Algebraic solution for geometry from dimensional constraints
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
A graph-constructive approach to solving systems of geometric constraints
ACM Transactions on Graphics (TOG)
Symbolic constraints in constructive geometric constraint solving
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
Applications of Laguerre geometry in CAGD
Computer Aided Geometric Design
Combining constructive and equational geometric constraint-solving techniques
ACM Transactions on Graphics (TOG)
Symbolic and numerical techniques for constraint solving
Symbolic and numerical techniques for constraint solving
A generalized Malfatti problem
Computational Geometry: Theory and Applications
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Variable-radius circles are common constructs in planar constraint solving and are usually not handled completely by algebraic constraint solvers.This work offers a set of basic constructive methods for the complete treatment of variable radius circles determined by the simultaneous placement of two other rigid geometric objects. The variable radius circle is defined by geometric constraints that determine both the circumference and the center point. There are two constraints between the variable radius circle and each of the rigid geometric objects. The problem has been classified into two groups according to whether the relative movement between the two rigid objects is a translation or a rotation. The number of solutions in each case is also given.