2002
DOI: 10.1016/s0010-4485(01)00133-6
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A new constructive approach to constraint-based geometric design

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Cited by 15 publications
(8 citation statements)
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“…6 solution selection process may also be extended to deal with negative distances and angles, allowing different solutions to be selected based on the sign of the input parameters. 4 Our resemblance relation is defined in terms of 3D points, whereas typical CAD problems contain other primitives such as lines, planes, blocks, cylinders and spheres.…”
Section: Discussionmentioning
confidence: 99%
“…6 solution selection process may also be extended to deal with negative distances and angles, allowing different solutions to be selected based on the sign of the input parameters. 4 Our resemblance relation is defined in terms of 3D points, whereas typical CAD problems contain other primitives such as lines, planes, blocks, cylinders and spheres.…”
Section: Discussionmentioning
confidence: 99%
“…In this way, new constraints can be derived, and the system can be solved by local propagation. A matrix-based propagation algorithm for distance and angle constraints on points in 2D is presented in [15]. A drawback of this algorithm is that a large number of redundant distances and angles are derived, resulting in high space and time complexity.…”
Section: Background and Related Workmentioning
confidence: 99%
“…In this example, the solver determines that CBD = 1 4 π, and ABD = CBD + ABC = 3 8 π (Figure 6(b)), or ABD = CBD − ABC = 1 8 π (Figure 6(c)), depending on which side of line BC point A is located. Angle propagation can be implemented in constructive solvers, as described in [Podgorelec 2002], and is supported by many other constraint solving approaches too.…”
Section: Degenerate Subproblem Solutionsmentioning
confidence: 99%