2-D shape boundary segmentation is required as a fundamental and impor
tant stage in the recognition of partially occluded objects. We introd
uce here a new segmentation method capable of extracting a controlled
number of segments along a smooth boundary curve. This new approach is
invariant to similarity transformation, and partial occlusion has onl
y marginal influence on the segmentation of the visible part. The basi
c concept is to transform the curve into another one which intersects
itself. Points or intersection of the new curve are re-transformed to
the original curve and serve as endpoints of segments. Properties of t
he transform are discussed, and conditions for existence of intersecti
on points are given. Simulation results of gray level images are prese
nted, and advantages of our method over conventional approaches relyin
g on singular points of the curvature-are discussed.