| Ronen Barzel and Alan H. Barr. Topics in Physically Based Modeling, Course Notes, volume 16, chapter Dynamic Constraints. SIGGRAPH, 1987. |
....modes, the dimensionality and stiffness of the models are both drastically reduced. The models we develop here yield similar advantages, though we arrive there by a very different route. The use of constraint methods for model creation and motion control has been extensively treated. [3, 18, 7, 9, 4, 12, 11, 20, 19, 13] A number of these entail the use of inverse dynamics to calculate constraint forces. The formulation employed here, which is based on the method of Lagrange multipliers, is described fully in [19] and is also closely related to that presented in [11] 2 Linear Deformations 2.1 The mechanics of ....
Ronen Barzel and Alan H. Barr. Topics in Physically Based Modeling, Course Notes, volume 16, chapter Dynamic Constraints. SIGGRAPH, 1987.
....dynamics is concerned with making objects behavior consistent with the forces of constraint. The mathematics of constrained dynamics are hardly new (see any standard classical mechanics text, such as [6] although they have begun to appear only recently in the Computer Graphics literature [2, 10, 9, 7, 3, 14, 13]. In this section we address the problem of constrained dynamics in light of the requirements of interactivity: that we be able to freely add or delete constraints in an ongoing simulation, with minimal restrictions on the form of the constraints or the nature of the objects. 2.1 Restoring ....
Ronen Barzel and Alan H. Barr. Topics in Physically Based Modeling, Course Notes, volume 16, chapter Dynamic Constraints. SIGGRAPH, 1987.
....modes, the dimensionality and stiffness of the models are both drastically reduced. The models we develop here yield similar advantages, though we arrive there by a very different route. The use of constraint methods for model creation and motion control has been extensively treated. [3, 18, 7, 9, 4, 12, 11, 20, 19, 13] A number of these entail the use of inverse dynamics to calculate constraint forces. The formulation employed here, which is based on the method of Lagrange multipliers, is described fully in [19] and is also closely related to that presented in [11] 2 Linear Deformations 2.1 The mechanics of ....
Ronen Barzel and Alan H. Barr. Topics in Physically Based Modeling, Course Notes, volume 16, chapter Dynamic Constraints. SIGGRAPH, 1987.
....this problem is to model the physical habitat of the object: the motion will be a consequence of the interaction between the object and its environment, according to the laws of physics. A discussion of this physically based modeling approach is found in several papers in the graphics literature (Barr et al. 1987), Terzopoulos Fleischer, 1988) 1.3 Physically based Polygonization of Implicit Objects In this paper we use physically based methods to compute polygonal approximations. These methods yield naturally adapted polygonizations. They also make it possible to construct a model such that the ....
Barr, A., Barzel, R., Haumann, D., Kass, M., Platt, J., Terzopoulos, D., Witkin, A., (1987): Topics in Physically-based Modeling, SIGGRAPH'87 course notes #17.
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