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On the construction of smooth surfaces.

Fan, Jianhua.

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On the construction of smooth surfaces.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	On the construction of smooth surfaces./
Author:	Fan, Jianhua.
Description:	88 p.
Notes:	Source: Dissertation Abstracts International, Volume: 71-08, Section: B, page: 4999.
Contained By:	Dissertation Abstracts International71-08B.
Subject:	Engineering, Computer. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3416670
ISBN:	9781124130446

On the construction of smooth surfaces.
Fan, Jianhua.

On the construction of smooth surfaces. - 88 p.

Source: Dissertation Abstracts International, Volume: 71-08, Section: B, page: 4999.

Thesis (Ph.D.)--University of Florida, 2010.

Smooth, that is once or twice continuously differentiable surfaces play an important role in Computer Aided Design (CAD), digital movie animation and computer game-character design. Non-Uniform Rational Tensor Product B-Spline Patches are used as a standard representation. But because of their inherent restriction to quadrilateral-grids, topologically only a small set of surfaces can be represented by single tensor-products. For arbitrary topology and shape, also n ≠ 4 quadrilateral patches need to be smoothly connected at some points. In particular, converting a quadrilateral input mesh into a C1 smooth surface with one NURBS patch of degree bi-3 per facet is a classical challenge. A part of this dissertation defines and implements an algorithm for this conversion. Another shows that no polynomial construction of lower degree is possible. A third part of this thesis shows that there is an essentially unique change of variables that is rational linear and suitable for smooth connecting always eight patches. A fourth part of this thesis compares four constructions of C 2 surfaces.

ISBN: 9781124130446Subjects--Topical Terms:

1669061
Engineering, Computer.

On the construction of smooth surfaces.
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245 1 0 $a On the construction of smooth surfaces.
300 $a 88 p.
500 $a Source: Dissertation Abstracts International, Volume: 71-08, Section: B, page: 4999.
500 $a Adviser: Jorg Peters.
502 $a Thesis (Ph.D.)--University of Florida, 2010.
520 $a Smooth, that is once or twice continuously differentiable surfaces play an important role in Computer Aided Design (CAD), digital movie animation and computer game-character design. Non-Uniform Rational Tensor Product B-Spline Patches are used as a standard representation. But because of their inherent restriction to quadrilateral-grids, topologically only a small set of surfaces can be represented by single tensor-products. For arbitrary topology and shape, also n ≠ 4 quadrilateral patches need to be smoothly connected at some points. In particular, converting a quadrilateral input mesh into a C1 smooth surface with one NURBS patch of degree bi-3 per facet is a classical challenge. A part of this dissertation defines and implements an algorithm for this conversion. Another shows that no polynomial construction of lower degree is possible. A third part of this thesis shows that there is an essentially unique change of variables that is rational linear and suitable for smooth connecting always eight patches. A fourth part of this thesis compares four constructions of C 2 surfaces.
590 $a School code: 0070.
650 4 $a Engineering, Computer. $3 1669061
650 4 $a Computer Science. $3 626642
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690 $a 0984
710 2 $a University of Florida. $3 718949
773 0 $t Dissertation Abstracts International $g 71-08B.
790 1 0 $a Peters, Jorg, $e advisor
790 $a 0070
791 $a Ph.D.
792 $a 2010
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3416670