Wavelet Phase Diffusion for Sim-to-Real Translation

A new method called Wavelet Phase Diffusion has been introduced to improve simulation-to-reality translation. The approach uses the Dual-Tree Complex Wavelet Packet Transform to overcome limitations of Fourier-domain phase-preserving diffusion, which suffers from global spectral coupling that causes spatial artifacts like ringing and boundary leakage. The method aims to maintain structural and semantic consistency while bridging the appearance gap between synthetic and real domains. The paper is available on arXiv under identifier 2607.21628.