How to integrate the data from contour over a surface?

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Hi all,
I would like to get data from a contour image, and do surface integral about the data. Since the color means value of the data, I think the color can be related to values.
For example, circulation defined as surface integral of the vorticity, and I have a contour image of the vorticity field.
If the attached image is a vorticity field, is there a way to extract the boundary and do the integration?
Thank you,
Rojo
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Walter Roberson
Walter Roberson 2016-10-18
What form is the data in? Is it an image file? Is it a contour object? Is the original data available?

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