ear_surface_glue.cpp File Reference

Mirroring & gluing surfaces together. More...

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Detailed Description

Mirroring & gluing surfaces together.

Author

Mitch Richling http://www.mitchr.me/

Date

2024-08-18

Standards

C++23

Copyright

Copyright (c) 2024, Mitchell Jay Richling http://www.mitchr.me/ All rights reserved.

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

1. Redistributions of source code must retain the above copyright notice, this list of conditions, and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions, and the following disclaimer in the documentation and/or other materials provided with the distribution.
3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

Details

This example illustrates the same object as ear_surface.cpp, but uses a different strategy to generate the triangulation. For reference, the surface we are interested in is defined by the zeros of the following polynomial:

\[ x^2-y^2*z^2+z^3 \]

In ear_surface.cpp we used a mesh of cubes covering a 3D region, and extracted the triangulation as a contour surface. In this example, we solve this equation for \(x\) giving us two surfaces:

\[ +z\cdot\sqrt{y^2-z} \]

\[ -z\cdot\sqrt{y^2-z} \]

As in the example surface_plot_edge.cpp, we use the NaN solver to flesh the surface out so that it hits the X plane. And as in surface_branch_glue.cpp, we then glue the two surfaces together.

Definition in file ear_surface_glue.cpp.