5-dimensional CSFs: spatial and temporal frequency, luminance, size and eccentricity

Fitting error

The following table summarizes the fitting errors, where each row corresponds to a different dataset. For each CSF model, the sensitivity error is reported in decibels [dB] as 20×√(mean((log10Spred − log10Sref)²)), and the Critical Flicker Frequency (CFF) error is reported in hertz [Hz] as √(nanmean((CFFpred − CFFref)²)). As noted in the original elaTCSF paper, the dataset snowden1995 contains numerous spatial frequencies and is therefore used only for model fitting, not for testing.

Dataset Fitting error Sensitivity adjustment
elaTCSF
sensitivity error[dB]
elaTCSF
CFF RMSE error [Hz]
elaTCSF
Average training 3.50 [dB] 8.95 [Hz] N/A
hartmann1979 - 10.22 [Hz] 0.211
deLange1958b - 1.99 [Hz] 0.753
krajancich2021 - 8.61 [Hz] 0.328
yancheng2024 2.32 [dB] - 1.000
hvei_cff2022 - 5.25 [Hz] 0.073
deLange1958 2.59 [dB] - 0.522
kelly1961 5.30 [dB] - 0.119
snowden1995 - - 0.455

Model parameters

elaTCSF
Parameters for TCSF component: p.E_thr = 6.48542; p.beta = 3.80022; p.elTCSF.lum_k = [ 1.76651 1.62402 0.533781 ]; p.elTCSF.ecc_k1 = 0.0330933; p.elTCSF.tcsf_ecc_k1 = 0.0341811; p.elTCSF.tcsf_lum_k1 = 0.222303; p.elTCSF.tcsf_lum_b1 = 0.667903; p.elTCSF.TCSF_xi = 153.998; p.elTCSF.TCSF_tau = 0.00292114; p.elTCSF.TCSF_kappa = 2.12547; p.elTCSF.TCSF_zeta = 0.721095;

CSF model: elaTCSF

L+M

Legend

To keep the plots legible, only up to 3 models are plotted.

Dataset: [hartmann1979] Hartmann et al. 1979

CFF as a function of eccentricity at different luminance levels

CFF as a function of stimulus diameter

Dataset: [deLange1958b] De Lange 1958

CFF for white light as a function of luminance

Dataset: [krajancich2021] Krajancich et al. 2021

Critical fusion frequency at eccentricities

CFF at luminance levels for 0.57 cpd

CFF at luminance levels, foveal vision (ecc=0)

Dataset: [yancheng2024] Yancheng Cai 2024 VRR Flicker Dataset

Sensitivity vs. Temporal Frequency

Sensitivity vs. Area

Dataset: [hvei_cff2022] HVEI CFF 2022

CFF for white light as a function of luminance and eccentricity

Dataset: [deLange1958] De Lange 1958 TCSF

TCSF for white light as a function of luminance

Dataset: [kelly1961] Kelly 1961

TCSF for white light as a function of luminance

Dataset: [snowden1995] Snowden et al. 1995

Temporal contrast sensitivity at different spatial frequencies and luminance levels