How do I make surface plots with many NaN's in my matrix?

So I have a matrix of data that I'm trying to plot on the z-axis of a surface plot. However, it is populated with NaN's where I do not want data points to be plotted. This results in surface plots that look like this:

It looks like a surface should fit over those points, but surf is having a hard time filling in the areas with color. I'm doing

surf(p1,q1,F1,'EdgeColor','interp','FaceColor','interp')

where F1 is my matrix with NaN's. Any ideas on how to make this work?

Answer 1

[Star Strider]

The fillmissing (link) function may be what you want. See specifically Matrix with Missing Endpoints (link).

[Alex Foster]

I hadn't thought about just interpolating for the NaN's this way, but it works out pretty great. Thanks!

[Star Strider]

As always, my pleasure!