The Double Grid Calculation Principle of Map Algebra

doi:10.11947/j.AGCS.2018.20170260

Abstract

Abstract: Large data amount and high precision requirements become new characteristics of scientific computing. With the development of cloud computing, spatial calculation with the requirement for precision at the meter and even sub-meter level becomes more and more common. Because small particle size means that the amount of calculation and the space complexity soar, it is difficult to meet the requirements of the calculation accuracy and efficiency through the mechanical reduction of grid size. This paper first discussed the principle and the key of double grid calculation in the practical calculation. This method made full use of the high accuracy of long distance calculation of map algebra and it is based on the differential formula in the metric calculation, which has a rigorous theoretical foundation. Its implementation, computational complexity and experiment results were analyzed and discussed through the theoretical analysis and experimental research. Then the implementation scheme of double grid computation in practical application was elaborated and discussed in detail. The results showed that this method realized the distance calculation at the high resolution measurement scale and broke through the problem of the applicability of grid methods in the large area calculation in theory and practice.

Key words: map algebra, double grid calculation, metric space, geodesic scale, multi-scale measurement and window

CLC Number:

P208

HU Hai, HAO Dalei, YANG Chuanyong, HU Peng. The Double Grid Calculation Principle of Map Algebra[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(3): 376-384.

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