Wavelet Transform-Based Simulation of Smoke Translucency

Smoke possesses translucent characteristics, and this program performs wavelet transform-based simulation of smoke translucency, complete with source code and visual results. The implementation leverages wavelet analysis to decompose smoke density fields into multi-resolution components for accurate light scattering modeling.

In this program, we employ wavelet transform techniques to simulate the translucent properties of smoke. Wavelet transform serves as a mathematical tool that decomposes signals or images into components at different scales and frequencies. Through discrete wavelet transform (DWT) implementation, we analyze smoke density distributions using filter banks (e.g., Daubechies wavelets) to capture both high-frequency details and low-frequency backgrounds. This multi-scale approach enables precise simulation of light interaction with smoke particles.

The implementation involves coding smoke density field generation, wavelet decomposition routines, and light transport calculations using phase functions. The simulation algorithm computes light attenuation through the smoke medium by applying wavelet coefficients to model absorption and scattering effects. Visualization modules render the results using volume rendering techniques with transparency mapping based on wavelet-derived opacity values.

This program not only demonstrates smoke translucency but also provides a framework for studying image processing and simulation techniques. By examining the simulation principles through adjustable parameters (wavelet type, decomposition levels, scattering coefficients), users can apply this knowledge to gaming development, cinematic special effects, and scientific visualization. The code structure includes modular functions for wavelet processing, physical modeling, and result export in common image formats.

In summary, this wavelet transform-based program implements smoke translucency simulation through computational code and visual outputs, providing an educational platform for studying smoke dynamics and advanced rendering techniques. The implementation features configurable physical parameters and extensible architecture for further research applications.