Search

We describe how we have acquired geometrical models of many periodic tilings of regular polygons from two large collections of images. These models are based on a simplification of the representation recently proposed by us that uses complex numbers. We also describe an algorithm for deciding when two representations give the same tiling, which was used to identify coincidences in these collections. [ABSTRACT FROM AUTHOR]

Additive manufacturing processes have the potential to change the way we produce everyday objects. Design for additive manufacturing focuses on dealing with the characteristics and constraints of a given additive process. These constraints include both geometric and material constraints which have a major impact on the feasibility, quality and cost of the printed object. When designing for additive manufacturing, one of the desirable objectives is to reduce the amount of material while maximising the strength of the printed part. For this, the inclusion of cellular structures in the design has been an efficient way to address these constraints while supporting other application-specific requirements. These structures, which are commonly inspired by shapes found in nature, provide high strength while maintaining a low mass. In this paper we propose the adaptive voids algorithm, an automatic approach to generate, given a volume boundary, a parameterised adaptive infill primal and/or dual cellular structure for additive manufacturing. The produced output can potentially be applied in various applications, including design and engineering, architecture, clothing and protective equipment, furniture and biomedical applications. [ABSTRACT FROM AUTHOR]

The increasing popularity of 3D printing is drawing the interest of the research community to the possibilities and challenges of this manufacturing method. Amongst its many uncertainties, we are concerned here with one of its certainties-that reduction of the material required in 3D printing is critical for efficiency and affordability. In this paper, we propose a solution to the computer graphics problem of, given a volume boundary, automatically defining the mesh of a low density internal structure that is 3D-printable. The proposed solution involves two steps. The first step is to define a cell complex partition for the internal space of a volume defined by its boundaries. The second step, is to apply the Skin4Skeleton algorithm, which uses the cell complex dual to produce a 3D-printable cell-complex mesh with a parametrised thickness. [ABSTRACT FROM AUTHOR]