Sample-based shaping from 2D triangle mesh #1393
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A user has requested that we extend our sample-based shaping capability to include shaping from a 2D STL triangle mesh, i.e. a triangle mesh where all the triangles lie in the XY plane.
One strategy might be to use a spatial index like a BVH tree to find the candidate triangles for a given point and then check
Triangle::checkInTriangle(Point). We can use a similar strategy for In/Out queries on a Tetrahedral mesh in 3D.A different strategy might be to extrude the 2D triangle mesh in the z-direction and use our existing In/Out capability for watertight 3D STL meshes.
axom/src/axom/primal/geometry/Triangle.hpp
Lines 340 to 356 in b5fa221
Example meshes might look like:
solid STL generated by MeshLab facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.832074e-01 1.920779e-01 0.000000e+00 vertex 4.533584e-01 2.114626e-01 0.000000e+00 vertex 4.585903e-01 1.868454e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.832074e-01 1.920779e-01 0.000000e+00 vertex 4.779753e-01 2.166951e-01 0.000000e+00 vertex 4.533584e-01 2.114626e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 -0.000000e+00 1.000000e+00 outer loop vertex 4.832074e-01 1.920779e-01 0.000000e+00 vertex 5.000000e-01 1.956473e-01 0.000000e+00 vertex 4.779753e-01 2.166951e-01 0.000000e+00 endloop endfacet facet normal -0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.779753e-01 2.166951e-01 0.000000e+00 vertex 5.000000e-01 1.956473e-01 0.000000e+00 vertex 5.000000e-01 2.213766e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 -0.000000e+00 1.000000e+00 outer loop vertex 4.533584e-01 2.114626e-01 0.000000e+00 vertex 4.779753e-01 2.166951e-01 0.000000e+00 vertex 4.377996e-01 2.846608e-01 0.000000e+00 endloop endfacet facet normal -0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.377996e-01 2.846608e-01 0.000000e+00 vertex 4.779753e-01 2.166951e-01 0.000000e+00 vertex 4.624165e-01 2.898933e-01 0.000000e+00 endloop endfacet facet normal -0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.325671e-01 3.092778e-01 0.000000e+00 vertex 4.624165e-01 2.898933e-01 0.000000e+00 vertex 4.571840e-01 3.145103e-01 0.000000e+00 endloop endfacet facet normal -0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.170085e-01 3.824754e-01 0.000000e+00 vertex 4.571840e-01 3.145103e-01 0.000000e+00 vertex 4.416254e-01 3.877079e-01 0.000000e+00 endloop endfacet facet normal -0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.117759e-01 4.070927e-01 0.000000e+00 vertex 4.416254e-01 3.877079e-01 0.000000e+00 vertex 4.363928e-01 4.123252e-01 0.000000e+00 endloop endfacet facet normal -0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 3.962174e-01 4.802899e-01 0.000000e+00 vertex 4.363928e-01 4.123252e-01 0.000000e+00 vertex 4.208343e-01 4.855224e-01 0.000000e+00 endloop endfacet facet normal -0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 3.679006e-01 5.000000e-01 0.000000e+00 vertex 4.208343e-01 4.855224e-01 0.000000e+00 vertex 4.889460e-01 5.000000e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 3.679006e-01 5.000000e-01 0.000000e+00 vertex 3.962174e-01 4.802899e-01 0.000000e+00 vertex 4.208343e-01 4.855224e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 3.679006e-01 5.000000e-01 0.000000e+00 vertex 3.230193e-01 4.647312e-01 0.000000e+00 vertex 3.962174e-01 4.802899e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 3.679006e-01 5.000000e-01 0.000000e+00 vertex 3.177871e-01 4.893481e-01 0.000000e+00 vertex 3.230193e-01 4.647312e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 3.230193e-01 4.647312e-01 0.000000e+00 vertex 3.177871e-01 4.893481e-01 0.000000e+00 vertex 2.931700e-01 4.841155e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 2.984022e-01 4.594987e-01 0.000000e+00 vertex 2.931700e-01 4.841155e-01 0.000000e+00 vertex 2.199721e-01 4.685568e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 2.252045e-01 4.439403e-01 0.000000e+00 vertex 2.199721e-01 4.685568e-01 0.000000e+00 vertex 1.953548e-01 4.633242e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 2.005872e-01 4.387077e-01 0.000000e+00 vertex 1.953548e-01 4.633242e-01 0.000000e+00 vertex 1.221569e-01 4.477656e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 1.273894e-01 4.231490e-01 0.000000e+00 vertex 1.221569e-01 4.477656e-01 0.000000e+00 vertex 9.754005e-02 4.425331e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 1.027725e-01 4.179165e-01 0.000000e+00 vertex 9.754005e-02 4.425331e-01 0.000000e+00 vertex 2.957516e-02 4.023580e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 -0.000000e+00 1.000000e+00 outer