Hl. Le et B. Bhavnagri, ON SIMPLIFYING SHAPES BY SUBJECTING THEM TO COLLINEARITY CONSTRAINTS, Mathematical proceedings of the Cambridge Philosophical Society, 122, 1997, pp. 315-323
We measure the distance of a general shape from the set of shapes havi
ng a certain sequence of their vertices collinear and also describe th
e behaviour of shapes as they along a geodesic towards this set. This
models problems which arise in computer vision and other applications
of shape theory.