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							FastLSM: Fast 
							Lattice Shape Matching 
							for Robust Real-Time Deformation 
					
							
							Alec 
			Rivers        
							Doug James 
							Cornell University  | 
				 
				
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							| Abstract | 
						 
						
							
							
								
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									We introduce a simple technique that enables 
									robust approximation of volumetric, 
									large-deformation dynamics for real-time or 
									large-scale offline simulations. We propose
									Lattice Shape Matching, an extension 
									of deformable shape matching to regular 
									lattices with embedded geometry; lattice 
									vertices are smoothed by convolution of 
									rigid shape matching operators on local 
									lattice regions, with the effective 
									mechanical stiffness specified by the amount 
									of smoothing via region width. Since the 
									naive method can be very slow for stiff 
									models — per-vertex costs scale cubically 
									with region width — we provide a fast 
									summation algorithm, Fast Lattice Shape 
									Matching (FastLSM), that exploits the 
									inherent summation redundancy of shape 
									matching and can provide large-region 
									matching at constant per-vertex cost. With 
									this approach, large lattices can be 
									simulated in linear time. We present several 
									examples and benchmarks of an efficient CPU 
									implementation, including many dozens of 
									soft bodies simulated at real-time rates on 
									a typical desktop machine. | 
								 
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							| Citation | 
						 
						
							
							
								
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									Alec R. Rivers, Doug L. James: FastLSM: Fast 
									Lattice Shape Matching for Robust Real-Time 
									Deformation ACM Transactions on Graphics 
									(SIGGRAPH 2007), to appear | 
								 
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											3D demo: A simple 3D 
											demo, with few controls. No source 
											code.
											(9 MB) | 
										 
									 
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					© 2007 Alec Rivers, Doug James  | 
				 
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