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how can i map a surface on a shape?

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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

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Accepted Answer

Image Analyst
Image Analyst on 19 Oct 2013

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Pourya Alinezhad
Pourya Alinezhad on 21 Oct 2013
i found another way to implement my idea... your links was helpful.thanks .

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More Answers (2)

Walter Roberson
Walter Roberson on 18 Oct 2013
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".

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Pourya Alinezhad
Pourya Alinezhad on 21 Oct 2013
thank you.but i want to consider the rotation of spatial coordinates in mapping... so some closed form formulas might exist there...

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Honglei Chen
Honglei Chen on 18 Oct 2013
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

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Pourya Alinezhad
Pourya Alinezhad on 21 Oct 2013
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...

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