Conformal map via circle packing

by Daniel Piker

Oct 23, 2013

Remeshing, circle packing optimization used to generate a conformal mapping. Top left is the original shape remeshed and circle packed. Right is a mesh with the same connectivity pulled to a new boundary, while preserving the circle packing. This allows the mapping (using some mesh mapping tools from the new Kangaroo) of a grid from one mesh to the other while preserving angles.

  • taz

    Conformational mapping coolness!  I remember seeing a paper where researchers used this to map the brain.  Something like from this presentation:

    http://www.math.fsu.edu/~mhurdal/presentations/ipam0704/stephenson_... 

    Oct 23, 2013

  • maarten

    Dear Daniel,

    I am new with grasshopper. I understand the basics. Now I want to create a sphere with a circle packing around it. So the circle packing is closed and when you turn around the sphere you only see circles. Could you help me with this project?

    Thank you in advance for your reply.

    Kind regards,

    Maarten Groot

    Apr 11, 2014

  • Ethan Gross

    Hi Daniel,

    Would you happen to have a definition for this you can share? Given its angle-preserving properties, this is ideal for mapping designs/patterns while minimizing distortion.

    Thanks,

    Ethan Gross

    Jun 20, 2015