An Algorithm to Recognize Shape and Position of Basic Functional Geometries Obtained by Manufacturing: An Optimization of Grid Increment
Autor: | António A. C. Monteiro, João Mendonça da Silva, Carlos Costa, Ana I. Filipe |
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Rok vydání: | 2014 |
Předmět: |
0209 industrial biotechnology
business.industry Gaussian 02 engineering and technology Geometric shape Grid Computational geometry Automation symbols.namesake 020303 mechanical engineering & transports 020901 industrial engineering & automation 0203 mechanical engineering Differential geometry Position (vector) symbols Representation (mathematics) business Algorithm ComputingMethodologies_COMPUTERGRAPHICS Mathematics |
Zdroj: | ICCSA (Workshops/Short Papers/Posters) |
DOI: | 10.1109/iccsa.2014.37 |
Popis: | The development of automated measurement systems for monitoring basic functional geometries arises as a response to the increasing automation of manufacture. The paper describes the optimization of the grid increment to be used in the algorithm established by the authors to automatically recognize 3D geometries. Differential geometry was used to determine Gaussian and mean local curvatures of surfaces described by ordered cloud point representation, considered the fundamental conditions for the decision of geometric shapes automatic identification. A case study for spherical surfaces is shown, relating the grid increment with the values of the sphere attributes. The optimization of the increment appears to minimize the uncertainty of the algorithm. The results validated the suitability of the algorithm hereby proposed. |
Databáze: | OpenAIRE |
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