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We implement for comparative purposes the Feynman algorithm within aC++-based framework for two-layer uniform facet elastic object for real-timesoftbody simulation based on physics modeling methods. To facilitate thecomparison, we implement initial timing measurements on the same hardwareagainst that of Euler integrator in the softbody framework by varying differentalgorithm parameters. Due to a relatively large number of such variations weimplement a GLUI-based user-interface to allow for much more finer control overthe simulation process at real-time, which was lacking completely in theprevious versions of the framework. We show our currents results based on theenhanced framework. The two-layered elastic object consists of inner and outerelastic mass-spring surfaces and compressible internal pressure. The density ofthe inner layer can be set differently from the density of the outer layer; themotion of the inner layer can be opposite to the motion of the outer layer.These special features, which cannot be achieved by a single layered object,result in improved imitation of a soft body, such as tissue's liquidnon-uniform deformation. The inertial behavior of the elastic object is wellillustrated in environments with gravity and collisions with walls, ceiling,and floor. The collision detection is defined by elastic collision penaltymethod and the motion of the object is guided by the Ordinary DifferentialEquation computation. Users can interact with the modeled objects, deform them,and observe the response to their action in real-time and we provide anextensible framework and its implementation for comparative studies ofdifferent physical-based modeling and integration algorithm implementations.

Feynman Algorithm Implementation for Comparison with Euler in a Uniform  Elastic Two-Layer 2D and 3D Object Dynamic Deformation Framework in OpenGL  with GUI