SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Energy constraints on parameterized models
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Dynamic deformation of solid primitives with constraints
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Linear-time dynamics using Lagrange multipliers
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
A modeling system based on dynamic constraints
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Constraints methods for flexible models
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Fast animation and control of nonrigid structures
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Modeling and simulation of sharp creases
SIGGRAPH '04 ACM SIGGRAPH 2004 Sketches
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Geometric constraints are imperative components of many dynamic simulation systems to effectively control the behavior of simulated objects. In this paper we present an improved first-order implicit constraint enforcement scheme to achieve improved accuracy without significant computational burden. Our improved implicit constraint enforcement technique is seamlessly integrated into a dynamic simulation system to achieve desirable motions during the simulation using constraint forces and doesn't require parameter tweaking for numerical stabilization. Our experimental results show improved accuracy in maintaining constraints in comparison with our previous first-order implicit constraint method and the notable explicit Baumgarte method. The improved accuracy in constraint enforcement contributes to the effective and intuitive motion control in dynamic simulations. To demonstrate the wide applicability, the proposed constraint scheme is successfully applied to the prevention of excessive elongation of cloth springs, the realistic motion of cloth under arduous collision conditions, and the modeling of a joint for a rigid body robot arm.