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Home > Science, Technology & Agriculture > Technology: general issues > Engineering graphics and draughting > Applications of Subdivision Techniques in Product Development.: (Berichte aus dem Produktionstechnischen Zentrum Berlin)
Applications of Subdivision Techniques in Product Development.: (Berichte aus dem Produktionstechnischen Zentrum Berlin)

Applications of Subdivision Techniques in Product Development.: (Berichte aus dem Produktionstechnischen Zentrum Berlin)


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About the Book

Die digitale Darstellung von Flachen in glatter, parametrischer Form ist im Maschinenbau von zentraler Bedeutung. Um ein Objekt mit Unterstutzung des Computers zu fertigen, ist es notwendig, eine digitale Darstellung dieses Objekts zu finden. Dabei hat sich die Darstellung als Freiformflache als besonders umfassend herausgestellt. Mathematische Grundlage fur solche Darstellungen sind nach Stand der Technik Non-Uniform Rational B-Splines (NURBS). Diese basieren auf einem viereckigen Gitternetz und koennen beliebige Topologien nicht problemlos wiedergeben. Subdivisionflachen wurden als Verallgemeinerung der B-Splines auf allgemeine Topologien entwickelt und haben sich in der Computergraphik weitgehend durchgesetzt. Im Ingenieurbereich wurden sie aus verschiedenen Grunden erst zoegerlich eingesetzt: Um diese Hindernisse zu uberwinden, wird in der vorliegenden Arbeit der sogenannte Faired Interpolating NURBS (FIN) Algorithmus vorgeschlagen. Die Starken des Algorithmus werden an Beispielen aus der Flachenruckfuhrung, dem Industriedesign und der Fertigung durch NC-Frasen aufgezeigt.Es wird somit nachgewiesen, dass Subdivisiontechniken in der Produktentwicklung erfolgreich eingesetzt werden koennen und erhebliche Vorteile gegenuber anderen Methoden der Flachenberechnung haben. The representation of surfaces in smooth, parametric form is of central importance in mechanical engineering. In order to machine a shape using a computer, it is necessary to produce a computer-compatible description of that shape. Subdivision techniques are a surface representation that generalizes B-splines to arbitrary topology. Due to their strong geometric properties, they enjoy growing popularity in computer graphics. Their application in engineering has been much more hesitant because of several reasons. To overcome these hindrance reasons the so-called Faired Interpolating NURBS (FIN) algorithm is introduced in this thesis. The advantages of this algorithm are demonstrated on examples from reverse engineering, industrial design and manufacturing.


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Product Details
  • ISBN-13: 9783816765769
  • Publisher: Fraunhofer IRB Verlag
  • Publisher Imprint: Fraunhofer Irb Verlag
  • Height: 210 mm
  • No of Pages: 136
  • Width: 148 mm
  • ISBN-10: 3816765769
  • Publisher Date: 13 Sep 2004
  • Binding: Paperback
  • Language: English
  • Series Title: Berichte aus dem Produktionstechnischen Zentrum Berlin


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