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This paper presents a parallel architecture for the solution of linear equations based on the division free Gaussian elimination method is presented. This architecture can handle single and double data that follows the IEEE standard 754 for floating-point data. Also, it can be implemented in a FPGA Spartan 3 of Xilinx. The mathematical algorithm is implemented in an array of processors. The main procedure...
We present a fast gradient domain video compositing using hierarchical data structure which subdivides the compositing region into an octree data. To handle large video compositing by solving a 3D Poisson equation, the derived linear system is usually large. To solve the system requires large memory space and long computational time, which makes it intractable on a standard computer. To address the...
This article addresses the fast solution of a Quadratic Program underlying a Linear Model Predictive Control scheme that generates walking motions. We introduce an algorithm which is tailored to the particular requirements of this problem, and therefore able to solve it efficiently. Different aspects of the algorithm are examined, its computational complexity is presented, and a numerical comparison...
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