Numerical approximation method for multiscale model of map curve

Ping Wang; Chen Zhou; Wei Chen; Wanqiang Shen

doi:10.1117/12.2627478

22 April 2022 Numerical approximation method for multiscale model of map curve

Ping Wang, Chen Zhou, Wei Chen, Wanqiang Shen

Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 121631L (2022) https://doi.org/10.1117/12.2627478
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China

Abstract

This paper introduces the spline function approximation theory to the multiscale expression of map curves. For the complex shape of map curves, the large amount of data and multiscale characteristics, we first use the DP algorithm to obtain feature points under different thresholds, and integrating them with the minimum distance visible for the human eye, according to the different average distances between adjacent feature points, to select a suitable linear threshold change, the multiscale representation results when obvious differences are formed. The experiments show that, unlike traditional Fourier series and wavelet transform for the occurrence of point shifts at the feature points of the simplified curves, the PIA method can well balance the overall morphology of the simplified curves and the accuracy of local feature points, and it is feasible to establish a continuous multiscale representation model of map curves by using the method through the selection of continuous thresholds.

Citation Download Citation

Ping Wang, Chen Zhou, Wei Chen, and Wanqiang Shen "Numerical approximation method for multiscale model of map curve", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 121631L (22 April 2022); https://doi.org/10.1117/12.2627478

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KEYWORDS

Data modeling

Multiscale representation

Wavelets

Data storage

Algorithms

Fourier transforms

Wavelet transforms

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