Equation to determine control points when a point is deleted

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I am working with CorelDraw to create curves programmatically. I am working on a project where I create two intersecting lines, make them curves, and delete the point at the intersection. When I do this the delete node function is causing my code to be slower than I would like it.  I would like to predict the control points that would result from a deleted point.  I am looking for equations that CorelDraw uses to determine resulting control points when a point is deleted.  Does any one know where I could find this information?