Averaged ratio between complementary profiles for evaluating shape distortions of map projections and spherical hierarchical tessellations
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- 作者：Jin Yan kinian@126.com" class="auth_mail" title="E-mail the corresponding author ; Xiao Song ; songxiao@buaa.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Guanghong Gong ggh@buaa.edu.cn" class="auth_mail" title="E-mail the corresponding author
- 关键词：Spherical tessellation ; Quantitative evaluation ; Shape regularity ; Distortion ; Map projection
- 刊名：Computers & Geosciences
- 出版年：2016
- 出版时间：February 2016
- 年：2016
- 卷：87
- 期：Complete
- 页码：41-55
- 全文大小：6520 K
文摘
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We introduce a shape metric for evaluating spherical hierarchical tessellations.
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Our shape metric is quasi-invariant under rotations, and exhibits simplicity.
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Our metric is effective for map projections and direct spherical subdivisions.
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Our metric and an area metric are used to check the qualities of tessellations.
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Uniform spherical grids and its variant are good choices among methods we evaluated.