scholarly journals Tabulation of Thin Plate Splines on a Very Fine Two-Dimensional Grid

1992 ◽  
pp. 221-244 ◽  
Author(s):  
M. J. D. Powell
Keyword(s):  
Thin Plate ◽  
Two Dimensional ◽  
Thin Plate Splines

scholarly journals Myocardial trajectory estimation for 2D cine DENSE MRI using thin plate splines

2010 ◽  
Vol 12 (S1) ◽  
Author(s):  
Andrew D Gilliam ◽  
Xiaodong Zhong ◽  
Frederick H Epstein
Keyword(s):  
Thin Plate ◽  
Thin Plate Splines ◽  
Trajectory Estimation ◽  
Cine Dense

scholarly journals A mixed finite element discretisation of thin-plate splines

2011 ◽  
Vol 52 ◽  
pp. 518 ◽  
Author(s):  
Bishnu P. Lamichhane ◽  
Stephen Roberts ◽  
Linda Stals
Keyword(s):  
Finite Element ◽  
Thin Plate ◽  
Mixed Finite Element ◽  
Thin Plate Splines

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 Distortion correction of MR data in whole-body small animal PET-MR using 3D thin-plate splines

2014 ◽  
Vol 1 (S1) ◽  
Author(s):  
Lynn Frohwein ◽  
Verena Hoerr ◽  
Cornelius Faber ◽  
Klaus Schäfers
Keyword(s):  
Thin Plate ◽  
Small Animal ◽  
Distortion Correction ◽  
Small Animal Pet ◽  
Whole Body ◽  
Thin Plate Splines ◽  
Animal Pet

scholarly journals Magnetometer Calibration and Field Mapping through Thin Plate Splines

Sensors ◽  
2019 ◽  
Vol 19 (2) ◽  
pp. 280 ◽  
Author(s):  
Marco Muraccini ◽  
Anna Mangia ◽  
Maurizio Lannocca ◽  
Angelo Cappello
Keyword(s):  
Magnetic Field ◽  
Thin Plate ◽  
Indoor Localization ◽  
Information Source ◽  
Attitude Estimation ◽  
Local Magnetic Field ◽  
Simultaneous Estimation ◽  
Thin Plate Splines ◽  
Field Mapping ◽  
Magnetometer Calibration

While the undisturbed Earth’s magnetic field represents a fundamental information source for orientation purposes, magnetic distortions have been mostly considered as a source of error. However, when distortions are temporally stable and spatially distinctive, they could provide a unique magnetic landscape that can be used in different applications, from indoor localization to sensor fusion algorithms for attitude estimation. The main purpose of this work, therefore, is to present a method to characterize the 3D magnetic vector in every point of the measurement volume. The possibility of describing the 3D magnetic field map through Thin Plate Splines (TPS) interpolation is investigated and demonstrated. An algorithm for the simultaneous estimation of the parameters related to magnetometer calibration and those describing the magnetic map, is proposed and tested on both simulated and real data. Results demonstrate that an accurate description of the local magnetic field using TPS interpolation is possible. The proposed procedure leads to errors in the estimation of the local magnetic direction with a standard deviation lower than 1 degree. Magnetometer calibration and magnetic field mapping could be integrated into different algorithms, for example to improve attitude estimation in highly distorted environments or as an aid to indoor localization.

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