【摘 要】
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Spherical needlets provide a multiscale decomposition of real square integrable functions on the unit sphere.The original spherical needlet decomposition ha
【机 构】
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Univ.of New South Wales
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Spherical needlets provide a multiscale decomposition of real square integrable functions on the unit sphere.The original spherical needlet decomposition has its coefficients defined by inner product integrals.We use an additional quadrature rule to construct a fully discrete version of the original needlet approximation and prove the convergence error for smooth spherical functions.The theory is illustrated numerically by the approximation for a function of known smoothness,using symmetric spherical designs.
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