Many applications of geometric nature can be modeled by geometric problems defined by constraints in which the constraint parameters have interval uncertainty. In a previous work, we developed a method for solving geometric constraint problems where parameters are narrow intervals in the domain of the geometric problem. Based on this work, we present a new approach to solve more general problems with non-trivial-width interval parameters that may not necessarily be in the domain of the problem. We show how our approach is successfully applied to a number of problems like solving geometric problems with tolerances, checking constraint feasibility and analyzing link motion of planar mechanisms.
A Constraint Solving-Based Approach to Analyze 2D Geometric Problems With Interval Parameters
Contributed by the Computer Aided Product Development (CAPD) Committee for publication in the JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING. Manuscript received Aug. 2001; revised manuscript received Oct. 2001. Associate Editor: D. Anderson, K. Lee.
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Joan-Arinyo , R., Mata , N., and Soto-Riera, A. (October 1, 2001). "A Constraint Solving-Based Approach to Analyze 2D Geometric Problems With Interval Parameters ." ASME. J. Comput. Inf. Sci. Eng. December 2001; 1(4): 341–346. https://doi.org/10.1115/1.1429641
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