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Generation of Synthetic Non-Homogeneous Fog by Discretized Radiative Transfer Equation.

Marcell Beregi-Kovacs1, Balazs Harangi1, Andras Hajdu1

  • 1Faculty of Informatics, University of Debrecen, 4028 Debrecen, Hungary.

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|June 25, 2025
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Summary
This summary is machine-generated.

This study introduces a physics-driven method for realistic fog synthesis, improving image realism for autonomous navigation and AR. The approach models complex fog variations, outperforming traditional methods in visual fidelity.

Keywords:
discretizationfog synthesisimage augmentationinhomogeneous mediaphysical modelingradiative transfer equation

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Area of Science:

  • Computer Vision
  • Image Synthesis
  • Scientific Computing

Background:

  • Realistic fog synthesis is crucial for applications like autonomous navigation, augmented reality, and visual effects.
  • Existing methods often assume uniform fog and simplified scattering, limiting physical accuracy.
  • Traditional techniques include Koschmieder's law and Generative Adversarial Network (GAN)-based image translation.

Purpose of the Study:

  • To develop a physics-driven approach for synthesizing spatially inhomogeneous fog with anisotropic multi-scattering.
  • To enhance the structural consistency and perceptual plausibility of synthetic fog effects.
  • To improve the physical realism of image augmentation under challenging visibility conditions.

Main Methods:

  • Discretization of the Radiative Transfer Equation (RTE) to model complex fog phenomena.
  • Incorporation of spatially varying fog distributions.
  • Modeling of anisotropic multi-scattering effects for enhanced realism.

Main Results:

  • The proposed RTE-based method demonstrated superior performance compared to Koschmieder-based and GAN-based baselines.
  • Achieved a 10% lower Fréchet Inception Distance (FID) compared to Koschmieder's law.
  • Achieved a 42% lower FID compared to CycleGAN, with improved Pearson correlation.
  • Generated structurally consistent and perceptually plausible fog effects.

Conclusions:

  • The RTE-based fog synthesis method offers significant improvements in physical realism and visual fidelity.
  • It enables more accurate image augmentation for applications requiring challenging visibility conditions.
  • High memory requirements for tensor computations pose a challenge for real-time or large-scale deployment.