This short paper motivates and introduces the tutorial on MGS and spatial computing presented at UCNC 2012.

We investigate the suitability of the functional model of programming as applied to the solid modelling eld of 3D rendering, with particular reference to expressiveness and e ciency. We nd that functional languages with a good implementation can be more e cient than other languages in certain aspects in the rendering process. Furthermore, recent developments in functional languages allow di cul...

In this paper we study analytical solutions of a fourth order partial differential equation subjected to different boundary conditions of solid modelling, and investigate the effects of various factors in the PDE and boundary conditions on the shape of the generated solids. With the proposed modelling technique, we can easily manipulate and modify the shape of the generated solid by altering a ...

With today’s Virtual Reality (VR) systems, it is difficult to directly and precisely create and modify objects in a VR environment. This chapter presents an approach for solid modelling in a VR environment. Solid modelling in the VR environment is performed precisely in an intuitive manner through constraint-based manipulations. A hierarchically structured and constraint-based data model is dev...

Recently, various papers have given consideration to how fuzzy sets might be useful in geometric computing and solid modelling. This paper reviews this previous work and related topics, and adds further observations on the use of fuzzy sets for inexact shape modelling. It is noted that many serious problems remain to be solved. The wide range of solid modelling applications requiring the genera...

Solid freeform fabrication (SFF) is based on a part-centric process model: create a solid model of the part, form planar slices, and fabricate the part by producing all of the polyhedra by any of several methods. A class of applications is emerging which will pull SFF from the part-centric model to a new paradigm in which parts are seen as components of interactive networks. This is precisely t...