Characterizing non-ideal shapes in terms of dimensions and tolerances
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
SIGGRAPH '86 Proceedings of the 13th 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
A synthetic visual environment with hand gesturing and voice input
CHI '89 Proceedings of the SIGCHI Conference on Human Factors in Computing Systems
Geometric tolerancing: 1. Virtual boundary requirements
IBM Journal of Research and Development
Snap-dragging in three dimensions
I3D '90 Proceedings of the 1990 symposium on Interactive 3D graphics
Interaction with constraints in 3D modeling
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Interactive constraint-based solid modeling using allowable motion
SMA '93 Proceedings on the second ACM symposium on Solid modeling and applications
Relaxed parametric design with probabilistic constraints
SMA '93 Proceedings on the second ACM symposium on Solid modeling and applications
Parametric design and its impact on solid modeling applications
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Solving geometric constraints by homotopy
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
A constraint-based manipulator toolset for editing 3D objects
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Extended variational design technology—foundation for integrated design automation
Proceedings of the fifth ACM symposium on Solid modeling and applications
Constraints in constructive solid geometry
I3D '86 Proceedings of the 1986 workshop on Interactive 3D graphics
Software architecture for a constraint-based virtual environment
Proceedings of the ACM symposium on Virtual reality software and technology
Solving spatial basic geometric constraint configurations with locus intersection
Proceedings of the seventh ACM symposium on Solid modeling and applications
Singularity analysis of geometric constraint systems
Journal of Computer Science and Technology
Solving Geometric Constraints By Homotopy
IEEE Transactions on Visualization and Computer Graphics
Representing Dimensions, Tolerances, and Features in MCAE Systems
IEEE Computer Graphics and Applications
Automated Geometry Diagram Construction and Engineering Geometry
ADG '98 Proceedings of the Second International Workshop on Automated Deduction in Geometry
Geometric constraint solving via C-tree decomposition
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Numerical decomposition of geometric constraints
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Parallel algorithms on geometric constraint solving
Proceedings of the 2007 ACM symposium on Applied computing
Combining symbolic and numerical solvers to simplify indecomposable systems solving
Proceedings of the 2008 ACM symposium on Applied computing
A C-tree decomposition algorithm for 2D and 3D geometric constraint solving
Computer-Aided Design
A constraint solver to define correctly dimensioned and overdimensioned parts
Computer-Aided Design
Technical Section: SpeedSeg: A technique for segmenting pen strokes using pen speed
Computers and Graphics
Discovering implicit constraints in design
Artificial Intelligence for Engineering Design, Analysis and Manufacturing
A particle-spring approach to geometric constraints solving
Proceedings of the 2011 ACM Symposium on Applied Computing
Decomposition of geometrical constraint systems with reparameterization
Proceedings of the 27th Annual ACM Symposium on Applied Computing
Validating constraint driven design techniques in spatial augmented reality
AUIC '13 Proceedings of the Fourteenth Australasian User Interface Conference - Volume 139
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A system has been developed which utilizes variational geometry in the design and modification of mechanical parts. Three-dimensional constraints between characteristic points are used to define an object's geometry. Modification of geometry is accomplished by alteration of one or more constraints. A matrix method is used to determine the shape of the part by simultaneous solution of constraint equations. A method for increasing the speed and efficiency of the solution procedure is described. The method uses the relationships between the geometry and constraints to minimize the number of equations and variables to be solved.