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PIR0<\/h2>\n<\/li>\n<\/ul>\n<\/ul>\n
![\"Three](\"https:\/\/project.inria.fr\/mokabajour\/files\/2016\/10\/sourceCibleTestPIR0.png\")
<\/a>Three test cases for PIR0. 1- Uniform square to uniform disc. 2- Uniform disc to uniform triangle. 3- Uniform square to Lemmy Kilmister portrait.<\/p><\/div>\n
Keeping the notations of the PIR0 configuration schematic<\/a>, the geometrical configuration is as follow:
\n\\(\\displaystyle \\vec{s_1} = \\begin{pmatrix} 1\\\\0\\\\0 \\end{pmatrix}, \\ \\ \\ \\vec{e_{\\eta}} = \\begin{pmatrix} 0\\\\-1\\\\0 \\end{pmatrix}, \\ \\ \\ \\vec{e_{\\xi}} = \\begin{pmatrix} 0\\\\0\\\\1 \\end{pmatrix}, \\ \\ \\ \\vec{n_{p}} = \\begin{pmatrix} -5000\\\\0\\\\0 \\end{pmatrix}\\)
\nThe source support is \\(\\displaystyle [-5, 5]\\times[-5,5]\\) and the target plan support is \\(\\displaystyle [-500, 500]\\times[-500,500]\\).
\nIt is important to choose a large \\(\\displaystyle \\| \\vec{n_p}\\|\\) and a large target plan support compared to the source support to ensure correct far-field conditions, otherwise deformations will occur at the rendering step.
\n <\/p>\n![\"Results](\"https:\/\/project.inria.fr\/mokabajour\/files\/2017\/09\/ResultsTestPIR0.png\")
<\/a>Results of the reflector simulation with Blender. First column is IPFP, second is Semi-Discrete and third is Finite differences. Below each picture are the source and target resolution and the execution time.<\/p><\/div>\n
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PIR1<\/h2>\n<\/li>\n<\/ul>\n<\/ul>\n
![\"Two](\"https:\/\/project.inria.fr\/mokabajour\/files\/2016\/10\/sourceCibleTestPIR1.png\")
<\/a>Two test case for PIR1. In both cases the source is an emission cone of uniform light.<\/p><\/div>\n
The geometrical configuration in these cases is as follow:
\n\\(\\displaystyle \\vec{s_1} = \\begin{pmatrix} 1\\\\0\\\\0 \\end{pmatrix}, \\ \\ \\ \\vec{e_{\\eta}} = \\begin{pmatrix} 0\\\\-1\\\\0 \\end{pmatrix}, \\ \\ \\ \\vec{e_{\\xi}} = \\begin{pmatrix} 0\\\\0\\\\1 \\end{pmatrix}, \\ \\ \\ \\vec{n_{p}} = \\begin{pmatrix} -500\\\\0\\\\0 \\end{pmatrix}\\)
\nThe source opening angle is \\(\\displaystyle \\frac{\\pi}{20}\\) and the target plan support is \\(\\displaystyle [-50, 50]\\times[-50,50]\\).<\/p>\n![\"Results](\"https:\/\/project.inria.fr\/mokabajour\/files\/2016\/10\/ResultsTestPIR1.png\")
<\/a>Results of the PIR1 reflector simulation with Blender.<\/p><\/div>\n
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