A robust method for axis identification |
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| Affiliation: | 2. Department of Economics, University of L’Aquila, via G. Gronchi 18, 67100 L’Aquila, Italy;3. Department of “Ingegneria dell’Innovazione”, University of Salento, Via per Monteroni, 73100 Lecce, Italy;1. University of Girona, History and Art History Department, ST. Domènec. 1 Ferrater Mora Square, Office: 5.16, Girona, Catalonia, 17071, Spain;2. Autonomous University of Barcelona, Prehistory Department, Arqueolític. 56 Sant Martirià Street, Banyoles, Catalonia, 17820, Spain;3. Spanish National Research Council - Milà i Fontanals Institution (IMF-CSIC), Archaeology and Antropology Department, Groups Agrest and ICARhEB, 15 Egipciaques Street, Barcelona, Catalonia, 08001, Spain;4. REGIRAROCS, SL. Recerca, intervenció i vivències en el llegat cultural i natural de les valls pirinenques. 115 Carlemany Avenue, Escaldes-Engordany, AD700, Andorra;5. Autonomous University of Barcelona, Geology Department, Faculty of Sciences, Vall Moronta Street, Bellaterra (Cerdanyola del Vallès), Catalonia, 08193, Spain;1. Institute of Archaeology, University College London, London, United Kingdom;2. Graduate School of Human Development and Environment, Kobe University, Japan;3. Institut des Sciences du Mouvement, Aix-Marseille Université, CNRS, Marseille, France;4. Department of Physics, Imperial College London, London, United Kingdom;5. Department of Statistical Science, University College London, London, United Kingdom;6. Institute of Child Health, University College London, London, United Kingdom;7. Center for Integrative Ecology, School of Life & Environmental Sciences, Deakin University, Australia;8. CNRS, UMR 7055, Nanterre, France;1. Departamento de Geología. Facultad de Ciencias Geológicas. University of Salamanca, 37008 Salamanca, Spain;2. Geology and Geography Department, Tomsk State University, Lenin Street 36, 634050 Tomsk, Russian Federation;3. EGeomapping, C/Arrastraria, 21, 28002 Madrid, Spain |
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| Abstract: | The present paper proposes a new method for axis identification in discrete axially symmetrical geometric models. This method is based on-a-never-used-before property of the axially symmetrical surfaces for which the symmetry line of any section curve of the surface (or of a portion of it in the case of an incomplete axially symmetrical surface) always intersects the axis of symmetry of the surface. Thus the working principle of the method makes it very robust to local defectiveness, measurement noise and outliers.In order to compare it with the most cited methods presented in literature, several types of tests have been designed and performed. The robustness of those methods, on the one hand, has been evaluated by defining the Statistical Confidence Boundary at 1σ confidence level. The trueness of the method, on the other hand, has been evaluated on geometric models obtained by measuring real objects. The high robustness, which characterizes the proposed method, makes it particularly suitable for product geometric inspection where high accuracy is required. |
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| Keywords: | Geometric inspection Axis identification |
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