In an earlier paper [1] we have proposed a shape representation called the CLD (Chord Length Distribution) which possesses many of the often-quoted desirable properties of a shape representation. It also captures shape variability and complements an object location method using belief updating which integrates low-level evidence and shape constraints. Promising results on synthetic and real rigid objects were given. This paper describes a development to the original definition which makes the location method robust with respect to clutter. We give experimental results which demonstrate the performance of the revised scheme on a class of flexible shapes, both singly and overlapping.