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Skeletal Structures for Modeling Generalized Chamfers and Fillets in the Presence of Complex Miters

A chamfer is a sloped or angled corner or edge that provides a transition between faces of a three-dimensional object. Similarly, a fillet is a rounded corner or edge. We show how to model and construct complex chamfers and fillets for extruded objects in a robust and efficient way even if several faces of the object are involved. Our approach is based on skeletal structures such as the medial axis and straight skeleton of the footprint of the extruded object. It can be seen as a generalization of the standard roofs induced by these structures.