Authors:
            
                    Hendrik Annuth
                    
                        
                    
                     and
                
                    Christian-A. Bohn
                    
                        
                    
                    
                
        
        
            Affiliation:
            
                    
                        
                    
                    Wedel University of Applied Sciences, Germany
                
        
        
        
        
        
             Keyword(s):
            Growing Cell Structures, Growing Neural Gas, Smart Growing Cells, Surface Reconstruction.
        
        
            
                Related
                    Ontology
                    Subjects/Areas/Topics:
                
                        Adaptive Architectures and Mechanisms
                    ; 
                        Artificial Intelligence
                    ; 
                        Artificial Intelligence and Decision Support Systems
                    ; 
                        Biomedical Engineering
                    ; 
                        Biomedical Signal Processing
                    ; 
                        Computational Intelligence
                    ; 
                        Enterprise Information Systems
                    ; 
                        Health Engineering and Technology Applications
                    ; 
                        Human-Computer Interaction
                    ; 
                        Learning Paradigms and Algorithms
                    ; 
                        Methodologies and Methods
                    ; 
                        Neural Network Software and Applications
                    ; 
                        Neural Networks
                    ; 
                        Neurocomputing
                    ; 
                        Neurotechnology, Electronics and Informatics
                    ; 
                        Pattern Recognition
                    ; 
                        Physiological Computing Systems
                    ; 
                        Sensor Networks
                    ; 
                        Signal Processing
                    ; 
                        Soft Computing
                    ; 
                        Supervised and Unsupervised Learning
                    ; 
                        Theory and Methods
                    
            
        
        
            
                Abstract: 
                We compare Growing Cell Structures and Growing Neural Gas, which were introduced by Bernd Fritzke and which are famous for their facilities in classification, clustering, dimensionality reduction, data visualization, and approximation tasks. We practically test and analyze their capabilities in geometric approximation and focusing on the application of surface reconstruction from 3D point-data. Our focus is to work out the differences of the algorithms that are especially relevant concerning approximation purposes. We address the issue of suitable input data, their applied graphs, their topological properties, their run time complexities and we present a summary of suggested alternations to both approaches and evaluate our results.