Sample-Based Cameras for Feed Forward Reflection Rendering
IEEE Transactions on Visualization and Computer Graphics
Focal surfaces of discrete geometry
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Multiperspective modeling, rendering, and imaging
ACM SIGGRAPH ASIA 2008 courses
ACM SIGGRAPH Asia 2009 papers
Multiperspective distortion correction using collineations
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part I
Image invariants for smooth reflective surfaces
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
Real-time multi-perspective rendering on graphics hardware
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
Ray geometry in non-pinhole cameras: a survey
The Visual Computer: International Journal of Computer Graphics
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We present a novel method for analyzing reflections on arbitrary surfaces. We model reflections using a broader than usual class of imaging models, which include both perspective and multiperspective camera types. We provide an analytical framework to locally model reflections as specific multiperspective cameras around every ray based on a new theory of general linear cameras. Our framework better characterizes the complicated image distortions seen on irregular mirror surfaces as well as the conventional catadioptric mirrors. We show the connection between multiperspective camera models and caustic surfaces of reflections and demonstrate how they reveal important surface rulings of the caustics. Finally, we show how to use our analysis to assist mirror design and characterize distortions seen in catadioptric imaging systems.