Awesome-BRDF

List of awesome papers on BRDF

BRDF Representation

Year	Pub	Name	Paper	Reciprocity	Energy Cons.
1720	Eberhard Klett	Lambert	Photometria sive de mensura et gradibus luminis, colorum et umbrae
1975	CACM	Phong	Illumination for computer generated pictures
1977	SIGGRAPH	Blinn-Phong	Models of light reflection for computer synthesized pictures
1982	TOG	Cook-Torrance	A Reflectance Model for Computer Graphics		✓
1991	SIGGRAPH	He	A comprehensive physical model for light reflection	✓	✓
1992	SIGGRAPH	Ward	Measuring and modeling anisotropic reflection	✓
1994	SIGGRAPH	Oren-Nayar	Generalization of Lambert's reflectance model	✓	✓
1997	SIGGRAPH	Lafortune	Non-Linear Approximation of Reflectance Functions	✓	✓
1999	CGF	Neumann	Compact Metallic Reflectance Models	✓	✓
2000	JGT	Ashikhmin-Shirley	An anisotropic phong BRDF model
2001	CGF	Ershov	Rendering pearlescent appearance based on paint-composition modelling		✓
2006	TOG	Edwards	The halfway vector disk for brdf modeling		✓
2007	-	Ashikhmin-Premoze	Distribution-based brdfs	✓	✓
2007	EGSR	Walter(GGX)	Microfacet Models for Refraction through Rough Surfaces	✓	✓
2008	GRAPHITE	Weidlich and Wilkie	Arbitrarily Layered Micro-Facet Surfaces	✓	✓
2010	SIGGRAPH	Kurt	An anisotropic brdf model for fitting and monte carlo rendering	✓	✓
2012	CGF	Bagher	Accurate fitting of measured reflectances using a Shifted Gamma micro-facet distribution	✓
2012	TOG	Lōw	Brdf models for accurate and efficient rendering of glossy surfaces	✓
2014	TOG	Brady	genBRDF: discovering new analytic BRDFs with genetic programming	✓
2014	TOG	Jakob	Discrete stochastic microfacet models

Fresnel Term

$\begin{align*} F=F_0+(1-F_0)(1-\cos{\theta_i}) \end{align*}$

Name	Year	Pub	Paper	Reciprocity	Energy Cons.
Lambert	1720	Eberhard Klett	Photometria sive de mensura et gradibus luminis, colorum et umbrae
Lambert	$\begin{align} \frac{1}{\pi}\rho_d \end{align}$
Phong	1975	CACM	Illumination for computer generated pictures
Phong	$\begin{align}i_d + \rho_s(\omega_o \cdot \omega_r)^m\end{align}$
Blinn-Phong	1977	SIGGRAPH	Models of light reflection for computer synthesized pictures
Blinn-Phong	$\begin{align}i_d+\rho_s(\mathbf{n} \cdot \mathbf{h})^m\end{align}$
Cook-Torrance	1977	SIGGRAPH	A Reflectance Model for Computer Graphics	✓
Cook-Torrance	$\begin{align}i_d+\rho_s\frac{DGF}{\pi(\mathbf{n} \cdot \omega_i)(\mathbf{n} \cdot \omega_o)}\end{align}$ $\begin{align} D=\frac{1}{4m^2(\mathbf{n} \cdot \mathbf{h})^4}\exp{\Bigg(-\frac{1-(\mathbf{n} \cdot \mathbf{h})^2}{m^2(\mathbf{n} \cdot \mathbf{h})^2}\Bigg)} \end{align}$ $\begin{align} G=\min{\Bigg(1, \frac{2(\mathbf{n} \cdot \mathbf{h})(\mathbf{n} \cdot \mathbf{\omega_o})}{\mathbf{h} \cdot \omega_o}, \frac{2(\mathbf{n} \cdot \mathbf{h})(\mathbf{n} \cdot \mathbf{\omega_i})}{\mathbf{h} \cdot \omega_o}\Bigg)} \end{align}$
He	1991	SIGGRAPH	A comprehensive physical model for light reflection	✓	✓
He
Ward	1992	SIGGRAPH	Measuring and modeling anisotropic reflection	✓
Ward	$\begin{align} D_{iso}=\frac{1}{4 \pi m^2 \sqrt{(\mathbf{n} \cdot \omega_i)(\mathbf{n} \cdot \omega_o)}}\exp{\Big(-\tan^2 \Big(\frac{\theta_h}{m^2}\Big)\Big)} \end{align}$ $\begin{align} D_{aniso}=\frac{1}{4 \pi m_x m_y \sqrt{(\mathbf{n} \cdot \omega_i)(\mathbf{n} \cdot \omega_o)}}\exp{\Bigg(-\tan^2(\theta_h) \Big(\frac{(\mathbf{h} \cdot \omega_i)}{m_x^2}+\frac{(\mathbf{h} \cdot \omega_i)}{m_y^2}\Big)\Bigg)} \end{align}$
Oren-Nayar	1994	SIGGRAPH	Generalization of Lambert's reflectance model	✓	✓
Oren-Nayar	$\begin{align} i_d=\rho_d \frac{1}{\pi}\Big(1-\frac{0.5}{m+0.33}+\frac{0.44m}{m+0.99}\cos{(\phi_i-\phi_o)}\sin{\big(\max{(\theta_i, \theta_o)}\big)}\tan{\big(\min{(\theta_i, \theta_o)}\big)}\Big) \end{align}$
Lafortune	1997	SIGGRAPH	Non-Linear Approximation of Reflectance Functions	✓	✓
Lafortune
Neumann	1999	CGF	Compact Metallic Reflectance Models	✓	✓
Neumann
Ashikhmin-Shirley	2000	JGT	An anisotropic phong BRDF model
Ashikhmin-Shirley
Ershov	2001	CGF	Rendering pearlescent appearance based on paint-composition modelling		✓
Ershov
Edwards	2006	TOG	The halfway vector disk for brdf modeling		✓
Edwards
Ashikhmin-Premoze	2007	-	Distribution-based brdfs	✓	✓
Ashikhmin-Premoze
Walter(GGX)	2007	EGSR	Microfacet Models for Refraction through Rough Surfaces	✓	✓
Walter(GGX)
Weidlich and Wilkie	2008	GRAPHITE	Arbitrarily Layered Micro-Facet Surfaces	✓	✓
Weidlich and Wilkie
Kurt	2010	SIGGRAPH	An anisotropic brdf model for fitting and monte carlo rendering	✓	✓
Kurt
Bagher	2012	CGF	Accurate fitting of measured reflectances using a Shifted Gamma micro-facet distribution	✓
Bagher
Lōw	2012	TOG	Brdf models for accurate and efficient rendering of glossy surfaces	✓
Lōw
Brady	2014	TOG	genBRDF: discovering new analytic BRDFs with genetic programming	✓
Brady
Jakob	2014	TOG	Discrete stochastic microfacet models	✓
Jakob