2013, 5(5): 63-70, 74.
椭球面上的等角剖分、共形映射与建筑造型
浙江省建筑设计研究院,杭州 310006 |
Equiangular Subdivision and Conformal Mapping of Ellipsoidal Surface Applied to Architecture
ZheJiang Prov.Institute of Architectural Design and Research, Hangzhou 310006, China |
引用本文:
张群力, 黄俊, 程健, 武维毓. 椭球面上的等角剖分、共形映射与建筑造型[J]. 土木建筑工程信息技术,
2013, 5(5): 63-70, 74.
Citation:
Zhang Qunli, Huang Jun, Cheng Jian, Wu Weiyu. Equiangular Subdivision and Conformal Mapping of Ellipsoidal Surface Applied to Architecture[J]. Journal of Information Technologyin Civil Engineering and Architecture,
2013, 5(5): 63-70, 74.
摘要:随着数字技术在建筑设计中的深入运用,国内外出现了许多用经典曲面和自由曲面[
Abstract: With the deepening application of digital technology on architectural design, many buildings using techniques of classical and free curved surfaces appear at home and abroad.As an important classical surface, the ellipsoidal surface can be used more widely than the spherical surface.However, the practical engineering employs more spherical surfaces in the geometric modeling.Discussions about how to mesh the ellipsoidal surface elegantly are rarely seen in domestic literatures, for geometric calculation and analysis of ellipsoidal surfaces are relatively complicated.Besides, it is difficult to solve the differential equation of inclined path of the ellipsoidal surface.This paper adopts the viewpoint of the intrinsic geometry to establish and solve three different differential equations of inclined path of the ellipsoidal surface.Then the analytical solution, the series solution and the numerical solution are obtained.The conformal correspond of the rotational ellipsoid and the plane is discussed and the equidistant-surface equations are presented.Using the method of NURBS and the Rhinoceros-Platform, the process is presented in three-dimensional view through specific examples.
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