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Abstract

In this paper, we introduce a 3D fluid dynamics solver for real-time rendering in virtual environment.
We approach the solution of differential equations based on the constrained interpolation propagation
(CIP) technique on a GPU. Since the CIP combine the solution for fluid equations and their interactions with
the environment together, the Navier-Stokes equation can be solved efficiently. Furthermore, to achieve high
performance results for real time rendering without involving a supercomputer, we take advantages of the
parallelism and programmability on the GPU. The rendering is performed on pixels that can be considered to
be a grid of cells; thus, processing on multiple vertices and pixels can be done simultaneously in parallel. This
strategy is effective enough to render fluid dynamic model for real-time virtual cutting in 3D computer generated
object. Experimental results demonstrate that the rendering of skin cutting followed by blood flowing over the
anatomical surface run smoothly in a real-time for virtual reality interaction.

Keywords: Cutting simulation, fluid dynamic, real time rendering, virtual surgery.

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