The Study On Human Skeleton Animation Using Partial Differential Equations

With the three dimensional animation advertisements frequently broadcast on TV screen, computer animation has stepped into our daily life. A very important goal in human animation, which is a key part of computer animation, is how to make the various actions of different parts of the human body work naturally and coordinately; and this makes joint animation a very important research direction. There are still many problems to be solved in joint animation which attract the interest of many researchers. Usually we think the main action of human or animal is the movement of skeleton. There for, the skeletal animation becomes the main point of research in joint animation. Researchers have tried using PDE in this field to get a better result. This paper has studied skeletal animation using parameterization method on PDE surface; this brought the skeletal animation and PDE surface fitting together, and creates the surface of the moving item using partial differential equations. This means that only a few data is required to pet the boundary curve as well as the surface we need. Experiments show the correctness and efficiency of this method.This paper is written in the following structure:The first chapter mainly introduces the development of animation and PDE, the current research status of skeleton animation and the purpose of our research. The second chapter introduces the basic concept, definition and general formula of PDE first, and then the PDE surface modeling is studied, an example of sphere fitting is used to show how the modeling work is done, and the same method is used to make a skeletal human surface. These experiments show the advantages such as convenience and efficiency of the method. Chapter three majored in the research of the algorithm to generate the skeleton of human body and motion control. At the beginning of the chapter how to create a human skeleton is introduced, the movement algorithm is studied on this frame. Since IK is used here, the detailed IK algorithm steps are showed in this part. The skinning techniques, which is used to connect skin and skeleton frame, is then introduced, PDE is used in this part, and an animation of the human skeleton rise his right hand is made, which proved the possibility of using PDE in computer animation. Chapter four gives more examples of human skeleton animation including head nodding, head sinking and leg lifting. The last chapter summarizes the work of the whole paper and shows the directions of further studies.