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On the construction of smooth surfaces.

Fan, Jianhua.

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On the construction of smooth surfaces.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	On the construction of smooth surfaces./
作者:	Fan, Jianhua.
面頁冊數:	88 p.
附註:	Source: Dissertation Abstracts International, Volume: 71-08, Section: B, page: 4999.
Contained By:	Dissertation Abstracts International71-08B.
標題:	Engineering, Computer. -
電子資源:	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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