Convergence rates of "thin plate" smoothing splines wihen the data are noisy

1979 ◽  
pp. 233-245 ◽  
Author(s):  
Grace Wahba
Keyword(s):  
Thin Plate ◽  
Convergence Rates ◽  
Smoothing Splines ◽  
Thin Plate Smoothing Splines

scholarly journals On the Horizontal Scale of Elevation Dependence of Australian Monthly Precipitation

2005 ◽  
Vol 44 (12) ◽  
pp. 1850-1865 ◽  
Author(s):  
Jason J. Sharples ◽  
Michael F. Hutchinson ◽  
Damian R. Jellett
Keyword(s):  
Smoothing Splines ◽  
Climatic Conditions ◽  
Monthly Precipitation ◽  
Digital Elevation ◽  
Australian Continent ◽  
Version 2.0 ◽  
Thin Plate Smoothing Splines ◽  
Local Averages ◽  
Insight Into

Abstract Determination of the scale of the interaction between precipitation and topography is important for the accurate interpolation of rainfall in mountainous areas and also provides insight into the physical processes involved. In this paper, trivariate thin-plate smoothing splines are used to investigate the scale of interaction between monthly precipitation and topography by interpolating monthly rainfall over three subregions of the Australian continent, incorporating different climatic conditions and rainfall types. The interpolations are based upon elevations derived from digital elevation models (DEMs) of various resolutions. All of the DEMs are local averages of version 2.0 of the 9-s-resolution DEM of Australia. The results suggest that the optimal scale of the interaction between precipitation and topography, as it pertains to the elevation-dependent interpolation of monthly precipitation in Australia, is between 5 and 10 km. This is in agreement with results of similar studies that addressed daily precipitation over Switzerland.

scholarly journals Verifying convergence rates of discrete thin-plate splines in 3D.

2005 ◽  
Vol 46 ◽  
pp. 516 ◽  
Author(s):  
Linda Stals ◽  
Stephen Roberts
Keyword(s):  
Thin Plate ◽  
Convergence Rates ◽  
Thin Plate Splines

scholarly journals Can monthly precipitation interpolation error be reduced by adding periphery climate stations? A case study in China's land border areas

2016 ◽  
Vol 8 (1) ◽  
pp. 102-113
Author(s):  
Jianyong Ma ◽  
Xiaodong Yan ◽  
Shanshan Hu ◽  
Yan Guo
Keyword(s):  
Absolute Error ◽  
Smoothing Splines ◽  
Interpolation Error ◽  
Monthly Precipitation ◽  
Continuous Precipitation ◽  
Interpolation Accuracy ◽  
Border Areas ◽  
Thin Plate Smoothing Splines ◽  
Climate Studies

Minor interpolation error of spatially continuous precipitation is increasingly in demand to support many climate studies. In this paper, based on the thin-plate smoothing splines (ANUSPLIN), we studied the effects of adding periphery stations on monthly precipitation interpolation errors in China with 184 stations from neighboring countries during 1971–2000. Here, we show that with the exception of the northern piedmont of the Himalayas, the interpolation accuracy of monthly precipitation was improved greatly in China's border areas. Mean absolute error was reduced by an average of 2.8 mm month−1 across 21 withheld stations. By incorporating 184 foreign stations into interpolation, the overestimated precipitation in the northern piedmont of the Himalayas can be primarily attributed to the drawback that ANUSPLIN had difficulty estimating sharply varying rain shadows in the Qinghai–Tibetan Plateau. Overall, these results mentioned above emphasized the importance of periphery stations to generate gridded precipitation datasets and the limitation of ANUSPLIN to simulate terrain-induced climate transitions.

Forming of thin plate with diode laser

2001 ◽  
Author(s):  
Toshiyuki Miyazaki ◽  
Masatoshi Saito ◽  
Shunro Yoshioka ◽  
Tsuyoshi Tokunaga ◽  
Tadashi Misu ◽  
...  
Keyword(s):  
Diode Laser ◽  
Thin Plate
Sign in / Sign up

Export Citation Format

Share Document