Modeling with Ambient B-Splines
Afbeeldingen
Artikel vergelijken
- Engels
- Paperback
- 9783832536022
- 17 januari 2014
- 125 pagina's
Productbeschrijving
The present thesis introduces a new approach for the generation of Ck - approximants of functions defined on closed submanifolds for arbitrary k in N. In case a function on a surface resembles the three coordinates of a topologically equivalent surface in R3, we even obtain Ck - approximants of closed surfaces of arbitrary topology. The key idea of our method is a constant extension of the target function into the submanifold's ambient space. In case the reference submanifolds are embedded and Ck, the usage of standard tensor product B-splines for the approximation of the extended function is straightforward. We obtain a Ck - approximation of the target function by restricting the approximant to the reference submanifold. We illustrate our method by an easy example in R2 and verify its practicality by application-oriented examples in R3. The first treats the approximation of the geoid, an important reference magnitude within geodesy and geophysics. The second and third example treat the approximation of geometric models. The usage of B-splines not only guarantees full approximation power but also allows a canonical access to adaptive refinement strategies. We elaborate on two hierarchical techniques and successfully apply them to the introduced examples.Concerning the modeling of surfaces by the new approach, we derive numerically robust formulas for the determination of normal vectors and curvature information of a target surface which only need the spline approximant as well as the normal vectors and curvature information of the reference surface.
Productspecificaties
Wij vonden geen specificaties voor jouw zoekopdracht '{SEARCH}'.
Inhoud
- Taal
- en
- Bindwijze
- Paperback
- Oorspronkelijke releasedatum
- 17 januari 2014
- Aantal pagina's
- 125
- Illustraties
- Nee
Betrokkenen
- Hoofdauteur
- Nicole Lehmann
- Hoofduitgeverij
- Logos Verlag Berlin Gmbh
Overige kenmerken
- Extra groot lettertype
- Nee
- Verpakking breedte
- 145 mm
- Verpakking hoogte
- 0 mm
- Verpakking lengte
- 210 mm
- Verpakkingsgewicht
- 0 g
EAN
- EAN
- 9783832536022
Je vindt dit artikel in
- Categorieën
-
Kies gewenste uitvoering
Bindwijze
: Paperback
Prijsinformatie en bestellen
Rapporteer dit artikel
Je wilt melding doen van illegale inhoud over dit artikel:
- Ik wil melding doen als klant
- Ik wil melding doen als autoriteit of trusted flagger
- Ik wil melding doen als partner
- Ik wil melding doen als merkhouder
Geen klant, autoriteit, trusted flagger, merkhouder of partner? Gebruik dan onderstaande link om melding te doen.