DETERMINING THE SHAPE OF A PATTERN CLASS - EXTENSION TO R-N

An important problem in pattern recognition is determining the shape o f a pattern class from its sampled points. We have reported earlier a procedure in this regard which provides multivalued shape of a pattern class in R-2. In the present article, an extension of the procedure t o higher dimensional space (N) has been suggested. The effectiveness o f the extended version has been demonstrated on some artificially gene rated pattern classes (in R-3). The convergence of the estimated shape to the original set has also been verified using two different metric s.