Poly(1,8-octanediol-co-citrate) (POC) is a biocompatible, biodegradable elastomer with potential application for soft tissue applications such as cartilage. For chondrogenesis, permeability is a scaffold design target that may influence cartilage regeneration. Scaffold permeability is determined by many factors such as pore shape, pore size, pore interconnectivity, porosity, and so on. Our focu...

We study the approximation properties of a wide class of finite element differential forms on curvilinear cubic meshes in n dimensions. Specifically, we consider meshes in which each element is the image of a cubical reference element under a diffeomorphism, and finite element spaces in which the shape functions and degrees of freedom are obtained from the reference element by pullback of diffe...

Stimuli-responsive materials with sophisticated yet controllable shape-changing behaviors are highly desirable for real-world device applications. Among various shape-changing materials, the elastic nature of shape memory polymers allows fixation of temporary shapes that can recover on demand, whereas polymers with exchangeable bonds can undergo permanent shape change via plasticity. We integra...

Retrieving similar images from a large dataset based on the image content has been a very active research area and is a very challenging task. Studies have shown that retrieving similar images based on their shape is a very effective method. For this purpose a large number of methods exist in literature. The combination of more than one feature has also been investigated for this purpose and ha...

Ehrenborg noted that all tilings of a bipartite planar graph are encoded by its cubical matching complex and claimed this is collapsible. We point out to an oversight in his proof explain why these complexes can be the disjoint union two or more collapsible complexes. also prove links suspensions up homotopy. Furthermore, we extend definition graphs not necessarily bipartite, show either contra...

In this paper, we propose a framework to reconstruct 3D models from raw scanned points by learning the prior knowledge of a specific class of objects. Unlike previous work that heuristically specifies particular regularities and defines parametric models, our shape priors are learned directly from existing 3D models under a framework based on affinity propagation. Given a database of 3D models ...

We have developed a new approach to shape-based tracking and analysis of cardiac MR images using geometrically deformable templates (GDTs). We propose to use an energyminimizing deformable template which can deform into similar shapes under the in uence of external forces. The degree of deformation of the template from its equilibrium shape is expressed by the amount of bending energy which is ...