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First Order
 

First Order

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    First Order First Order Presentation Transcript

    • G.I. • • • • • MLT, unbiased MC
    • G.I. • -> • -> • -> • -> • MLT, unbiased MC -> ? • maxwellrender, fryrender, indigo, Kerkythea, etc.
    • MC rendering • • diffuse • irradiance cache? final gather? • MC .
    • • MC • ~ • Analytic • !=
    • “Analytic” • Closed-form • MC • •
    • • 90 • Arvo, INRIA, multipole light expansion, spherical harmonics Durand 2005 • duffse +
    • Analytic rendering • visibility • • • ~
    • ,
    • A First Order Analysis of Lighting, Shading, and Shadows
    • • (gradient)
    • • • •
    • Contribution • • • • •
    • • • spatial angular
    • • B= • ∇B^V = B
    • •V Heaviside formalize w < a(x) 1( ), w > a(x) 0( )
    • • Heaviside
    • •B angular V . T = L x BRDF x cos
    • • • • Bx • Bx
    • • , V (discontinuity) ( )
    • V • • • (semi-analytic) • • ?
    • αe αs x support line OK
    • 0 1 1 0 0 1 1 1 x V
    • 2D
    • • : • :
    • 3D
    • • 1/10 • 1/100 • Visibility gradient • theta=100, phi=100 • 1 pixel 100
    • • • miss • The 3D visibility complex[Durand 2002] • Guided visibility sampling[Wonka 2006] ?
    • • Heaviside • • V • • • additional • V
    • • diffuse • specular • opaque glossy • ( ) ? • ” ”
    • References 1/2 • [Ramamoorthi 2007] A First Order Analysis of Lighting, Shading, and Shadows • http://www1.cs.columbia.edu/~ravir/papers/firstorder/index.html • [Durand 2002] The 3D visibility complex : a new approach to the problems of accurate visibility. • [Durand 2005] A Frequency analysis of Light Transport • http://people.csail.mit.edu/fredo/ • [Durand 1997] The Visibility Skeleton: A Powerful And Efficient Multi- Purpose Global Visibility Tool • [Wonka 2006] Guided Visibility Sampling • [Mattausch 2006] Adaptive Visibility-Driven View Cell Construction
    • References 2/2 • [Arvo 1997] The Irradiance Jacobian for Partially Occluded Polyhedral Sources • [Arvo 2002] Closed-Form Expressions for Irradiance from Non-Uniform Lambertian Luminaire. Part 1 & II • [Arvo 2000] Perterbation Methods for Interactive Specular Reflections • http://www.ics.uci.edu/~arvo/papers.html