surface_plot_step.cpp File Reference

Surface with a step discontinuity along a curve. More...

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Detailed Description

Surface with a step discontinuity along a curve.

Author

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

Date

2024-07-16

Standards

C++23

Copyright

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

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Details

The function illustrated here is defined on the entire plan, but has a step discontinuity on the unit circle. Except on the unit circle, the function's derivative is zero. If we sample on a uniform grid, some of the resulting polygons will have vertexes both inside and outside the unit circle – they cross over the discontinuity! When drawn we get a continuous surface with a circular bump! It should look like the x-y plane has a circle cut out that is hovering one unit above the plane.

• How to drive up the sample rate near a particular SDF – so that we get higher resolution where the surface meets the plane.
• How to delete triangles that cross over a discontinuity – via an SDF.

Definition in file surface_plot_step.cpp.