A Multiresolution Tensor Spline Method for Fitting Functions on the Sphere
A Multiresolution Tensor Spline Method for Fitting Functions on the Sphere
复制标题
球面上函数拟合的多分辨率张量样条方法
DOI：
10.1137/s1064827598344388
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
L. Schumaker
中科院分区：
文献类型：
--
作者：
T. Lyche;L. Schumaker
我们提出了我们在1993年的陶尔米纳小波会议上提出的多分辨率方法的细节（见“L样条小波”，Wavelet：Theory，Algorithms，and Applications，C.丘伊湖Montefusco和L. Puccio，eds.，学术出版社，纽约，第。197- 212），其适合于在球面上拟合函数或数据。该方法是基于多项式样条和三角样条的张量积，可以适应于产生的表面是切平面连续或几乎切平面连续。其结果是一个方便的压缩算法处理大量的数据在球体上。我们给出了充分的细节，是非常有效的存储和计算成本方面的计算机实现。我们还展示了几个测试示例的方法的性能。
We present the details of a multiresolution method which we proposed at the Taormina Wavelet Conference in 1993 (see "L-spline wavelets" in Wavelets: Theory, Algorithms, and Applications, C. Chui, L. Montefusco, and L. Puccio, eds., Academic Press, New York, pp. 197--212) which is suitable for fitting functions or data on the sphere. The method is based on tensor products of polynomial splines and trigonometric splines and can be adapted to produce surfaces that are either tangent plane continuous or almost tangent plane continuous. The result is a convenient compression algorithm for dealing with large amounts of data on the sphere. We give full details of a computer implementation that is highly efficient with respect to both storage and computational cost. We also demonstrate the performance of the method on several test examples.