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This article deals with creating artistic shapes in a cubist style. The authors propose adding cubist features to (or cubification of) time-variant sculptural shapes. A new concept of a 4D cubist camera is introduced for multiple projections from 4D space-time to 3D space, and 3D printing for stop-motion animation is applied. [ABSTRACT FROM AUTHOR]

The SHIVA project was designed to provide virtual sculpting tools for young people with complex disabilities, allowing them to engage with artistic and creative activities that they might otherwise never be able to access. Their creations are then physically built using 3D printing. To achieve this, the authors built a generic, accessible GUI and a suitable geometric modeling system and used these to produce two prototype modeling exercises. These tools were deployed in a school for students with complex disabilities and are now being used for a variety of educational and developmental purposes. This article presents the project's motivations, approach, and implementation details together with initial results, including 3D printed objects designed by young people with disabilities. [ABSTRACT FROM AUTHOR]

The paper presents a novel technique based on extension of a general mathematical method of transfinite interpolation to solve an actual problem in the context of a heterogeneous volume modelling area. It deals with time-dependent changes to the volumetric material properties (material density, colour, and others) as a transformation of the volumetric material distributions in space-time accompanying geometric shape transformations such as metamorphosis. The main idea is to represent the geometry of both objects by scalar fields with distance properties, to establish in a higher-dimensional space a time gap during which the geometric transformation takes place, and to use these scalar fields to apply the new space-time transfinite interpolation to volumetric material attributes within this time gap. The proposed solution is analytical in its nature, does not require heavy numerical computations and can be used in real-time applications. Applications of this technique also include texturing and displacement mapping of time-variant surfaces, and parametric design of volumetric microstructures. [ABSTRACT FROM PUBLISHER]

The article discusses Web-based shape-modeling applications using HyperFun, a high-level programming language for specifying implicit surfaces. Researchers and developers increasingly use implicit surfaces and a more general function representation, or FRep for shape modeling and rendering. These techniques offer a compact mathematical description of complex shapes, natural blending and a rich system of other developed operations. The increasing number of applications highlights the need for methods and software tools for Web-based shape modeling. These applications include Web authoring, multi-user gaming, distance learning and data visualization, 3D retail environments in e-commerce and collaborative computer-aided design and engineering. Many of these application areas have proprietary data representations of shape, making sharing these shapes in collaborative projects a task for dedicated software with restricted distribution and applicability. Several well-known protocols for exchanging geometric data are based mainly on polygonal and parametric surface models, which are quite verbose.