期刊名称：ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences
印刷版ISSN：2194-9042
电子版ISSN：2194-9050
出版年度：2009
卷号：XXXVIII-7/C4
页码：158-164
出版社：Copernicus Publications
摘要：Area coordinate and the volume coordinate are local coordinate which have been used in the computer geometry modelling and the engineering mechanics finite element calculation. The area coordinate is calculated by ratio of triangle area with the polygon area, the triangle is enclosed by moving point and a boundary edge. The volume coordinate is calculated by ratio of sub-polyhedron volume with the mother polyhedron volume, the sub-polyhedron is enclosed by moving point and a boundary face. The common area coordinates are the triangle area coordinate and the quadrilateral area coordinate. The common volume coordinate are the tetrahedron volume coordinate and hexahedron volume coordinate. The area/volume coordinate possess many excellent characters, which the rectangle coordinate and polar coordinate do not possess. This paper introduces the basic theory about these local coordinate. Especially, the paper detail gives the author's research work about the 3D triangle area coordinate and tetrahedron volume coordinate. The author summarized the eight characters of the tetrahedron volume coordinate. Then the paper gives usage design about the area /volume coordinate application in true 3DGIS
