Physics Based Modeling Framework for Graphics Computer Aided Design and Visualization

Geometric modeling is of signi cance to a wide variety of elds such as graphics computer aided design CAD visualization medicine and virtual environment This paper presents a novel modeling methodology physics based geometric modeling paradigm which can combine geometric objects with physical and material properties thus allowing intuitive interaction with geometric objects by means of force Conventional modeling techniques which are based on pure geometric primitives and operations often require users to painstakingly adjust numerous geometric parameters to achieve modeling require ments This indirect design process can be laborious and oftentimes clumsy By contrast physics based geometric modeling treats these parameters as generalized coordinates which evolve automatically in re sponse to simulated forces and geometric constraints according to the principles of Lagrangian mechanics The integration of standard geometric primitives with intuitively meaningful physical behavior provides a systematic and uni ed approach to many important applications on graphics CAD and visualization Typical examples include shape blending constraint based and parametric design the tting of unstruc tured data and solid rounding with geometric and physical constraints Physics based modeling method also support direct manipulation and interactive sculpting of shapes using force based tools