Improvement of Supervised Shape Retrieval by Learning the Manifold Space

Abstract

Manifold learning is the technique that aims for finding a constructive way to embed the data from a highdimensional space into a low-dimensional manifold based on nonlinear approaches. In this paper a supervised manifold learning method for shape recognition is proposed. The approach is based on learning the manifold space for training samples and map the test samples to the learned space by a Generalised Regression Neural Network (GRNN). The main goal in this paper is to propose a new feature vector to coincide semantic and Euclidean distances. To accomplish this, the desired topological manifold was learnt by a global distance driven non-linear feature extraction method. The experiments showed that the geometrical distances between the test samples on the manifold space are more related to their semantic distance. To fuse the results of shape recognition based on contour and region based methods, in our framework the final result of shape recognition is based on committee decision in three manifold spaces. The experimental results confirmed the effectiveness and validity of the proposed method.