a corresponding polygon of the low-resolution graphics model. The method also includes the steps of determining points within an area on a surface of the high-resolution graphics model defined by an intersection of the volume and the high-resolution model, and, for each point where the corresponding polygon is the closest polygon of the low-resolution graphics model to the point, projecting the point to the corresponding polygon to define a projection point on the corresponding polygon.

Abstract: A wideband, e.g., 550 nm to 940 nm, apochromatic lens system for use with an external aperture stop, includes first, second, and third optical groups having, in order, positive, negative, and positive powers. The first group includes four optical elements having, in order, negative, positive, negative, and positive powers. The second group includes one element of negative power; and the third group includes two elements each having positive power. In another embodiment for use with an internal stop, the system includes first, second, and third optical groups having, in order, positive, positive, and negative powers. The first group includes four optical elements having, in order, positive, negative, positive, and negative powers. The second group includes one element of positive power, and the third group includes one element of negative power. In either embodiment, all of the optical elements are formed from not more than three different types of glass material.