How can I generate a mesh of quadrilaterals for a given 2D surface using MATLAB?

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Ahmed Hossam
Ahmed Hossam 2017-3-29
评论： Ahmed Hossam 2017-4-6
Does somebody know, how to simply and theoretically generate a mesh of quadrilaterals on a given surface?
The surface is in the x,y-plane and might also have curved borders.
I have searched on google and found like tons and tons of informations and also free software to take over this Job, but I really would like to know, how I can generate a mesh of quadrilateral elements which corresponds to a given surface just on my own.
So where is the best place to start? I need to develop my own understanding and also my own spaghetti code for this task.
Given the borders of and the interior of a 2D surface, how or where should I start in order to get my 'new' vertices on the interior of the surface? How do I know, how many quadrilateral elements and corresponding vertices do I need?
Thank you for your help and support in advance.
Regards
Ahmed Hossam

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KSSV
KSSV 2017-3-31
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Ahmed Hossam
Ahmed Hossam 2017-4-1
What I need is the detailed mathematical theory of the transfinite interpolation in order for me to be able to generate my own code based on this theory.

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