How to convert 3D model to parametric surface?
I have bunny mesh with vertices(array(5197*3)) and faces(array(10390*3)), how to convert it to parametric surface such as
a=1; b=1; c=1;
u=linspace(-2,2,256);
v=linspace(0,2*pi,256);
[u,v]=meshgrid(u,v);
% Calculate x, y,a dn z at each pair % (u, v) in the grid.
x=a*cosh(u).*cos(v);
y=b*cosh(u).*sin(v);
z=c*sinh(u);
Hi!
You may use Kohonen Maps, also known as Self Organizing Maps (SOM), which have proven to be very useful in representing multidimensional data in 1 or 2D spaces. I attached two files to provide you with a quickstart about this topic.
I hope it helps!
Hi,
There are many approaches for this case. The easiest one might be computing the velocity field on the given point cloud, unstructured mesh or images using Pottmann equation [Pottmann, Lee, and Randrup, 98]. Moreover, the Poisson equation can be used well [M. Kazhdan and H. Hoppe. Screened poisson surface reconstruction. ACM Transactions on Graphics (TOG), 32(3):29, 2013.].
Best of luck!
In google search for "Mesh Parameterization", and you will find lots of papers on this topic.
It depends on the kind of data you have and there are a variety of possiblities; I suggest the you take a look at the book of Farin: Curves and Surfaces in CAGD.
I hope this helps. Abedallah Rababah
Best way would be to use Surface Mesh Parametrisation package of CGAL C++ library. It has got various examples as well. For your purpose I think square mesh parameterisation suits the best.
https://doc.cgal.org/latest/Surface_mesh_parameterization/group__PkgSurfaceParameterization.html
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