vriphys07
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Browsing vriphys07 by Subject "Categories and Subject Descriptors (according to ACM CCS): I.3.7 [Computer Graphics]: Three-Dimensional Graphics and Realism"
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Item A Fast and Compact Solver for the Shallow Water Equations(The Eurographics Association, 2007) Lee, Richard; O'Sullivan, Carol; John Dingliana and Fabio GanovelliThis paper presents a fast and simple method for solving the shallow water equations. The water velocity and height variables are collocated on a uniform grid and a novel, unified scheme is used to advect all quantities together. Furthermore, we treat the fluid as weakly compressible to avoid solving a pressure Poisson equation. We sacrifice accuracy and unconditional stability for speed, but we show that our algorithm is sufficiently stable and fast enough for real-time applications.Item Refraction of Water Surface Intersecting Objects in Interactive Environments(The Eurographics Association, 2007) Cords, Hilko; John Dingliana and Fabio GanovelliThis paper presents a rapid method to render dynamic water surfaces with penetrating obstacles in real-time. Taking the surface boundary into account, our method allows the rendering of single reflections and single refractions of objects even intersecting the water surface, including a physically approximative perspective refraction mapping. Thereby, water surfaces are represented as 2.5D height fields and obstacles as polygonal objects. In principle, we determine approximating virtual reflection and refraction eye coordinates. With respect to the water surface, the reflected and refracted objects and parts of objects are projected onto the surface from separate, virtual eye coordinates. Since we are using per-pixel reflection and refraction mapping, our multi-pass, image-based technique is suitable for GPU-based implementations. Moreover, we demonstrate the interactive application of the method for height field based data sets extracted from interactive 3D Smoothed Particle Hydrodynamics (SPH) simulations in real-time. Thereby, the presented approach achieves high frame rates and plausible results.