形形色色的插值法中,有这样一种插值方法,人们称之为样条插值(spline interpolation)—— 这时候,有的小朋友想要抢答了:我知道我知道,就是三次样条插值嘛!—— 我曾经也是想当然的以为,“样条插值”就是满足某种特殊条件的三次插值,虽然认识到这仅仅是基于对一元函数插值的片面理解,但还是会以为从一元函数到二元函数...
The thin plate spline (TPS) is an interpolation approach that has been developed to investigate a frequently occurring problem in geosciences: the modelling of scattered data. In this paper, we carry over the concept of the thin plate spline from the plane to the sphere. To develop the ...
One can also fit a thin plate spline to the same data by: p=1; st=tpaps([xData',yData'],zData',p) The resulting structure, st, includes st.coefs, which is a vector of 12 coefficients. By setting p=1, tpaps() returns an exact-fitting thin plate spline. As p decreases toward...
Soycan, A.; Soycan, M.: Digital elevation model production from scanned topographic contour maps via thin plate spline interpolation. Arab. J. Sci. Eng. 34(1A) 121–134 (2009)Soycan A., Soycan M.: Digital elevation model production from scanned topographic contour maps via thin plate ...
薄板样条插值(thin plate spline)是一种基于特征点(landmark)的图像形变算法, 其解决的是如果用一个薄钢板的形变来模拟某种2D形变, 在确保特征点能够尽可能匹配的情况下, 使得钢板的弯曲量(deflection)最小. 这是一种二维图像映射到三维空间形变再投影的方法, 这种方法可以对图像进行简单可控的形变, 本文使用这种方...
S.: Thin plate spline interpolation on the unit interval - Hubbert, Müller - 2007 () Citation Context ...tion is 0. boundary conditions. This section studies the interpolation properties of these kernels on suitably homogeneous functions. The first function that we consider is related to a ...
Jobst AM, Kingston DG, Cullen NJ, Sirguey P. Combining thin-plate spline interpolation with a lapse rate model to produce daily air temperature estimates in a data-sparse alpine catchment. Int J Climatol. 2017 Jan 1; 37(1):214-29.
Comparison of thin plate spline, polynomial, CI-function and Shepard's interpolation techniques with GPS-derived DEM. JAG., 3(2): 155-161.Algarni, D.A. Comparison of thin plate spline, polynomial, C I--Function and Shepard's interpolation techniques with GPS-derived DEM. Int. J. Appl....
We were convinced that thin plate spline (TPS) functions could play an important role in developing effective software for image registration and change detection, but initially we encountered some computational challenges when using TPS functions on mid-size to large problems. Fortunately, we were ...
: The uniform convergence of thin plate spline inter- polation in two dimensions.Numer. Math. 107-128, 1994M. J. D. Powell, "The uniform convergence of thin plate spline interpolation in two dimensions," Numerishce Mathematik, vol. 68, pp. 107-128, 1994. [17] David G. Lowe, ...