Multiple-center-of-projection images
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Texture and reflection in computer generated images
Communications of the ACM
Parameterized environment maps
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Towards interactive ray tracing in two- and three-dimensions
Towards interactive ray tracing in two- and three-dimensions
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Non-linear projections of 3D graphical scenes can be used to compute reflections and refractions in curved surfaces, draw artistic images in the style of Escher or Picasso, and produce visualizations of complex data. Previously, most non-linear projections were rendered by ray tracing. This paper presents trilinear projection, a technique for rendering non-linear projections in a manner that achieves significant performance benefits by taking advantage of current rendering hardware and software.Trilinear projections are geometrically similar to Phong-shaded triangular patches, and like Phong patches they can be joined to represent more complicated shapes. The paper details how a single trilinear projection projects a scene point, how projections of scene triangles can be built up by considering the connectivity of projected points, and how multiple trilinear projections can be combined. Finally, it outlines a method for using trilinear projection to approximate reflections and refractions on curved surfaces.