Advanced Computer Graphics: Difference between revisions

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-Classnotes for CMSC740 taught by Matthias Zwicker
+Classnotes for CMSC740 taught by Matthias Zwicker (Spring 2020).<br>
+This first portion of the class focuses on ray tracing (specifically, path tracing) and is based on the [https://www.pbrt.org/ PBRT book]<br>
+The second portion of the class introduces deep learning approaches to computer graphics.
 ==Acceleration==
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 ** For homogenous media where <math>\sigma(x) = \sigma</math> is constant
-==Ignore==
+===Phase Functions===
-[[Visible to::users]]
+====Henyey-Greenstein phase function====
+* <math>p(\cos \theta) = \frac{1-g^2}{4\pi(1+g^2-2g\cos \theta)^{1.5}}</math>
+====Properties====
+* Unitless
+* Reciprocity
+** <math>p(\omega' \rightarrow \omega) = p(\omega \rightarrow \omega')</math>
+* Energy conservation
+** Integrates to 1
+* Average phase angle determined by g
+===Volume Rendering Equation===
+====Integro-integral form====
+* <math>L(\mathbf{x}, \omega) = \int_{0}^{\infty}\exp(-\int_{0}^{s'}\sigma_t(\mathbf{x}-s''\omega)ds'')S(\mathbf{x}-s'\omega, \omega)ds</math>
+** <math>\exp(-\int_{0}^{s'}\sigma_t(\mathbf{x}-s''\omega)ds'')</math> is Transmittance <math>T(s')</math> due to extinction
+** <math>S(\mathbf{x}-s'\omega, \omega)</math> is source (emission, in-scattering)
+===Subsurface Scattering===
+====BSSRDF====
+bidirectional surface scattering reflectance distribution function
+* <math>S(\mathbf{x}_i, \omega_i, \mathbf{x}_o, \omega_o)</math>
+==Surface Reconstruction==
+===Crust Technique===
+[https://www.cs.ubc.ca/~sheffa/dgp/ppts/crust.pdf Crust Slides from Univ. BC]