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heightmaps: algorithm to create trianglestrips for well formed triangle patches

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I divide a huge heightmap into smaller areas, and later on want to create a multi-resolution structure from it. I end up with chunks of right angled triangles that define the sampling area for heightmap's pixels. What's the easiest way to create a good, single triangle strip from this section? The blue dots in the image above are the pixels. I think I'll have to list some vertices twice to get what I want.

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