Abstract

During the past few years, an increasing number of approaches and applications of profile monitoring have been proposed in the literature as the quality of product and process is very often characterized by functional data. In the context of geometric tolerances, where curves and surfaces describe the shape of manufactured item, the quality outcome (dependent variable) is a function of one or more spatial location variables (independent variables). Up to now, profile monitoring has been mainly constrained to situations in which the dependent variable is a scalar, which is modeled as a function of a single location variable via linear models or datareduction approaches as Principal Component Analysis (PCA). When the quality of products is related to geometric tolerances (e.g., roundness or circularity, straightness, cylindricity, flatness or planarity) the geometry of the item lies in a 3-dimensional (3D) space and cannot be modeled as a scalar function of one location variable. This paper presents solutions to problems arising when 3D features (either curves or surfaces) are considered and data-reduction techniques are implemented as modeling tool. Two PCAbased approaches are presented, namely (i) the complex PCA (i.e., PCA performed on matrices of complex numbers) and the (ii) multilinear PCA (i.e., PCA performed on tensor data). These two approaches are explored as viable solutions to modeling 3D profiles and surfaces respectively, in the context of geometric tolerance monitoring.

Autore Pugliese

• Pacella Massimo

Tutti gli autori

• Pacella M. , Colosimo B. M.

Titolo volume/Rivista

PROCEDIA CIRP

Anno di pubblicazione

2013

ISSN

2212-8271

ISBN

Non Disponibile

Numero di citazioni Wos

1

Ultimo Aggiornamento Citazioni

27/04/2018

Numero di citazioni Scopus

1

Ultimo Aggiornamento Citazioni

28/04/2018

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile