Free-form curves and surfaces represented by control points together with well-defined basis functions are widely used in computer aided geometric design. Efficient evaluation of points and derivatives of free-form curves and surfaces plays an important role in interactive rendering or CNC machining. In this paper we show that free-form curves with properly defined basis functions are the solut...

In this paper we present a novel, interactive shape modeling technique: Dynamic Implicit Solid Modeling, which unifies volumetric implicit functions and powerful physics-based modeling. Although implicit functions are extremely powerful in graphics, geometric design, and shape modeling, the full potential of implicit functions is yet to be fully realized due to the lack of flexible and interact...

There are two main transportation engineering approaches to improving road safety: reactive and proactive. The traditional reactive approach consists of implementing the necessary improvements to existing hazardous (black-spot) sites in order to improve safety at these sites. The proactive approach is a collision prevention approach that tries to prevent unsafe road conditions from occurring in...

The spine of an object is an entity that can characterise the object’s topology and describes the object by a lower dimension. It has an intuitive appeal for supporting geometric modelling operations. The aim of this paper is to show how a spine for a PDE surface can be generated. For the purpose of the work presented here an analytic solution form for the chosen PDE is utilised. It is shown th...

This article studies families of curves with monotonic curvature function (MCcurves) and their applications in geometric modelling and aesthetic design. Aesthetic analysis and assessment of the structure and plastic qualities of pseudospirals, which are curves with monotonic curvature function, are conducted for the first time in the field of geometric modelling from the position of technical a...

The design of a family of efficient oil-flooded twin screw air compressors was performed at City University London for Elgi Equipments Coimbatore, India. It was carried out using a software package, which included almost every aspect of the rotor profiling and compressor thermodynamic and geometric modelling with the capacity to transmit calculated output directly into a CAD drawing system. Rac...