Special Issue: Subdivision, Geometric and Algebraic Methods, Isogeometric Analysis and Refinability

The content of this special issue focuses on recent advances in Subdivision, Geometric and Algebraic Methods, Isogeometric Analysis and Refinability. It aims at emphasizing the newest developments in these emerging and challenging fields as well as their mutual interactions. All the considered topics are important and of increasing interest for the scientific community of applied mathematicians. Subdivision schemes provide a simple and intuitive approach for modelling geometric objects of arbitrary topology and find applications in several domains ranging from Computer Aided Geometric Design (CAGD), Computer-Aided Design (CAD) and digital animation to signal processing. Refinable bases and their use in the related multiresolution representations of data represent powerful tools in image and surface processing as well as in geometric modelling. Similarly, the design of motion planning strategies plays a fundamental role in modern computer numerical control systems for machining, layered manufacturing, composites fabrication, inspection, and related processes. Finally, Isogeometric Analysis (IgA), is a relatively new analysis framework that aims at reducing the gap between the worlds of Finite Element Analysis (FEA) and CAD and has become a focus of research within both fields becoming a mainstream analysis methodology and a new paradigm for geometric design. The majority of the articles in this special issue grow out from talks and contributions given at the first international conference on Subdivision, Geometric and Algebraic Methods, Isogeometric Analysis and Refinability in Tuscany, SMART 2014, held in Pontignano, Siena, Italy. All papers have undergone the standard anonymous refereeing process of AMC journal. The guest editors would like to thank the authors for their valuable contributions to the special issue and all the reviewers who provided their constructive criticism, through reviews, and their valuable time. We are also grateful to the journal editorial staff for their help in the preparation of this special issue.