By Guderley K. G., Keller C. L.

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The declarative modeler MultiFormes [2 ,3, 4, 12, 13, 14, 34] is a general purpose declarative modeler. It is generally admitted that the declarative modeling process is made of three phases: the description phase, where the designer describes the scene; the scene generation phase, where the modeler generates one or more scenes verifying the description; and the scene understanding phase, where the designer, or the modeler, tries to understand a generated scene in order to decide whether the proposed solution is a satisfactory one, or not.

A basic three-layered architecture 24 G. Miaoulis The last elements of the model are the resources of information and knowledge themselves which are stored in the databases according to the MultiCAD platform. The Resources of Information and Knowledge Within the MultiCAD system framework many types of information and knowledge coexist, like scene models, general information, relative or associated with a scene or a project, multimedia documents, and declarative knowledge and domain concepts (Fig.

A special mechanism of the geometric CSP solver rearranges intersection computations in order to use approximation and sampling only at the end of the intersection computation process. 4 Some Other Problems The following two problems may affect the efficiency of the geometric CSP solver. The first one is due to the need of sampling. Existence of solutions may depend on the instantiation order of the variable points. For example, let us consider the case where two points C and D have to belong to the already instantiated segment (AB) and BD has to be 4 times longer than AC.

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A Basic Theorem in the Computation of Ellipsoidal Error Bounds by Guderley K. G., Keller C. L.

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