Table 1: List of symbols

Symbol Description
n Number of camera samples per pixel
m Number of photon passes
L ^ ( x, ω ) Estimated radiance at query point x in the outgoing direction ω
L ^ i ( x, ω ) Accumulated radiance at query point x in the outgoing direction ω until photon pass i
W ( x, ω ) Contribution of radiance L ^ ( x, ω ) to pixel value
τ i ( x, ω ) Accumulated normalized flux until photon pass i
τ ^ i ( x, ω ) Normalized lux calculated using photons only from photon pass i
τ ˜ i ( x, ω ) Accumulated normalized flux after reducing kernel bandwidth
Ni Total number of photons emitted from the first to the i-th photon pass
Ne Number of photons emitted in one photon pass
K Kernel function
k1 Normalization constant of the kernel function
Ri Kernel bandwidth at photon pass i
Qi Number of photons within the kernel bandwidth Ri
tq Normalized distance between hitpoint and photon q
ϕq Energy of photon q
ϕ q f r ( x, ω , ω q ) BRDF at hitpoint x from direction ω to direction ω q