How to best connect weak edges?

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Naim 2017-7-7

关闭： John D'Errico 2017-7-7

see attached photos. I want to reliably and robustly close the edges so that I consistantly get that ellipse in the middle.

I tried morphology but it meshes the lines to the ones outside the oval.

let me know and thanks to all the people of mathworks for all the help!

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