Paper
9 December 2015 DEM interpolation weight calculation modulus based on maximum entropy
Tian-wei Chen, Xia Yang
Author Affiliations +
Proceedings Volume 9808, International Conference on Intelligent Earth Observing and Applications 2015; 980838 (2015) https://doi.org/10.1117/12.2208124
Event: International Conference on Intelligent Earth Observing and Applications, 2015, Guilin, China
Abstract
There is negative-weight in traditional interpolation of gridding DEM, in the article, the principle of Maximum Entropy is utilized to analyze the model system which depends on modulus of space weight. Negative-weight problem of the DEM interpolation is researched via building Maximum Entropy model, and adding nonnegative, first and second order’s Moment constraints, the negative-weight problem is solved. The correctness and accuracy of the method was validated with genetic algorithm in matlab program. The method is compared with the method of Yang Chizhong interpolation and quadratic program. Comparison shows that the volume and scaling of Maximum Entropy’s weight is fit to relations of space and the accuracy is superior to the latter two.
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Tian-wei Chen and Xia Yang "DEM interpolation weight calculation modulus based on maximum entropy", Proc. SPIE 9808, International Conference on Intelligent Earth Observing and Applications 2015, 980838 (9 December 2015); https://doi.org/10.1117/12.2208124
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KEYWORDS
Mathematical modeling

Genetic algorithms

Data modeling

Statistical analysis

Optimization (mathematics)

Analytical research

Computer programming

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