how can i map a surface on a shape?

hi there

i am working on phased arrays.there is lot's of antennas on a predefined lattice.now i want to map the lattice grid on a cylinder or sphere etc .... it is a 2D to 3D mapping to construct a conformal array. any suggestions could be helpful...D

Answer 1

[Image Analyst]

Perhaps these might be of interest:

http://www.mathworks.com/matlabcentral/fileexchange/28106-texture-patch

Or http://www.mathworks.com/matlabcentral/fileexchange/32207-matlab-3d-figure-to-3d-xhtml

or look at the 66 other entries by Dirk - many of which involve 3D surface rendering: http://www.mathworks.com/matlabcentral/fileexchange/index?term=authorid%3A29180

[Pourya Alinezhad]

i found another way to implement my idea... your links was helpful.thanks .

Answer 2

[Walter Roberson]

Consider using a texture map, which involves setting the CData for a surface or patch object.

If you want to "wrap" something about a shape, I do not recall any tool for that. For such a situation you might want to look at John D'Errico's contribution for "alpha shapes".

[Pourya Alinezhad]

thank you.but i want to consider the rotation of spatial coordinates in mapping... so some closed form formulas might exist there...

Answer 3

[Honglei Chen]

The spacing in a 2D lattice becomes the arc length on a cylindrical surface, so knowing the radius and arclength can help you compute the interspacing angle, thus the coordinates. The sphere case is more challenging and the first question comes up is that, I don't think in general a rectangular grid can be fully mapped on a sphere, just try with a paper and certain parts of the paper never goes on to the sphere surface. So there are some issues you need to solve.

HTH

[Pourya Alinezhad]

perhaps i need to do some mappings in x-y plane with complex mapping to U-V .in this case i can map a deformed rectangular grid on a sphere...