This document summarizes a generalization approach for single-center 3D projections that can handle non-planar projections, 2D lens effects, and image warping. It presents a technique using dynamic cube maps and projection tile screens to define arbitrary projection functions in a hardware-accelerated way. Applications shown include non-planar surfaces, custom normal maps for distortions, and compound projections. Future work is noted to improve quality and provide a graphical user interface.

1. BBB Computer Graphics Systems Group, Hasso-Plattner Institute, University of Potsdam, A Generalization Approach for 3D Viewing Deformations of Single-Center Projections Matthias Trapp , Jürgen Döllner 3 rd International Conference on Computer Graphics Theory and Applications 22 - 25 January, 2008, Funchal, Madeira - Portugal

10. Generalization Concept – Overview A B C D

11. Projection Tile Screen - Example Final Rendering

17. Main Shader Shader main entry point

18. Cylindrical Projection Shader Projection function

20. Non-Planar Projection Surfaces Horizontal FOV: 360°, Vertical FOV 90° Normal Map Final Rendering Non-Planar Projection Surface

21. Using Custom Normal Maps Final Rendering Horizontal FOV: 90°, Vertical FOV 60° Normal Map (Tangent Space) Normal Map (Unit Space)

22. Combinations of Projections

23. Lens Effects Horizontal FOV: 180°, Vertical FOV 135° Final Rendering Normal Map

24. Compound Eye Horizontal FOV: 120°, Vertical FOV 60°