Relaxed parametric design with probabilistic constraints

: Parametric design is an important modeling paradigm in computer aided design. Relationships (constraints) between the degrees of freedom (DOFs) of the model, instead of the DOFs themselves, are specified, resulting in efficient design modifications and variations. Current parametric modelers require an exact specification of all the constraints involved, which causes over-work on the part of the designer during design iterations. We describe the relaxed parametric design modeling paradigm, in which decisions which needlessly limit the freedom of design in later stages are avoided. The designer uses soft constraints and specifies the exactness by which they are to be met. As a specific scheme for implementing relaxed parametric design, we present probabilistic constraints, where a parametric model is viewed as a stochastic process. Softness of a constraint is represented as the covariance of a suitably distributed random variable. We describe a novel method for expressing the DOF...

• Type: Conference
• Year: 1993
• Where: SMA
• Authors: Yacov Hel-Or, Ari Rappoport, Michael Werman
• Keywords: Modeling Paradigm, Parametric Design, Relaxed Parametric Design, SMA 1993, Solid Modeling