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- W89000419 abstract "The design of geometric models can be a painstaking and time-consuming task. Typical CAD packages are often primitive or deficient in the means they offer for placing geometry in a design or for subsequently modifying the geometry. Modification in particular can tax a user's patience when it requires many deletion, creation, or perturbation operations to effect a conceptually simple change in the design.One area of research that attempts to address these deficiencies involves the use of constraints on the geometry as a means of both specifying and controlling its shape. The form in which the constraint information is demanded from the user determines the ease of use of any geometric system that is based on constraints, and is one of the basic problems to be addressed in the design of such a system.I present a constraint-based geometric editor that allows the manipulation of both constraints and geometry using the direct-manipulation paradigm, which is well established as being of central importance in many easy-to-use systems. When using the editor, constraints are presented to the user graphically, in the context of the geometric design, and may be created, destroyed, and manipulated interactively along with the geometry. The constraints may either be created explicitly, or implicitly as a side effect of creating geometry. In addition, constraints are used in a novel way to facilitate interactive creation and positioning of geometry in three space, despite the limitations of commonly-available two-dimensional display and input devices. Lastly, whenever geometry is modified using direct manipulation, a solver is called which updates the geometry in accordance with the existing constraints. All of these features contribute to the ease of use of my system.I also present a solver that addresses another basic problem inherent in constraint-based systems; namely, the need to efficiently obtain a solution that instantiates the geometry so as to satisfy the constraints. I provide a robust and efficient solver that is $O(nsp2)$ in the size of the geometric problem being solved and present the mathematics that support it. In addition, I present a new algorithm that partitions the free-form geometry and constraint network into a number of pieces that may be independently solved. For many networks, this algorithm yields a solution to the entire network in close to linear time." @default.
- W89000419 created "2016-06-24" @default.
- W89000419 creator A5023306010 @default.
- W89000419 date "1991-05-01" @default.
- W89000419 modified "2023-09-23" @default.
- W89000419 title "A graphical editor for three-dimensional constraint-based geometric modeling" @default.
- W89000419 hasPublicationYear "1991" @default.
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