This paper applies inequality skill, degree elevation of triangular Bézier surfaces and difference operators to deduce the bounds on first and second partial derivatives of rational triangular Bézier surfaces. Further more, we prove that the new bounds are tighter and more effective than the known ones. All the results are obviously helpful for further optimization of geometric design systems. ...

This paper presents a mesh-based geometric modeling method to create tessellated models of general structures, which can be the design results of conformal truss structure design, thermal design, topology design, material design, compliant mechanism design and others. A general structure configuration design format is proposed to describe the structures. A universal structure generating system ...

Geometric modelling has become accepted by all engineering disciplines for a wide range of applications. Many existing and potential applications, particularly in the eld of manufacturing, need various aspects of features technology. This paper describes the current state of features technology and discusses its uses, limitations, and beneets. 3 Introduction A geometric model accurately represe...

this study estimated the magnitude of sexual dimorphism in a relict sheep from catalunya (ne spain), called fardasca,using geometric morphometric techniques. for these analyses, a total of 18 skull specimens (2 adult males and 16 females) were studied. our results suggest that the breed is not cranially dimorphic, so sex determination using landmarks described here as criteria is likely to yiel...

Normally, academic applications of computer-aided design in construction provide a visual presentation of the final state of the project and they are not able to produce changes in the geometry following the construction process. It was developed a didactic prototype that allows physical changes in a building component. This prototype illustrates the construction of a common external wall. Firs...

This paper provides a tutorial and survey of methods for parameterizing surfaces with a view to applications in geometric modelling and computer graphics. We gather various concepts from differential geometry which are relevant to surface mapping and use them to understand the strengths and weaknesses of the many methods for parameterizing piecewise linear surfaces and their relationship to one...