کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631909 | 1340631 | 2011 | 6 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Uniform and refinable grids on elliptic domains and on some surfaces of revolution Uniform and refinable grids on elliptic domains and on some surfaces of revolution](/preview/png/4631909.png)
We construct a bijection from R2R2 to R2R2, which maps rectangles centered at the origin O onto ellipses centered at O , and preserves area. This bijection allows us to construct uniform and refinable grids on elliptic domains. Then, we combine a particular case of this bijection (i.e. that bijection that maps squares into circles) with another area preserving projection from R2R2 to a surface of revolution around Oz. This yields uniform and refinable grids on this surface of revolution. The lines of these grids are situated in horizontal planes, if they are images of squares centered at O. We consider the particular case of the hemisphere and show how the northern hemisphere of the Earth is projected onto a square. Thus, our equiareal maps can be useful for constructing geographical maps of one hemisphere of the Earth onto rectangles.
Journal: Applied Mathematics and Computation - Volume 217, Issue 19, 1 June 2011, Pages 7812–7817