Abstract
This study aims to develop an estimation method for a 'shape representation map'. In this study, shape representation map is a nonlinear subspace formed by a set of shapes, in which the continuous change in shapes is naturally represented. By estimating the shape representing map, it is expected that the intrinsic parameter causing the shape change appears. In this paper, we propose a method using the power of SOM (SOMn) to estimate the shape map. We carried out two simulations with the proposed method. One is the classification task of contours which are deformed by affine transformation, and the other is the localization task of a mobile robot by the skyline shape. The results showed that this method is useful when one needs to get information from shape changes.