Reflection ModelsMultiple Importance SamplingSlide 3Slide 4Slide 5Anisotropic Reflection ModelAnisotropic ReflectionSlide 8QuarterhorseReflection from a CylinderSlide 11Slide 12Slide 13Slide 14Shape of Anisotropic HighlightsSlide 16Kajiya-Kay ModelHerbertFiber ModelSlide 20Slide 21CausticsHair AppearanceSlide 24PowerPoint PresentationSlide 26Slide 27University of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellReflection ModelsPrevious lecturePhong modelMicrofacet modelsGaussian height field on surfaceSelf-shadowingTorrance-Sparrow ModelTodayMultiple importance samplingAnisotropic reflection modelsMultiple Importance SamplingUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellMultiple Importance SamplingReflection of a circular light source by a rough surfaceRadiusShininessSampling the light source Sampling the BRDF( ) ( )f x g x dx∫University of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellMultiple Importance SamplingTwo sampling techniquesForm weighted combination of samplesThe balance heuristic2, 22,2,2 2,~ ( )( )( )iiiiX p xf XYp X=1, 11,1,1 1,~ ( )( )( )iiiiX p xf XYp X=1 1, 2 2,i i iY w Y w Y= +1 1 2 21 2( )( ) ( ) ( ) ( ) ( ) ( )( ) ( )iip xw x p x w x p x w x p xp x p x= ⇒ = ++University of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellMultiple Importance SamplingSource: Veach and GuibasAnisotropic Reflection ModelUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellAnisotropic ReflectionUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellAnisotropic ReflectionUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellQuarterhorseUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellReflection from a CylinderˆTˆΝUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellReflection from a CylinderˆTˆΝUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellReflection from a CylinderˆTˆLˆˆ( )NR LˆNUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellReflection from a CylinderˆTˆLˆˆ( )NR LˆNUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellReflection from a CylinderˆTˆLˆˆ( )NR LUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellShape of Anisotropic HighlightsFrom Lu, Koenderink, KappersFibers tangent to the plane defined by the halfway vector reflect lightUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellShape of Anisotropic HighlightsFrom Lu, Koenderink, KappersUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellKajiya-Kay ModelDiffuseSpecular( )2ˆ ˆsin 1Lθ = − •T L( ) ( )cos co s cos sin sinssE L E L E Lθ θ θ θ θ θ− = +ˆLˆEˆTˆˆ( )NR LUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellHerbertUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellFiber ModelUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellFiber ModelUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellFiber ModelUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellCausticsUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellHair AppearanceUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellHair AppearanceUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don FussellUniversity of Texas at Austin CS395T - Advanced Image Synthesis Spring 2007 Don
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