Abstract
A digital elevation model (DEM) digitally records information about terrain variations and has found many applications in different fields of geosciences. To protect such digital information, encryption is one technique. Numerous encryption algorithms have been developed and can be used for DEM. A good encryption algorithm should change both the compositional and configurational information of a DEM in the encryption process. However, current methods do not fully take into full consideration pixel structures when measuring the complexity of an encrypted DEM (e.g., using Shannon entropy and correlation). Therefore, this study first proposes that configurational entropy capturing both compositional and configurational information can be used to optimize encryption from the perspective of the Second Law of Thermodynamics. Subsequently, an encryption algorithm based on the integration of the chaos system and linear prediction is designed, where the one with the maximum absolute configurational entropy difference compared to the original DEM is selected. Two experimental DEMs are encrypted for 10 times. The experimental results and security analysis show that the proposed algorithm is effective and that configurational entropy can help optimize the encryption and can provide guidelines for evaluating the encrypted DEM.
Highlights
A digital elevation model (DEM) is a digital representation of terrain variations and can explicitly reveal information about the topographic complexity with computer graphics.With the development of advanced equipment for data acquisition (e.g., high-resolution satellite sensors, unmanned aerial vehicle (UAV), and LiDAR (Light Detection and Ranging)), it is becoming more and more easy to acquire digital elevation elevation models models (DEMs)
This law states that an isolated and closed thermodynamic system can spontaneously evolve towards thermodynamic equilibrium, where its disorder degree is at maximum [22,23,24]
An algorithm based on chaos system and linear prediction is proposed
Summary
A digital elevation model (DEM) is a digital representation of terrain variations and can explicitly reveal information about the topographic complexity with computer graphics. (i) Can we employ a metric tochaotic help optimize an can eninfluence the encryption performance of a chaotic system At this point, for a given image, cryption algorithm based on the chaos system? We know formation (spatial structures) of an image should be considered when designing an enthat bothalgorithm the composition (proportions of its pixels) and configurational information This further suggests that we structures) of an image should be considered when designing an encryption algorithm and may need to find metrics for capturing both compositional and configurational inforwhen evaluating its performance.
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