Space-time vectorization method for fluid surface based on three-variable biharmonic B spline

Abstract

The invention provides a space-time vectorization method for a fluid surface based on a three-variable biharmonic B spline. The space-time vectorization method comprises the following steps: restoringa fluid video height field based on SFS; restoring a fluid velocity field based on a shallow water equation; carrying out data fitting based on a three-variable biharmonic B spline; and performing three-dimensional fluid reproduction based on particle representation. According to the invention, only a monocular fluid video is used as input, geometric and speed information of the fluid in the video is automatically analyzed, continuity of the geometric and speed of the surface of the fluid in time and space dimensions is realized by utilizing a three-variable biharmonic B spline, and super-resolution reduction of the surface of the fluid in time and space dimensions can be realized by utilizing a continuity result. Besides, re-simulation of the fluid is realized based on the particles, thefluid video is restored to the three-dimensional fluid, and the possibility of realizing physical simulation driven by the motion characteristics of the video fluid is further proved.

Description

technical field [0001] The invention relates to the technical fields of computer vision, computer calculation geometry and fluid simulation. Background technique [0002] In recent years, with the rapid development of the field of virtual reality, the demand for simulation of complex objects and large-scale scenes in natural environments has increased. In many natural scenes, fluid and fluid-like behavior is one of the ubiquitous phenomena, such as large-scale scenes such as ocean waves, rivers, waterfalls, floods, floating clouds, smog, smog, and fires, as well as dewdrops, water droplets, bubbles, boiling water, Small-scale scenes such as oil stains, watercolors, oil paintings, burning, and blood flow all involve fluids or quasi-fluids, and present gorgeous and changeable visual effects. Therefore, the modeling and simulation of fluid and fluid-like behavior has attracted the attention of a large number of outstanding researchers, and has gradually become one of the key r...

AI Technical Summary

Problems solved by technology

Although the basic simulation method can simulate relatively simple natural phenomena well, the existing methods cannot accurately describe the complex natural phenomena and large-scale fluid scenes that exist in nature.

Pure physical modeling is difficult to meet the simulation requirements. Therefore, a large number of scholars have introduced data-driven methods into the fluid simulation technology, hoping to drive the fluid simulation with the motion state of the real fluid.

However, since the fluid does not have a fixed geometric structure, the acquisition and analysis of fluid data has become a new difficulty in data-driven thinking

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