Non-symmetric Scattering in Light Transport Algorithms

Non-symmetric scattering is far more common in computer graphics than is generally recognized, and can occur even when the underlying scattering model is physically correct. For example, we show that non-symmetry occurs whenever light is refracted, and also whenever shading normals are used (e.g. due to interpolation of normals in a triangle mesh, or bump mapping [5]).

[1]  C. R. Mann.  The Theory of Optics , 1903, Nature.

[2]  C. Fragstein.  Ist eine Lichtbewegung Stets Umkehrbar , 1955 .

[3]  N. A. Finkelstein,et al.  Light Calculations and Measurements , 1956 .

[4]  Angus E. Taylor.  Introduction to functional analysis , 1959 .

[5]  J. Partington,et al.  Introduction to functional analysis , 1959 .

[6]  H. Helmholtz.  Helmholtz's Treatise on Physiological Optics , 1963 .

[7]  Allan Gibb.  Algorithm 174: a posteriori bounds on a zero of a polynomial , 1963, CACM.

[8]  F. E. Nicodemus.  Directional Reflectance and Emissivity of an Opaque Surface , 1965 .

[9]  J. Lewins.  Importance, the adjoint function : the physical basis of the variational and perturbation theory in transport and diffusion problems , 1965 .

[10]  F. E. Nicodemus.  Reflectance nomenclature and directional reflectance and emissivity. , 1970, Applied optics.

[11]  M. Pinar Mengüç,et al.  Thermal Radiation Heat Transfer , 2020 .

[12]  W. H. Steel.  Luminosity, throughput, or etendue? , 1974, Applied optics.

[13]  D. Spencer,et al.  Current definitions of reflectance , 1975 .

[14]  Bui Tuong Phong.  Illumination for computer generated pictures , 1975, Commun. ACM.

[15]  F. E. Nicodemus.  Comment on “Current definitions of reflectance” , 1976 .

[16]  Fred E. Nicodemus,et al.  Self-study manual on optical radiation measurements. Part 1: Concepts, chapters 4 and 5 , 1976 .

[17]  F. E. Nicodemus,et al.  Geometrical considerations and nomenclature for reflectance , 1977 .

[18]  Fred E Nicodemus.  Self-study manual on optical radiation measurements :: Part I--Concepts, Chapter 6 , 1977 .

[19]  James F. Blinn,et al.  Simulation of wrinkled surfaces , 1978, SIGGRAPH.

[20]  K. O. Beatty.  Thermal radiation heat transfer, second edition, Robert Siege1 and John R. Howell, hemisphere publishing corporation, 862 pages, $32.00. A solutions manual is avoilable. 1981 , 1981 .

[21]  David S. H. Rosenthal.  The GKS Input Facilities and How To Use Them , 1983, Comput. Graph. Forum.

[22]  L. Delves,et al.  Computational methods for integral equations: Frontmatter , 1985 .

[23]  John M. Snyder,et al.  Ray tracing complex models containing surface tessellations , 1987, SIGGRAPH.

[24]  Roy Hall,et al.  Illumination and Color in Computer Generated Imagery , 1988, Monographs in Visual Communication.

[25]  Paul S. Heckbert.  Adaptive radiosity textures for bidirectional ray tracing , 1990, SIGGRAPH.

[26]  R. Ambartzumian.  Factorization calculus and geometric probability , 1990 .

[27]  P. Heckbert.  Simulating Global Illumination Using Adaptive Meshing , 1991 .

[28]  David Salesin,et al.  An importance-driven radiosity algorithm , 1992, SIGGRAPH.

[29]  M. A. Al-Gwaiz.  Theory of distributions , 1992 .

[30]  T. DeRose,et al.  A Continuous Adjoint Formulation for Radiance Transport , 1993 .

[31]  Michael F. Cohen,et al.  Radiosity and realistic image synthesis , 1993 .

[32]  Yves D. Willems,et al.  Bi-directional path tracing , 1993 .

[33]  Yves D. Willems,et al.  A Theoretical Framework for Physically Based Rendering , 1994, Comput. Graph. Forum.

[34]  James Arvo,et al.  A framework for the analysis of error in global illumination algorithms , 1994, SIGGRAPH.

[35]  Leonidas J. Guibas,et al.  Bidirectional Estimators for Light Transport , 1995 .

[36]  Donald P. Greenberg,et al.  Global Illumination via Density Estimation , 1995, Rendering Techniques.

[37]  Alain Fournier,et al.  From Local to Global Illumination and Back , 1995, Rendering Techniques.

[38]  J. Arvo.  Analytic methods for simulated light transport , 1995 .

[39]  P. Hanrahan,et al.  Wavelet Methods for Radiance Computations , 1995 .

[40]  Andrew S. Glassner,et al.  Principles of Digital Image Synthesis , 1995 .

[41]  Leonidas J. Guibas,et al.  Optimally combining sampling techniques for Monte Carlo rendering , 1995, SIGGRAPH.

[42]  Sumanta N. Pattanaik,et al.  Adjoint equations and random walks for illumination computation , 1995, TOGS.

[43]  David Salesin,et al.  Global illumination of glossy environments using wavelets and importance , 1996, TOGS.

[44]  G. Rybicki.  Radiative transfer , 2019, Climate Change and Terrestrial Ecosystem Modeling.

[45]  A. Hall.  Applied Optics. , 2022, Science.