loop vertex 1.027725e-01 4.179165e-01 0.000000e+00 vertex 1.273894e-01 4.231490e-01 0.000000e+00 vertex 9.754005e-02 4.425331e-01 0.000000e+00 endloop endfacet facet normal -0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 1.027725e-01 4.179165e-01 0.000000e+00 vertex 1.429480e-01 3.499516e-01 0.000000e+00 vertex 1.273894e-01 4.231490e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 1.027725e-01 4.179165e-01 0.000000e+00 vertex 1.183309e-01 3.447191e-01 0.000000e+00 vertex 1.429480e-01 3.499516e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 1.429480e-01 3.499516e-01 0.000000e+00 vertex 1.183309e-01 3.447191e-01 0.000000e+00 vertex 1.235642e-01 3.201019e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 1.481803e-01 3.253342e-01 0.000000e+00 vertex 1.235642e-01 3.201019e-01 0.000000e+00 vertex 1.637390e-01 2.521366e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 1.481803e-01 3.253342e-01 0.000000e+00 vertex 1.429480e-01 3.499516e-01 0.000000e+00 vertex 1.235642e-01 3.201019e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 -0.000000e+00 1.000000e+00 outer loop vertex 1.481803e-01 3.253342e-01 0.000000e+00 vertex 2.213784e-01 3.408929e-01 0.000000e+00 vertex 1.429480e-01 3.499516e-01 0.000000e+00 endloop endfacet facet normal -0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 1.429480e-01 3.499516e-01 0.000000e+00 vertex 2.213784e-01 3.408929e-01 0.000000e+00 vertex 2.161458e-01 3.655103e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 2.161458e-01 3.655103e-01 0.000000e+00 vertex 2.213784e-01 3.408929e-01 0.000000e+00 vertex 2.459953e-01 3.461254e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 2.407631e-01 3.707428e-01 0.000000e+00 vertex 2.459953e-01 3.461254e-01 0.000000e+00 vertex 3.191933e-01 3.616841e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 3.139608e-01 3.863015e-01 0.000000e+00 vertex 3.191933e-01 3.616841e-01 0.000000e+00 vertex 3.438102e-01 3.669166e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 3.385779e-01 3.915340e-01 0.000000e+00 vertex 3.438102e-01 3.669166e-01 0.000000e+00 vertex 4.170085e-01 3.824754e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.117759e-01 4.070927e-01 0.000000e+00 vertex 4.170085e-01 3.824754e-01 0.000000e+00 vertex 4.416254e-01 3.877079e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.117759e-01 4.070927e-01 0.000000e+00 vertex 3.385779e-01 3.915340e-01 0.000000e+00 vertex 4.170085e-01 3.824754e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 -0.000000e+00 1.000000e+00 outer loop vertex 4.624165e-01 2.898933e-01 0.000000e+00 vertex 5.000000e-01 2.978819e-01 0.000000e+00 vertex 4.571840e-01 3.145103e-01 0.000000e+00 endloop endfacet facet normal -0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.571840e-01 3.145103e-01 0.000000e+00 vertex 5.000000e-01 2.978819e-01 0.000000e+00 vertex 5.000000e-01 3.236111e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 -0.000000e+00 1.000000e+00 outer loop vertex 4.416254e-01 3.877079e-01 0.000000e+00 vertex 5.000000e-01 4.001158e-01 0.000000e+00 vertex 4.363928e-01 4.123252e-01 0.000000e+00 endloop endfacet facet normal -0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.363928e-01 4.123252e-01 0.000000e+00 vertex 5.000000e-01 4.001158e-01 0.000000e+00 vertex 5.000000e-01 4.258453e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 3.177871e-01 4.893481e-01 0.000000e+00 vertex 3.155229e-01 5.000000e-01 0.000000e+00 vertex 2.931700e-01 4.841155e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 -0.000000e+00 1.000000e+00 outer loop vertex 2.931700e-01 4.841155e-01 0.000000e+00 vertex 3.155229e-01 5.000000e-01 0.000000e+00 vertex 2.897936e-01 5.000000e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 2.199721e-01 4.685568e-01 0.000000e+00 vertex 2.132887e-01 5.000000e-01 0.000000e+00 vertex 1.953548e-01 4.633242e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 -0.000000e+00 1.000000e+00 outer loop vertex 1.953548e-01 4.633242e-01 0.000000e+00 vertex 2.132887e-01 5.000000e-01 0.000000e+00 vertex 1.875591e-01 5.000000e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 1.221569e-01 4.477656e-01 0.000000e+00 vertex 1.110542e-01 5.000000e-01 0.000000e+00 vertex 9.754005e-02 4.425331e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 -0.000000e+00 1.000000e+00 outer loop vertex 9.754005e-02 4.425331e-01 0.000000e+00 vertex 1.110542e-01 5.000000e-01 0.000000e+00 vertex 8.532508e-02 5.000000e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 9.754005e-02 4.425331e-01 0.000000e+00 vertex 2.434200e-02 4.269744e-01 0.000000e+00 vertex 2.957516e-02 4.023580e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 2.957516e-02 