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Distributed Multigrid for Processing Huge Spherical Images

Distributed Multigrid for Processing Huge Spherical Images. Michael Kazhdan Johns Hopkins University. Poisson Solvers for Large Image Processing. Streaming Multigri d for Processing Large Images. Solution. Challenge : At 3.3 billion pixels, the system size is 90 GB.

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Distributed Multigrid for Processing Huge Spherical Images

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  1. Distributed Multigrid for Processing Huge Spherical Images Michael Kazhdan Johns Hopkins University

  2. Poisson Solvers for Large Image Processing • Streaming Multigrid for Processing Large Images Solution Challenge: At 3.3 billion pixels, thesystem size is 90 GB Fitting a scalar field to gradients by solving the Poisson equation 3.3 Gigapixels composited from 643 photographs Constraints Solution‡: With a streaming solver, weget a solution in 88 minuteswith a peak memory of 408MB Streaming Pass 1 Streaming Pass 2 ‡Kazhdan and Hoppe, 2008

  3. Streaming Poisson Solvers for Large Image Processing • Distributed, Streaming Multigrid for Processing Huge Image ... Digitized Sky Survey 1790 individual 529-megapixel plates  One terapixel image CPU 1 CPU 2 CPU P Challenge: At one trilllion pixels, we would need: 27 TB of disk space 26,000 minutes 120 GB of memory Solution: With a distributed solver we can split thestorage, memory, and computation.

  4. Distributed, StreamingMultigrid for Processing Huge Spherical Images D A Spherical Image Processing Parameterize the sphere over a regular 2D domain andsolve the Poisson equation over the 2D domain Hierarchical structureenables the use of multigrid solvers B C G F Challenges: 1] Extrinsic Approach: does not accountfor distortion due to the parameterization. 2] Intrinsic Approach: defines a systemthat is inhomogenous and difficult to solve. Solutions: 1] Extrinsic Approach: choose a mapping to a2D domain that is less distorting. [Kunszt et al.] 2] Intrinsic Approach: adapt the system toaccount for the in-homogeneity. H E N N S S S N S S

  5. Distributed, StreamingMultigrid for Processing Huge Spherical Images Conclusion We will explore the implementation of distributed and streamingsolvers capable of processing planar and spherical imagery. • Computational Scope: • Processing terapixel imageryon large networked clusters • Processing gigapixel imageryon multi-core machines • Processing megapixelimagery on the GPU. • Theoretical Scope: • Solve the homogenousPoisson equation • Incorporate non-trivialboundary conditions • Extend to inhomogenous systems via alg. multigrid • Empirical Scope: • Image processing • Video processing • Level sets • Incompressible fluids • Atmospherical dynamics

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