288 pp. per issue
6 x 9, illustrated
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Neural Computation

March 2010, Vol. 22, No. 3, Pages 689-729
(doi: 10.1162/neco.2009.08-08-842)
© 2009 Massachusetts Institute of Technology
Growing Self-Organizing Surface Map: Learning a Surface Topology from a Point Cloud
Article PDF (1.54 MB)

The growing self-organizing surface map (GSOSM) is a novel map model that learns a folded surface immersed in a 3D space. Starting from a dense point cloud, the surface is reconstructed through an incremental mesh composed of approximately equilateral triangles. Unlike other models such as neural meshes (NM), the GSOSM builds a surface topology while accepting any sequence of sample presentation. The GSOSM model introduces a novel connection learning rule called competitive connection Hebbian learning (CCHL), which produces a complete triangulation. GSOSM reconstructions are accurate and often free of false or overlapping faces. This letter presents and discusses the GSOSM model. It also presents and analyzes a set of results and compares GSOSM with some other models.