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The universal transformation matrix: Revealing the relationships among different graphical projection methods

 

作者: Eric I. Pas,   P. Aarne Vesilind,  

 

期刊: Computer Applications in Engineering Education  (WILEY Available online 1995)
卷期: Volume 3, issue 1  

页码: 39-48

 

ISSN:1061-3773

 

年代: 1995

 

DOI:10.1002/cae.6180030106

 

出版商: John Wiley&Sons, Inc.

 

数据来源: WILEY

 

摘要:

AbstractThis article discusses the relationships among the different graphical projection techniques used by engineers and architects. These relationships are examined in the context of the transformation matrices that are employed to generate such projections on the computer. The report shows that the transformations that produce parallel (isometric and orthographic) and perspective projections can be derived as special cases of a transformation matrix that produces a three‐point perspective view. For this reason, the latter transformation matrix is referred to here as the “universal transformation matrix.” A better understanding of the different projection techniques, and the relationships among them, emerges from the recognition that all parallel and perspective transformations may be written as special cases of a single, general transformation m

 

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