GPU accelerated image processing for everyone

By Robert Haase with code from (Shuai Che: sc5nf@cs.virginia.edu and Kevin Skadron: skadron@cs.virginia.edu)

Gauss Jordan elimination algorithm for solving linear equation systems.

Ent the equation coefficients as an n*n sized image A and an n*1 sized image B:

a(1,1)*x + a(2,1)*y + a(3,1)+z = b(1) a(2,1)*x + a(2,2)*y + a(3,2)+z = b(2) a(3,1)*x + a(3,2)*y + a(3,3)+z = b(3)

The results will then be given in an n*1 image with values [x, y, z].

Adapted from: https://github.com/qbunia/rodinia/blob/master/opencl/gaussian/gaussianElim_kernels.cl L.G. Szafaryn, K. Skadron and J. Saucerman. “Experiences Accelerating MATLAB Systems //Biology Applications.” in Workshop on Biomedicine in Computing (BiC) at the International //Symposium on Computer Architecture (ISCA), June 2009.

Category: Math

```
Ext.CLIJx_gaussJordan(Image A_matrix, Image B_result_vector, Image solution_destination);
```

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//If you use this software or a modified version of it, please cite the most relevant among the following papers:

//

//- M. A. Goodrum, M. J. Trotter, A. Aksel, S. T. Acton, and K. Skadron. Parallelization of Particle Filter Algorithms. In Proceedings

//of the 3rd Workshop on Emerging Applications and Many-core Architecture (EAMA), in conjunction with the IEEE/ACM International

//Symposium on Computer Architecture (ISCA), June 2010.

//

//- S. Che, M. Boyer, J. Meng, D. Tarjan, J. W. Sheaffer, Sang-Ha Lee and K. Skadron.

//”Rodinia: A Benchmark Suite for Heterogeneous Computing”. IEEE International Symposium

//on Workload Characterization, Oct 2009.

//

//- J. Meng and K. Skadron. “Performance Modeling and Automatic Ghost Zone Optimization

//for Iterative Stencil Loops on GPUs.” In Proceedings of the 23rd Annual ACM International

//Conference on Supercomputing (ICS), June 2009.

//

//- L.G. Szafaryn, K. Skadron and J. Saucerman. “Experiences Accelerating MATLAB Systems

//Biology Applications.” in Workshop on Biomedicine in Computing (BiC) at the International

//Symposium on Computer Architecture (ISCA), June 2009.

//

//- M. Boyer, D. Tarjan, S. T. Acton, and K. Skadron. “Accelerating Leukocyte Tracking using CUDA:

//A Case Study in Leveraging Manycore Coprocessors.” In Proceedings of the International Parallel

//and Distributed Processing Symposium (IPDPS), May 2009.

//

//- S. Che, M. Boyer, J. Meng, D. Tarjan, J. W. Sheaffer, and K. Skadron. “A Performance

//Study of General Purpose Applications on Graphics Processors using CUDA” Journal of

//Parallel and Distributed Computing, Elsevier, June 2008.