Mohamed Abdelazim Abdelsamiea Elkomy <br/><br/>
Optimization of 3D representation of singular corner cad models using single cubic NURBS /  
 تكعيبي واحد NURBS التمثيل الأمثل الثلاثى الأبعاد لنماذج التصميم الوحدوى بمساعدة الحاسب باستخدام 
Mohamed Abdelazim Abdelsamiea Elkomy ; Supervised Sayed M. Metwalli 
 - Cairo :   Mohamed Abdelazim Abdelsamiea Elkomy ,   2014 
 - 70 P. :   plans ;   30cm 
<br/><br/>Thesis (M.Sc.) - Cairo University - Faculty of Engineering - Department of Mechanical Design and Production 
<br/><br/> Non - Uniform Rational B - Splines (NURBS) is one of the most powerful tools used to represent curves and surfaces. It is a piecewise parametric approximation to curves and surfaces. It can represent curves and surfaces of any degree but, in the same curve the degree is unique so, it is necessary to find a way to represent lines of degrees higher than one. Lines can be represented but the problem is to identify singular points in the corners. The goal of this work is then to identify single and exact corner point of lines represented by cubic NURBS. By this way a combination of arcs and lines can be represented by one NURBS with error not to exceed 10⁻¹². This combination has exact points in the whole curve or surface as well as corners  
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<br/><br/><label>Subjects--Index Terms: </label>Cubic NURBS Nurbs NURBS representation