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Numerical Analysis News

The latest Numerical Analysis coverage curated for game developers.

Matrix-Free Multigrid with Algebraically Consistent Coarsening on Adaptive Octrees

A new matrix-free GPU multigrid preconditioner offers significant performance improvements for solving Poisson equations on adaptive octree grids. This innovation, achieving over 200 million cells per second on a single …

Research arXiv cs.GR · 4 months, 4 weeks ago
Evaluation of Gauss-Legendre curves

The introduction of efficient $O(n^2+dn)$ methods for evaluating Gauss-Legendre curves could significantly streamline numerical analysis in graphics programming. This advancement allows for better performance in rendering and simulations, making it …

Research arXiv cs.GR · 4 months, 4 weeks ago
Thin Plate Spline Surface Reconstruction via the Method of Matched Sections

The Method of Matched Sections (MMS) offers a new approach to surface modeling, crucial for graphics programmers and designers. This method ensures continuity in variational parameters, enhancing the quality of …

Research arXiv cs.GR · 6 months, 3 weeks ago