Abstract
A hypsometric map is a type of map used to represent topographic characteristics by filling different map areas with diverging colors. The setting of appropriate diverging colors is essential for the map to reveal topographic details. When lunar real environmental exploration programs are performed, large-scale hypsometric maps with a high resolution and greater topographic detail are helpful. Compared to the situation on Earth, fewer lunar exploration objects are available, and the topographic waviness is smaller at a large scale, indicating that presenting the topographic details using traditional hypsometric map-making methods may be difficult. To solve this problem, we employed the Chang’E2 (CE2) topographic and imagery data with a resolution of 7 m and developed a new hypsometric map-making method by setting the diverging colors based on information entropy. The resulting map showed that this method is suitable for presenting the topographic details and might be useful for developing a better understanding of the environment of the lunar surface.
Highlights
The concept of “entropy”, as redefined by Shannon in 1948 [1], is used to express the amount of information and to quantify the abstraction of information, which is considered to be one of the fundamental elements of information theory
In the study of topographic feature extraction, entropy was used to improve the accuracy of the results of high resolution topographic feature extraction by Sofia et al [5,6], In the study of spatial information aggregation, Batty introduced an approach to the measure locational phenomena in spatial hierarchy using entropy statistics, which might be used in spatial aggregation [7]
The camera is composed of a time delay and integration charge coupled device (TDI CCD), which scans the lunar surface in a linear array push broom imaging mode, capturing the images both from the front-view and back-view along with a flying direction
Summary
The concept of “entropy”, as redefined by Shannon in 1948 [1], is used to express the amount of information and to quantify the abstraction of information, which is considered to be one of the fundamental elements of information theory. The United States executed the Apollo manned lunar exploration program in 1969, which captured a substantial amount of lunar topographic data. With these data, Bowker and Hughes produced a lunar topographic atlas [10]. Japan launched the Kaguya program in 2007.With the captured data, Araki created a global lunar topographic map [14]. We investigate applying the entropy when setting the diverging colors for the map to display the maximum topographic information. The final section presents the conclusions and the suggestions for future research
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