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Solving spatial basic geometric constraint configurations with locus intersection
Geometric constraint solving Parametric CAD Spatial basic configuration Locus intersection
2013/9/9
A basic idea of geometric constraint solving (GCS) is to decompose the constraint problem into smaller ones according to some basic configurations. In this paper, we find all spatial basic configurati...
Geometric Constraint Solving via C-tree Decomposition
Geometric Constraint Solving C-tree Decomposition
2013/9/9
Geometric Constraint Solving via C-tree Decomposition.
Polynomial hulls and H-infinity control for a hypoconvex constraint
Polynomial hulls H-infinity control hypoconvex constraint
2010/10/29
We say that a subset of C^n is hypoconvex if its complement is the union of complex hyperplanes. Let D be the closed unit disk in C, T the unit circle. We prove two conjectures of Helton and Marshall...
Geometric constraint satisfaction using optimization methods
Parametric design Optimization method Variational geometry
2013/9/9
The numerical approach to solving geometric constraint problems is indispensable for building a practical CAD system. The most commonly-used numerical method is the Newton–Raphson method. It is fast, ...