A method for the visual representation of implicit surface animation based on temporal interval inversion

Animation rendering is the process of converting 3D models and scenes into 2D images or a series of images, visually presenting dynamic and realistic 3D environmental animations. Traditional methods involve rendering geometric scenes frame by frame on a timeline, which can lead to waste of computational resources. A novel method is proposed based on the temporal interval inversion for the visual representation of implicit surface animation. The scene to be rendered is implicitly modeled, and then a sparse octree grid is used to spatially partition the implicit scene. Interval arithmetic is employed to recursively subdivide the implicit scene into three parts: the interior, exterior, and surface of the implicit body. The deformation amount of continuous multi-frame animations within the time interval is calculated using the time derivative. If the deformation amount exceeds a given threshold, the animation is selectively updated. Experimental results show that this method can trade temporal accuracy for the speed of rendering implicit surface animations, efficiently achieving occlusion between multiple implicit surfaces in the animation.