It is impossible to computationally verify informational completeness of a representation unless the notion of a physical object is defined in terms of computable mathematical properties and independent of any particular representation. The requirement implicitly recognizes the possibility of several computer representations of the same physical object as long as any two such representations are consistent. The notion of solid modeling as practised today relies on the specific need for informational completeness in mechanical geometric modeling systems, in the sense that any computer model should support all geometric queries that may be asked of its corresponding physical object. Solid modeling research and development has effectively addressed many of these issues, and continues to be a central focus of computer-aided engineering. A central problem in all these applications is the ability to effectively represent and manipulate three-dimensional geometry in a fashion that is consistent with the physical behavior of real artifacts. Beyond traditional manufacturing, solid modeling techniques serve as the foundation for rapid prototyping, digital data archival and reverse engineering by reconstructing solids from sampled points on physical objects, mechanical analysis using finite elements, motion planning and NC path verification, kinematic and dynamic analysis of mechanisms, and so on. More recently, the range of supported manufacturing applications has been greatly expanded to include sheet metal manufacturing, injection molding, welding, pipe routing, etc.
GYROSCOPE LASER VERIFICATION
Simulation, planning, and verification of processes such as machining and assembly were one of the main catalysts for the development of solid modeling. The use of solid modeling techniques allows for the automation of several difficult engineering calculations that are carried out as a part of the design process. 3.8 Parametric and feature-based modeling.
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