Parallel algorithms for sparse linear systems
SIAM Review
Iterative solution methods
A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
Journal of the ACM (JACM)
A survey of out-of-core algorithms in numerical linear algebra
External memory algorithms
A multigrid tutorial (2nd ed.)
A multigrid tutorial (2nd ed.)
Gradient domain high dynamic range compression
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part IV
ACM SIGGRAPH 2003 Papers
Interactive digital photomontage
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Removing photography artifacts using gradient projection and flash-exposure sampling
ACM SIGGRAPH 2005 Papers
Removing photography artifacts using gradient projection and flash-exposure sampling
ACM SIGGRAPH 2005 Papers
An Algebraic Approach to Surface Reconstruction from Gradient Fields
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 - Volume 01
ACM SIGGRAPH 2006 Papers
Locally adapted hierarchical basis preconditioning
ACM SIGGRAPH 2006 Papers
Efficient gradient-domain compositing using quadtrees
ACM SIGGRAPH 2007 papers
ACM SIGGRAPH 2007 papers
Reconstruction of solid models from oriented point sets
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Poisson surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Multilevel streaming for out-of-core surface reconstruction
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Streaming multigrid for gradient-domain operations on large images
ACM SIGGRAPH 2008 papers
Real-time gradient-domain painting
ACM SIGGRAPH 2008 papers
Parallel ODETLAP for terrain compression and reconstruction
Proceedings of the 16th ACM SIGSPATIAL international conference on Advances in geographic information systems
Coordinates for instant image cloning
ACM SIGGRAPH 2009 papers
Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
Distributed gradient-domain processing of planar and spherical images
ACM Transactions on Graphics (TOG)
Interactive editing of massive imagery made simple: Turning Atlanta into Atlantis
ACM Transactions on Graphics (TOG)
What is the range of surface reconstructions from a gradient field?
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Streaming-enabled parallel dataflow architecture for multicore systems
EuroVis'10 Proceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization
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Gradient domain processing remains a particularly computationally expensive technique even for relatively small images. When images become massive in size, giga or terapixel, these problems become particularly troublesome and the best serial techniques take on the order of hours or days to compute a solution. In this paper, we provide a simple framework for the parallel gradient domain processing. Specifically, we provide a parallel out-of-core method for the seamless stitching of gigapixel panoramas in a parallel MPI environment. Unlike existing techniques, the framework provides both a straightforward implementation, maintains strict control over the required/allocated resources, and makes no assumptions on the speed of convergence to an acceptable image. Furthermore, the approach shows good weak/strong scaling from several to hundreds of cores and runs on a variety of hardware.