Qualitative Comparison
See Mel-Spectrogram Comparison

As shown in figure, we compare text-free L2S and text-dependent F2S methods. For L2S methods, we observe severe over-smoothing or acoustic artifacts, leading to significant degradation in speech quality and limiting their practical value. For F2S methods, while they can generate higher-quality speech with the aid of reference text, they struggle to align with the video, resulting in poor lip synchronization. In contrast, our method generates speech with richer acoustic details and precise lip synchronization, benefiting from our cross-modal diffusion process in the discrete space, which effectively addresses the one-to-many mapping issues.