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Optimization of 3D representation of singular corner cad models using single cubic NURBS / Mohamed Abdelazim Abdelsamiea Elkomy ; Supervised Sayed M. Metwalli

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Cairo : Mohamed Abdelazim Abdelsamiea Elkomy , 2014Description: 70 P. : plans ; 30cmOther title:
  • تكعيبي واحد NURBS التمثيل الأمثل الثلاثى الأبعاد لنماذج التصميم الوحدوى بمساعدة الحاسب باستخدام [Added title page title]
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Dissertation note: Thesis (M.Sc.) - Cairo University - Faculty of Engineering - Department of Mechanical Design and Production Summary: 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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Thesis Thesis قاعة الرسائل الجامعية - الدور الاول المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.13.13.M.Sc.2014.Mo.O (Browse shelf(Opens below)) Not for loan 01010110063495000
CD - Rom CD - Rom مخـــزن الرســائل الجـــامعية - البدروم المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.13.13.M.Sc.2014.Mo.O (Browse shelf(Opens below)) 63495.CD Not for loan 01020110063495000

Thesis (M.Sc.) - Cairo University - Faculty of Engineering - Department of Mechanical Design and Production

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

Issued also as CD

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