| Mark W. Brunkhart. Interactive geometric constraint systems. Master's thesis, University of California, Berkeley, Berkeley, California, May 1994. 156 |
....to assign positions to those entities. It constructs the MAP in reverse order of ultimate execution, exactly as Sutherland s original local propagation algorithm for Sketchpad did. In the forward direction, this can be seen as the propagation of rigidity; Brunkart calls this method contraction [24]. Kramer s propagation of geometric degrees of freedom is complicated by its need to infer the appropriate geometric transformation to fix (i.e. make rigid) a specific previously free motion. In a simple local propagation system, this requires only the evaluation of a pre specified function, ....
Mark W. Brunkhart. Interactive geometric constraint systems. Master's thesis, University of California, Berkeley, Berkeley, California, May 1994. 156
....transformations to assign positions to those entities. It constructs the MAP in reverse order of ultimate execution, exactly as Sutherland s original LP algorithm for Sketchpad did. In the forward direction, this can be seen as the propagation of rigidity; Brunkart calls this method contraction [Bru94] Kramer s propagation of geometric degrees of freedom is complicated by its need to infer the appropriate geometric transformation to fix (i.e. make rigid) a specific previously free motion (in simple LP system, this requires only the evaluation of a pre specified function, perhaps with some ....
Mark W. Brunkhart. Interactive geometric constraint systems. Master's thesis, University of California, Berkeley, Berkeley, California, May 1994.
....modelling, which deals with the joining of separate rigid bodies in 3D space, is an important task within the design process for mechanical engineering. Constraint based modelling is a modern approach (for overview cf. AM96] which is adequate for this application as shown by other work [Kra92, Bru94, AKC96] By using geometric constraints, the mobility restrictions can be described declaratively, which allows to separate the modelling part and the solving part of the problem. Declarative description is a more natural and easier way to capture and store the engineer s intent. The design can ....
....restrictions can be described declaratively, which allows to separate the modelling part and the solving part of the problem. Declarative description is a more natural and easier way to capture and store the engineer s intent. The design can easily be changed by changing the constraints [ZGV92, Bru94] The engineer can analyse the kinematic structure and can detect design or mounting problems early by performing simulations and by getting feedback about redundancy or bad numerical conditions of the design. Mechanisms, in particular those in the kinematic domain, can have multiple interacting ....
W. Brunkhart. Interactive Geometric Constraint Systems. Master's thesis, University of California at Berkeley, May 1994.
.... called Bravo TM by Applicon where it is used to drive the 2D sketcher (Brown Associates, 1993) Several academic systems are currently using the degrees of freedom analysis for other applications like assembly modeling (Anantha, Kramer Crawford, 1992) editing and animating planar linkages (Brunkhart, 1994), and feature based design (Salomons, 1994; Shah Rogers, 1993) GCE employs a set of specialized routines called plan fragments to create the assembly plan. A plan fragment specifies how to change the configuration of a geom using a fixed set of operators and the available degrees of freedom, so ....
Brunkhart, M. W. (1994). Interactive geometric constraint systems. Master's thesis, TR No.
....Design systems rederive and solve the constraint graph, whenever a constraint is inserted or deleted. Systems based on graph network decomposition and or numerical techniques, which allow non linear constraints and constraint cycles [Owen91, Kramer92, Serrano Gossard92, Bouma et al. 93, Brunkhart94, Heydon Nelson94] resatisfy all constraints from scratch due to the insertion of a new constraint. This process is time consuming and therefore hinders a interactive design performance when dealing with large constraint networks [Zanden92, Fa93] This paper presents an Incremental Constraint ....
....the NAG Fortran library. If a non linear constraint presents more than one solution, the user is required to choose one of them. a=b c a b c c1 (b) a b c c1 c=a b a b c c1 b=a c (a) c) Figure 3: Satisfaction methods for c1 : a = b c 3. 2 Local Propagation Techniques Local Propagation [Brunkhart94, Sannella94] is an efficient method for solving systems of constraint equations. After the value ff of an unknown variable x is defined, the method works by propagating its value to all constraints in the constraint network that depend upon x. After substituting the value into the constraints x ....
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Brunkhart, Mark, K. 1994 - Interactive Geometric Constraint Systems, Master's thesis, Computer Science Division/University of California, Berkeley.
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