# Editing User:Phoenix/GSoc2013/Reports

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** Two approaches come to mind: | ** Two approaches come to mind: | ||

*** If we assume the two surfaces are C-infinity, we can use the theorem 3 in paper http://libgen.org/scimag1/10.1016/S0010-4485%252896%252900099-1.pdf (Thanks to Bryan Bishop). This can be reduced to several curve-surface overlap problems (already implemented) because the overlap region is bounded by surface boundaries. | *** If we assume the two surfaces are C-infinity, we can use the theorem 3 in paper http://libgen.org/scimag1/10.1016/S0010-4485%252896%252900099-1.pdf (Thanks to Bryan Bishop). This can be reduced to several curve-surface overlap problems (already implemented) because the overlap region is bounded by surface boundaries. | ||

− | *** Otherwise, we need to get points inside the overlap region (using surfA->NormalAt(u,v) and surfB->NormalAt(s,t)), and then find the boundary | + | *** Otherwise, we need to get points inside the overlap region (using surfA->NormalAt(u,v) and surfB->NormalAt(s,t)), and then find the boundary. |

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= Test Results = | = Test Results = | ||

Line 436: | Line 177: | ||

** The below are 2D parametric curves. The left is the projection on the plane surface (it's a parabola) and the right is the projection on the parabolic surface (it's some line segments). | ** The below are 2D parametric curves. The left is the projection on the plane surface (it's a parabola) and the right is the projection on the parabolic surface (it's some line segments). | ||

** [[Image:epa_2d_for_plane.png]] [[Image:epa_2d_for_parabola.png]] | ** [[Image:epa_2d_for_plane.png]] [[Image:epa_2d_for_parabola.png]] | ||

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= Original development timeline = | = Original development timeline = |