Volumetric Subdivision (VS) is a powerful paradigm that enables volumetric sculpting and realistic volume deformations that give rise to the concept of "virtual clay". In VS, volumes are commonly represented as a space-filling set of deformed polyhedra, which can be further decomposed into a mesh of tetrahedra for rendering. Images can then be generated via tetrahedral projection or raycasting. A current shortcoming in VS-based operations is the need for a very high level of subdivision to represent fine detail in the mesh and to obtain a high-fidelity visualization. However, we have discovered that the subdivision process itself can be closely simulated with radial basis functions (RBFs), making it possible to replace the finer subdivision levels by a coarser aggregation of RBF kernels. This reduction to a simplified assembly of RBFs subsequently enables interactive rendering of volumetric subdivision shapes within a GPU-based volume splatting framework.

We describe a novel volumetric global illumination framework based on the Face-Centered Cubic (FCC) lattice. An FCC lattice has important advantages over a Cartesian lattice. It has higher packing density in the frequency domain, which translates to better sampling efficiency. Furthermore, it has the maximal possible kissing number (equivalent to the number of nearest neighbors of each site), which provides optimal 3D angular discretization among all lattices. We employ a new two-pass (illumination and rendering) global illumination scheme on an FCC lattice. This scheme exploits the angular discretization to greatly simplify the computation in multiple scattering and to minimize illumination information storage. The GPU has been utilized to further accelerate the rendering stage. We demonstrate our new framework with participating media and volume rendering with multiple scattering, where both are significantly faster than traditional techniques with comparable quality.

Radial Basis Functions (RBFs) have become a popular rendering primitive, both in surface and in volume rendering. This paper focuses on volume visualization, giving rise to 3D kernels. RBFs are especially convenient for the representation of scattered and irregularly distributed point samples, where the RBF kernel is used as a blending function for the space in between samples. Common representations employ radially symmetric RBFs, and various techniques have been introduced to render these, also with efficient implementations on programmable graphics hardware (GPUs). In this paper, we extend the existing work to more generalized, ellipsoidal RBF kernels, for the rendering of scattered volume data. We devise a post-shaded kernel-centric rendering approach, specifically designed to run efficiently on GPUs, and we demonstrate our renderer using datasets from subdivision volumes and computational science.

Net-dbx-G is a tool that utilizes Java and other World Wide Web tools as an interface to Grid services to help Grid application developers debug their MPI programs from anywhere in the Internet. Net-dbx-G is a source level debugger with the full power of gdb (the GNU Debugger), providing the user with full Grid functionality. The portability of the tool is of great importance as well because it enables the tool to be used on heterogeneous nodes that participate in an MPI enabled, Grid environment. The users of our system simply point their browser to the Net-dbx-G webpage and authenticate to the virtual organization that they are part of. Having at their disposal the shared resources participating with that VO, they start debugging by interacting with the provided GUI environment of the tool. The users can dynamically select which MPI processes to view/debug.

This paper describes Net-dbx, a tool that utilizes Java and other World Wide Web tools for the debugging of MPI programs from anywhere in the Internet. Net-dbx is a source-level interactive debugger with the full power of gdb (the GNU Debugger) augmented with the debug functionality of the public-domain MPI implementation environments. The main effort was on a low overhead, yet powerful, graphical interface supported by low-bandwidth connections. The portability of the tool is of great importance as well because it enables the tool to be used on heterogeneous nodes that participate in an MPI multicomputer. Both needs are satisfied a great deal by the use of WWW browsing tools and the Java programming language. The user of our system simply points his/her browser to the Net-dbx page, logs in to the destination system, and starts debugging by interacting with the tool, just as with any GUI environment. The user can dynamically select which MPI processes to view/debug. A special WWW-based environment has been designed and implemented to host the system prototype.