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Helmholtz-Hodge decomposition (vector field = exact + coexact + harmonic)

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Surface Vector Field Decomposition

This project is a downstream application based on MagicView, a minimalistic OpenGL GUI for viewing 3D models.

For a input smooth piece-wise constant vector field defined on each face of triangle mesh, this project can decompose the vector field into the exact component (curl-free), coexact component (divergence-free) and harmonic component (curl-free and divergence-free).

Example

This figure shows an input vector field. alt text

This figure shows the exact component (Curl-free). alt text

This figure shows the coexact component (Divergence-free). alt text

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Helmholtz-Hodge decomposition (vector field = exact + coexact + harmonic)

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  • C++ 86.0%
  • Fortran 9.0%
  • CMake 2.2%
  • C 1.6%
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