A Case Study in Exploratory Functional Data Analysis: Geometrical Features of the Internal Carotid Artery

Laura M. Sangalli Laura M. Sangalli is Post-Doctoral Fellow , Piercesare Secchi is Professor , and Simone Vantini is Post-Doctoral Fellow , MOX—Dipartimento di Matematica, Politecnico di Milano, P.za Leonardo da Vinci 32, 20133 Milano, Italy; Alessandro Veneziani is Associate Professor, Department of Mathematics and Computer Sciences, Emory University, 1131-002-1AC, Atlanta, GA 30322, USA . This research has been carried out within the AneuRisk Project, a joint research program involving MOX Laboratory for Modeling and Scientific Computing (Dipartimento di Matematica, Politecnico di Milano), Laboratory of Biological Structures (Dipartimento di Ingegneria Strutturale, Politecnico di Milano), Istituto Mario Negri (Ranica), Ospedale Niguarda Ca' Granda (Milano), and Ospedale Maggiore Policlinico (Milano). The Project is supported by Fondazione Politecnico di Milano and Siemens Medical Solutions Italia, and supported in part by Ministero dell'Istruzione dell'Università e della Ricerca (research project “Metodi numerici avanzati per il calcolo scientifico” PRIN2006). The authors are especially grateful to Edoardo Boccardi (Ospedale Niguarda Ca' Granda), who provided the three-dimensional angiographies and motivated their research by posing fascinating medical questions; and to Luca Antiga and Marina Piccinelli (Istituto Mario Negri), who performed the image reconstructions. Last, they also thank the editor and three anonymous reviewers for their constructive comments.

Piercesare Secchi Laura M. Sangalli is Post-Doctoral Fellow , Piercesare Secchi is Professor , and Simone Vantini is Post-Doctoral Fellow , MOX—Dipartimento di Matematica, Politecnico di Milano, P.za Leonardo da Vinci 32, 20133 Milano, Italy; Alessandro Veneziani is Associate Professor, Department of Mathematics and Computer Sciences, Emory University, 1131-002-1AC, Atlanta, GA 30322, USA . This research has been carried out within the AneuRisk Project, a joint research program involving MOX Laboratory for Modeling and Scientific Computing (Dipartimento di Matematica, Politecnico di Milano), Laboratory of Biological Structures (Dipartimento di Ingegneria Strutturale, Politecnico di Milano), Istituto Mario Negri (Ranica), Ospedale Niguarda Ca' Granda (Milano), and Ospedale Maggiore Policlinico (Milano). The Project is supported by Fondazione Politecnico di Milano and Siemens Medical Solutions Italia, and supported in part by Ministero dell'Istruzione dell'Università e della Ricerca (research project “Metodi numerici avanzati per il calcolo scientifico” PRIN2006). The authors are especially grateful to Edoardo Boccardi (Ospedale Niguarda Ca' Granda), who provided the three-dimensional angiographies and motivated their research by posing fascinating medical questions; and to Luca Antiga and Marina Piccinelli (Istituto Mario Negri), who performed the image reconstructions. Last, they also thank the editor and three anonymous reviewers for their constructive comments.

Simone Vantini Laura M. Sangalli is Post-Doctoral Fellow , Piercesare Secchi is Professor , and Simone Vantini is Post-Doctoral Fellow , MOX—Dipartimento di Matematica, Politecnico di Milano, P.za Leonardo da Vinci 32, 20133 Milano, Italy; Alessandro Veneziani is Associate Professor, Department of Mathematics and Computer Sciences, Emory University, 1131-002-1AC, Atlanta, GA 30322, USA . This research has been carried out within the AneuRisk Project, a joint research program involving MOX Laboratory for Modeling and Scientific Computing (Dipartimento di Matematica, Politecnico di Milano), Laboratory of Biological Structures (Dipartimento di Ingegneria Strutturale, Politecnico di Milano), Istituto Mario Negri (Ranica), Ospedale Niguarda Ca' Granda (Milano), and Ospedale Maggiore Policlinico (Milano). The Project is supported by Fondazione Politecnico di Milano and Siemens Medical Solutions Italia, and supported in part by Ministero dell'Istruzione dell'Università e della Ricerca (research project “Metodi numerici avanzati per il calcolo scientifico” PRIN2006). The authors are especially grateful to Edoardo Boccardi (Ospedale Niguarda Ca' Granda), who provided the three-dimensional angiographies and motivated their research by posing fascinating medical questions; and to Luca Antiga and Marina Piccinelli (Istituto Mario Negri), who performed the image reconstructions. Last, they also thank the editor and three anonymous reviewers for their constructive comments.

Alessandro Veneziani Laura M. Sangalli is Post-Doctoral Fellow , Piercesare Secchi is Professor , and Simone Vantini is Post-Doctoral Fellow , MOX—Dipartimento di Matematica, Politecnico di Milano, P.za Leonardo da Vinci 32, 20133 Milano, Italy; Alessandro Veneziani is Associate Professor, Department of Mathematics and Computer Sciences, Emory University, 1131-002-1AC, Atlanta, GA 30322, USA . This research has been carried out within the AneuRisk Project, a joint research program involving MOX Laboratory for Modeling and Scientific Computing (Dipartimento di Matematica, Politecnico di Milano), Laboratory of Biological Structures (Dipartimento di Ingegneria Strutturale, Politecnico di Milano), Istituto Mario Negri (Ranica), Ospedale Niguarda Ca' Granda (Milano), and Ospedale Maggiore Policlinico (Milano). The Project is supported by Fondazione Politecnico di Milano and Siemens Medical Solutions Italia, and supported in part by Ministero dell'Istruzione dell'Università e della Ricerca (research project “Metodi numerici avanzati per il calcolo scientifico” PRIN2006). The authors are especially grateful to Edoardo Boccardi (Ospedale Niguarda Ca' Granda), who provided the three-dimensional angiographies and motivated their research by posing fascinating medical questions; and to Luca Antiga and Marina Piccinelli (Istituto Mario Negri), who performed the image reconstructions. Last, they also thank the editor and three anonymous reviewers for their constructive comments.

A Case Study in Exploratory Functional Data Analysis: Geometrical Features of the Internal Carotid Artery

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A Case Study in Exploratory Functional Data Analysis: Geometrical Features of the Internal Carotid Artery

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