An improved order of approximation for thin-plate spline interpolation in the unit disc

2000 ◽  
Vol 84 (3) ◽  
pp. 451-474 ◽  
Author(s):  
Michael J. Johnson
Keyword(s):  
Thin Plate ◽  
Unit Disc ◽  
Spline Interpolation ◽  
Thin Plate Spline ◽  
Order Of Approximation

ACCURATE NONLINEAR REGISTRATION FOR TWO-DIMENSIONAL GEL ELECTROPHORESIS IMAGES

2013 ◽  
Vol 21 (03) ◽  
pp. 1350020
Author(s):  
HUA-MEI XIN ◽  
YUEMIN ZHU
Keyword(s):  
Thin Plate ◽  
Gel Electrophoresis ◽  
Protein Identification ◽  
Distance Measure ◽  
Spline Interpolation ◽  
Thin Plate Spline ◽  
Two Dimensional ◽  
Registration Accuracy ◽  
Two Dimensional Gel Electrophoresis ◽  
Nonlinear Registration

Two-dimensional gel electrophoresis (2DGE) images are an important support for the analysis of proteins in proteomics. The registration of 2DGE images is considered as one of key elements in protein identification while it is a difficult problem. This paper proposes a new accurate nonlinear registration approach for 2DGE images, based on the exploitation of both spot distance measure and spot intensity. The method consists of three steps: multi-resolution affine registration, spot pairing and thin-plate spline interpolation. The results on both simulated and real gel images show that the proposed method significantly improves registration accuracy in comparison with thin-plate spline registration techniques.

scholarly journals An Improved Skewness Balancing Filtering Algorithm Based on Thin Plate Spline Interpolation

2019 ◽  
Vol 9 (1) ◽  
pp. 203 ◽  
Author(s):  
Penggen Cheng ◽  
Zhenyang Hui ◽  
Yuanping Xia ◽  
Yao Yevenyo Ziggah ◽  
Youjian Hu ◽  
...  
Keyword(s):  
Thin Plate ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Total Error ◽  
Thin Plate Spline ◽  
Reference Surface ◽  
Complex Environments ◽  
Filtering Algorithm ◽  
Elevation Difference ◽  
Balancing Principle

Most filtering algorithms suffer from complex parameter settings or threshold adjusting. To solve this problem, this paper proposes an improved skewness balancing filtering algorithm based on thin plate spline (TPS) interpolation. The proposed algorithm filters the nonground points in an iterative manner. A reference surface that reflects the fluctuation of the terrain is generated using the TPS interpolation method. Accordingly, the elevation difference from each point to the surface can be calculated. By applying the skewness balancing principle to these elevation differences, nonground points can be removed automatically. To verify the validity and robustness of the proposed method, the datasets provided by the International Society for Photogrammetry and Remote Sensing (ISPRS) were adopted. The experimental results show that this presented method can adapt to complex environments and achieve a higher filtering accuracy than the traditional skewness balancing algorithm. Moreover, in comparison with the other eight filtering methods tested by the ISPRS and four improved filtering methods proposed recently, the proposed method achieved an average total error of 5.39%, which is smaller than that of most of these other methods.

scholarly journals A Combination of TsHARP and Thin Plate Spline Interpolation for Spatial Sharpening of Thermal Imagery

2014 ◽  
Vol 6 (4) ◽  
pp. 2845-2863 ◽  
Author(s):  
Xuehong Chen ◽  
Wentao Li ◽  
Jin Chen ◽  
Yuhan Rao ◽  
Yasushi Yamaguchi
Keyword(s):  
Thin Plate ◽  
Spline Interpolation ◽  
Thin Plate Spline ◽  
Thermal Imagery

THIN PLATE SPLINE INTERPOLATION METHOD APPLICATION TO PREDICT THE SUNFLOWER OIL INCORPORATION IN POLY (ACRYLIC ACID)-STARCH FILMS

2020 ◽  
pp. 134-151
Author(s):  
Talita Goulart da Silva ◽  
Débora Baptista Pereira ◽  
Vinícius Guedes Gobbi ◽  
Layla Ferraz Aquino ◽  
Thassio Brandão Cubiça ◽  
...  
Keyword(s):  
Acrylic Acid ◽  
Thin Plate ◽  
Sunflower Oil ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Thin Plate Spline ◽  
Starch Films ◽  
Poly Acrylic Acid

Thin plate spline interpolation on the unit interval

2007 ◽  
Vol 45 (1-4) ◽  
pp. 167-177 ◽  
Author(s):  
Simon Hubbert ◽  
Stefan Müller
Keyword(s):  
Thin Plate ◽  
Spline Interpolation ◽  
Unit Interval ◽  
Thin Plate Spline

scholarly journals Illumination estimation via thin-plate spline interpolation

2011 ◽  
Vol 28 (5) ◽  
pp. 940 ◽  
Author(s):  
Lilong Shi ◽  
Weihua Xiong ◽  
Brian Funt
Keyword(s):  
Thin Plate ◽  
Spline Interpolation ◽  
Thin Plate Spline ◽  
Illumination Estimation
Sign in / Sign up

Export Citation Format

Share Document