A function-based approach of object rendering based on perturbation functions and 3D textures with the use of graphics processing units is proposed. To generate the terrain and the control in levels of detail, the similar technique as that for color textures is used. A method of real-time rendering of 3D clouds is described. For this aim, it is proposed to form 3D textures by means of pre-processing of the inner cloud pattern and volume-oriented rendering.
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Vyatkin et al. (2020) studied this question.