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Blender's remesh tool produces a mesh of quad faces, but the vertices range from 3 to 5 connected edges. For example:

enter image description here

I'd like to be able to remesh so that every vertex has 4 connected edges, so that the mesh is a simple grid. This would be an easier topology for me to work with.

Is there a way to do that? If so, why doesn't remesh do that by default? If it isn't possible, what's the difficulty?

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  • $\begingroup$ I can't see from the image exactly what you are trying to remesh, but you might be better using a projected shrink-wrap modifier. Sorry not to have a more direct answer. $\endgroup$ – Christy James Mar 21 '15 at 17:08
  • $\begingroup$ I shrinkwrapped a pointcloud (lidar data from a fumarolic ice cave on an antarctic volcano). The shrinkwrapping caused serious distortions in the mesh, so I'm remeshing and the remeshed shrinkwrap is what's pictured above. You're right that the vertex to edge connectivity is actually exactly what I want after the shrinkwrapping (for a grid, I'd start with a subdivided cube). However, I need to remesh in order to eliminate the mesh density and distortion problems, and remeshing leaves me with this undesirable topology. $\endgroup$ – foobarbecue Mar 21 '15 at 17:28
  • $\begingroup$ @foobarbecue try Remove_Doubles with small distance(to eliminate small faces ) then convert to quads again (to eliminate resulting tris) $\endgroup$ – Chebhou Mar 21 '15 at 19:21
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The Remesh modifier only generates quads.
If you need proof, select your object and with the remesh modifier applied, run this script.

import bpy

for polygon in bpy.context.object.data.polygons:
    print(len(polygon.vertices))

It will print out the number of vertices for each face in the selected object.

Even for areas that look like triangles, they really are quads just with vertices doubled up. In this gif, I move two vertices that are doubled up in a mesh with the remesh modifier applied.
animated gif

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    $\begingroup$ the problem was not in the quads, it is in the vertices shared between more than 4 quads , he wants a grid-like mesh $\endgroup$ – Chebhou Mar 21 '15 at 21:53

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