Constructing Method and Multi-resolution Expression for Spherical Symmetric Orthogonal Wavelets Based on QTM Grids

Fang Liu · Geography and Geo-Information Science · 2012

Although discrete global grids can realize seamless management of the global spatial data,it is not easy to describe multi-resolution adaptive expression and changes of spherical local data.Address to these issues and with the introduction of spherical manifold,the authors redefine plane wavelet on the sphere based on the framework of the global discrete grids of inscribed octahedron,and construct a spherical discrete,symmetric and orthogonal wavelet with multi-resolution analysis,which can provide locally compact support for balancing data compression and multi-resolution adaptive expression and change on local sphere area.Finally,the authors implement an experimental analysis on the Matlab platform and verify the validity and feasibility of the related methods.

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