Future Vision and Trends on Shapes, Geometry and Algebra

Raffaele de Amicis is the Managing Director of Fondazione Graphitech, he holds a Ph.D. from University of Bologna, Italy. He has been research fellow at Fraunhofer Inst. for Computer Graphics Research (IGD) in Darmstadt, Germany and senior researcher at Technical Univ. of Darmstadt. He is coordinator of GEPSUS, BRISEIDE, i-SCOPE and VISION. His interests are in CAD, virtual reality, virtual engineering, geovisual analytics and science and technology policy. He has authored 3 books, contributed to 11 scientific texts and he is author or co-author of more than 120 scientific papers. He serves as cons. prof. in undergraduate courses related computer graphics, at the Dept. of ICT at the Univ. of Trento, Italy. He is currently member of the Experts Board of the Italian Committee for Evaluation of Research (CIVR). Dr. Giuseppe Conti is currently CTO at Trilogis, an Italian SME focusing on geospatial technologies. Previously, he worked at Fondazione Graphitech as senior researcher since 2002. He received a M.Eng. in Civil Engineering and a Ph.D. degree at the University of Strathclyde, Glasgow (UK). In the past, he worked for a number of engineering firms including Ove Arup Scotland engineering consultants. He has been involved in several projects co-funded by the European Commission, as well as in industrial projects dealing with issues related to the use of Virtual Reality to planning, large terrain 3D visualization and in the context of geobrowsers. In the past, he was member of the board of AM/FM GIS Italy association and member of Technical Committee of the Open Geospatial Consortium. He has been invited speaker at a number of international events dealing with environmental protection and GIS. He is author or co-author of more than 80 publications in the field of geo-visual analytics and computer graphics.

Introduction.- Future Shape Modelling Scenarios.- A Hilbert-Driven Strategy for Signature-based Gröbner Basis Algorithms.- Numerical Algebraic Geometry and Differential Equations.- Sparse Discriminants and Applications.- Parametrization of the Bisector of Two Low Degree Surfaces.- Computer Aided Algebraic Geometry: Constructing Surfaces of Genus Zero.- Elastic Bone Transformation for Realistic Facial Animation in Web GL.- Geometric Features for Hand-Written Signatures.- Using 2D Contours to Model Metal Sheets in Industrial Machining Processes.- The Case for Scripted Process Design and Engineering.