Simplifying cell data - quadrilateral to triangle elements

I have a surface mesh consisting of quadrilateral cells. Each quad is actually a triangle with one point repeated (three unique vertices). I’d like to simplify this so that each cell is represented as a triangle element. Is there a filter in ParaView or VTK to do this? I have tried CleantoGrid and CleanCellstoGrid, neither of which seem to have worked.

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Triangulate ? Tetrahedralize ?