Authors:
            
                    Nadjet Talbi
                    
                        
                                1
                            
                    
                    ; 
                
                    Pierre Joli
                    
                        
                                1
                            
                    
                    ; 
                
                    Zhi-Qiang Feng
                    
                        
                                2
                            
                    
                     and
                
                    Abderrahmane Kheddar
                    
                        
                                3
                            
                    
                    
                
        
        
            Affiliations:
            
                    
                        
                                1
                            
                    
                    Laboratory IBISC, Evry Val d’Essonne university, France
                
                    ; 
                
                    
                        
                                2
                            
                    
                    Laboratory LME, Evry Val d’Essonne University, France
                
                    ; 
                
                    
                        
                                3
                            
                    
                    Laboratory JRL, AIST Tsukuba Central 2, Japan
                
        
        
        
        
        
             Keyword(s):
            Friction Contact, Interactive Simulation, Haptic rendering, Uzawa technic, Bi-potential Method.
        
        
            
                Related
                    Ontology
                    Subjects/Areas/Topics:
                
                        Animation and Simulation
                    ; 
                        Collision Detection
                    ; 
                        Computer Vision, Visualization and Computer Graphics
                    ; 
                        Fundamental Methods and Algorithms
                    ; 
                        Geometry and Modeling
                    ; 
                        Graphical Interfaces
                    ; 
                        Interactive Environments
                    ; 
                        Modeling and Algorithms
                    ; 
                        Physics-Based Modeling
                    ; 
                        Real-Time Graphics
                    ; 
                        Real-Time Rendering
                    ; 
                        Real-Time Visual Simulation
                    ; 
                        Rendering
                    ; 
                        Scene and Object Modeling
                    
            
        
        
            
                Abstract: 
                This paper deals principally with the comparison of two efficient algorithms to solve multi-contact problems with friction between two deformable bodies. These two algorithms are based on the bi-potential formulation of the contact laws, offering the control of the solution at each contact point through an unique mathematical operator of projection as well as a better force feedback stability of the friction contact force. For reasons of modular programming, a method to decouple the contact solver from the displacement solver is presented. A Haptic Contact simulator called “HapCo” has been developed as a prototype to test contact algorithms between two deformable objects in the context of interactive simulation with a haptic device.