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Published byArnold Wattles Modified over 2 years ago

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Xianyou Hou, Li-Yi Wei, Heung-Yeung Shum, Baining Guo Real-time Multi-perspective Rendering on Graphics Hardware

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Teaser Real-time near object reflection off curved surface Environment mapRay tracingOur technique

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Camera Projection Model Single-perspective Projection directions merge at a single point Pin-hole, orthographic, oblique, etc Supported on graphics hardware Multi-perspective Arbitrary projection directions General linear camera [Yu and McMillan ] Not directly supported on graphics hardware

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Why Multi-perspective Projection? Model many natural phenomena curved reflectionrefractioncaustics may not intersect at one point!

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Goal and Previous Work curved reflection near geometry fully dynamic speed Ray tracingОООХ Environment map ОХОО Image/depth sprite ООХО Mirror or gem stone ХООО [Ofek et al 1998] concavity?ОО depend on dicing Our methodООО polygon rasterization

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Our Methodology Multi-perspective projection on feed-forward pipeline Similar to beam tracing Handles only planlar reflection Curved reflection via polygon rasterization (as opposed to ray tracing on GPU) Custom vertex and fragment program Non-linear rasterization

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Algorithm Overview Build coarse triangle mesh Determine projection directions at mesh vertices Render each camera triangle via polygon rasterization Multi-perspective projection Custom vertex/fragment program

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Parameterization Barycentric interpolation C 0 continuity p v1v1 d1d1 d d3d3 d2d2 v3v3 v2v2 d = w 1 d 1 + w 2 d 2 + w 3 d 3 w1w1 w2w2 w3w3

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Rasterize one scene △ in one camera △ Vertex program: bounding triangle estimation Fragment program: ray-triangle intersection d1d1 d2d2 d3d3 v1v1 v2v2 v3v3 p11p11 p13p13 p12p12 p ij = projection of v j under d i killed shaded

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Limitations and Acceleration Very brute force Rasterize every scene △ in every camera △ Bounding △ over-estimation No Zcull Acceleration object culling bounding △ culling camera tessellation level

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Camera Tessellation Level Ray tracing26 (51 fps) 26x4 (63 fps)26x4x4 (5 fps) Smaller camera △ provides better bounding △ estimation faster

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Performance # scene △ # camera △ fps no acceleration fps + acceleration

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Applications reflectionrefraction causticsvisualization

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Refraction Ray tracingOur result Only C 0 continuity

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Caustics 1. Multi-perspective rendering into light point 2. Photon splatting light photon location map reflector caustic receiver

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Visualization

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Future Work Speed improvement Tighter bounding △ estimation Multiple reflections/refractions (i.e. beam tracing) C k continuity with k > 0 Ride with polygon rasterization! GPU is not designed for ray tracing [Purcell et al 2002] CPU ray tracing [Wald et al 2006] ?

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Thank you!

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