4.023580e-01 0.000000e+00 vertex 2.434200e-02 4.269744e-01 0.000000e+00 vertex 4.958259e-03 3.971255e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.513375e-02 3.291605e-01 0.000000e+00 vertex 4.958259e-03 3.971255e-01 0.000000e+00 vertex 2.051685e-02 3.239280e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 5.036632e-02 3.045432e-01 0.000000e+00 vertex 2.051685e-02 3.239280e-01 0.000000e+00 vertex 2.574921e-02 2.993107e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 6.592495e-02 2.313456e-01 0.000000e+00 vertex 2.574921e-02 2.993107e-01 0.000000e+00 vertex 4.130785e-02 2.261130e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 7.115727e-02 2.067284e-01 0.000000e+00 vertex 4.130785e-02 2.261130e-01 0.000000e+00 vertex 4.654017e-02 2.014959e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 8.671600e-02 1.335304e-01 0.000000e+00 vertex 4.654017e-02 2.014959e-01 0.000000e+00 vertex 6.209889e-02 1.282978e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 9.194852e-02 1.089133e-01 0.000000e+00 vertex 6.209889e-02 1.282978e-01 0.000000e+00 vertex 6.733142e-02 1.036807e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 8.819918e-03 5.000000e-01 0.000000e+00 vertex 0.000000e+00 5.000000e-01 0.000000e+00 vertex 2.434200e-02 4.269744e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 2.434200e-02 4.269744e-01 0.000000e+00 vertex 0.000000e+00 5.000000e-01 0.000000e+00 vertex 0.000000e+00 3.960716e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 -0.000000e+00 1.000000e+00 outer loop vertex 4.958259e-03 3.971255e-01 0.000000e+00 vertex 2.434200e-02 4.269744e-01 0.000000e+00 vertex 0.000000e+00 3.960716e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 2.051685e-02 3.239280e-01 0.000000e+00 vertex 0.000000e+00 3.195671e-01 0.000000e+00 vertex 2.574921e-02 2.993107e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 2.574921e-02 2.993107e-01 0.000000e+00 vertex 0.000000e+00 3.195671e-01 0.000000e+00 vertex 0.000000e+00 2.938375e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.130785e-02 2.261130e-01 0.000000e+00 vertex 0.000000e+00 2.173328e-01 0.000000e+00 vertex 4.654017e-02 2.014959e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.654017e-02 2.014959e-01 0.000000e+00 vertex 0.000000e+00 2.173328e-01 0.000000e+00 vertex 0.000000e+00 1.916035e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 6.209889e-02 1.282978e-01 0.000000e+00 vertex 0.000000e+00 1.150983e-01 0.000000e+00 vertex 6.733142e-02 1.036807e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 6.733142e-02 1.036807e-01 0.000000e+00 vertex 0.000000e+00 1.150983e-01 0.000000e+00 vertex 0.000000e+00 8.936900e-02 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.533584e-01 2.114626e-01 0.000000e+00 vertex 3.801599e-01 1.959038e-01 0.000000e+00 vertex 4.585903e-01 1.868454e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.585903e-01 1.868454e-01 0.000000e+00 vertex 3.801599e-01 1.959038e-01 0.000000e+00 vertex 3.853924e-01 1.712867e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 3.853924e-01 1.712867e-01 0.000000e+00 vertex 3.801599e-01 1.959038e-01 0.000000e+00 vertex 3.555430e-01 1.906713e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 3.607755e-01 1.660542e-01 0.000000e+00 vertex 3.555430e-01 1.906713e-01 0.000000e+00 vertex 2.823449e-01 1.751126e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 2.875775e-01 1.504955e-01 0.000000e+00 vertex 2.823449e-01 1.751126e-01 0.000000e+00 vertex 2.577286e-01 1.698802e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 2.629611e-01 1.452631e-01 0.000000e+00 vertex 2.577286e-01 1.698802e-01 0.000000e+00 vertex 1.845310e-01 1.543216e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 1.897635e-01 1.297045e-01 0.000000e+00 vertex 1.845310e-01 1.543216e-01 0.000000e+00 vertex 1.599138e-01 1.490891e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 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3.230193e-01 4.647312e-01 0.000000e+00 vertex 2.931700e-01 4.841155e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 3.962174e-01 4.802899e-01 0.000000e+00 vertex 4.117759e-01 4.070927e-01 0.000000e+00 vertex 4.363928e-01 4.123252e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 3.853924e-01 1.712867e-01 0.000000e+00 vertex 3.555430e-01 1.906713e-01 0.000000e+00 vertex 3.607755e-01 1.660542e-01 0.000000e+00 endloop endfacet facet normal 0.000000e+00 0.000000e+00 1.000000e+00 outer loop vertex 4.170085e-01 3.824754e-01 0.000000e+00 vertex 4.325671e-01 3.092778e-01 0.000000e+00 vertex 4.571840e-01 3.145103e-01 0.000000e+00 endloop endfacet endsolid vcgThe text was updated successfully, but these errors were encountered: