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Figure 1: Which rendering would you prefer? (from left to right) (a) Input triangulation, (b) Gouraud shaded input triangulation, (c) geometric component of the PN triangles (shaded according to surface normal variation) (d) curved PN triangles (shaded with independently constructed quadratically varying normals). Abstract To improve the visual quality of(More)
We show how to efficiently smooth a polygon with an approximating spline that stays to one side of the polygon. We also show how to find a smooth spline path between two polygons that form a channel. Problems of this type arise in many physical motion planning tasks where not only forbidden regions have to be avoided but also a smooth traver-sal of tbe(More)
Buried water molecules constitute a highly conserved, integral part of nearly all known protein structures. Such water molecules exchange with external solvent as a result of protein conformational fluctuations. We report here the results of water (17)O and (2)H magnetic relaxation dispersion measurements on wild-type and mutant bovine pancreatic trypsin(More)
By organizing the control mesh of subdivision in texture memory so that irregularities occur strictly inside independently refinable fragment meshes, all major features of subdivision algorithms can be realized in the framework of highly parallel stream processing. Our implementation of Catmull-Clark subdivision as a GPU kernel in programmable graphics(More)
4-3 direction subdivision combines quad and triangle meshes. On quad submeshes it applies a 4-direction alternative to Catmull-Clark subdivision and on triangle submeshes a modification of Loop's scheme. Remarkably, 4-3 surfaces can be <i>proven to be C<sup>1</sup> and have bounded curvature everywhere</i>. In regular mesh regions, they are(More)
We introduce and analyze an efficient reconstruction algorithm for FCC-sampled data. The reconstruction is based on the 6-direction box spline that is naturally associated with the FCC lattice and shares the continuity and approximation order of the triquadratic B-spline. We observe less aliasing for generic level sets and derive special techniques to(More)
We consider an abstract parameter dependent saddle-point problem and present a general framework for analyzing robust Schur complement preconditioners. The abstract analysis is applied to a generalized Stokes problem , which yields robustness of the Cahouet-Chabard preconditioner. Motivated by models for two-phase incompressible flows we consider a(More)