Two-Stage Sketch-Based Smoke Illustration Generation using Stream Function

In this paper, we propose a two-stage sketch-based smoke illustration generation framework using stream function and latent diffusion models (LDM). The user sketch is used to guide the generation of the stream function, which serves as the control condition for the velocity field generator. The generated velocity field can be used to guide the smoke simulation to align with the intended flow. We adopt streamlines to encode global flow dynamics as sketch guidance during training. The stream function constitutes the intermediate representation that captures continuous variation and rotational flow details absent from sketches.