利用小波理论计算物理大地测量中的奇异积分

基金项目: 国家测绘局测绘科技发展基金,95034

详细信息

Computing the Singular Integrals in Physical Geodesy by Using Wavelet Theory

Dept. of tusic Courses, Zhengzhou Institute of Surveying and Mapping. 66 Middle Longhai Road, Zhengzhou. China, 450052

摘要: 利用小波理论讨论了奇异积分的计算问题,用实例说明了一维情况下计算的快速性和准确性。与Fourier变换法相比,列举了小波理论的优点,肯定了在局部重力场研究中小波理论用于实际的重要性。
- 小波理论 /
- 奇异积分 /
- 物理大地测量 /
- Harr尺度函数
Abstract: The computations of singular integrals are an important chain for practical applications of physical geodesy. It is our purpose in this paper to investigate the problem of computing singular integrals by means of wavelet theory. The fast operation and high precision have been illustrated by a practical example for one-dimension case. As a comparison with Fourier transform, kinds of advantages of wavelet theory have been shown up. Definetly to say, wavelet theory is a great important tool for practical applications to study local gravity field.
- wavelet theory /
- singular integral /
- physical geodesy /
- Harr scaling function