Variation of geometrics based on a geometric-reasoning method
Computer-Aided Design
Interaction with constraints in 3D modeling
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Algebraic solution for geometry from dimensional constraints
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM 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
Formal resolution of geometrical constraint systems by assembling
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Sketch-based pruning of a solution space within a formal geometric constraint solver
Artificial Intelligence
A Constraint Programming Approach for Solving Rigid Geometric Systems
CP '02 Proceedings of the 6th International Conference on Principles and Practice of Constraint Programming
Interactive handling of a construction plan in CAD
Geometric modeling
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In CAD, symbolic geometric solvers allow to solve constraint systems, given under the form of a sketch and a set of constraints, by computing a symbolic construction plan describing how to build the required figure. But a construction plan does not usually define a unique figure, and the selection of the expected figure remains an important topic. This paper expose three methods, automatic or interactive, to help the designer in the exploration of the solution space. These methods guide him towards the expected solution, by basing the construction on the observation of the sketch. A set of examples from a large range of application domains illustrate the different methods.