Results 1  10
of
3,422
On the bijectivity of thinplate splines
, 2005
"... The thinplate spline (TPS) has been widely used in a number of areas such as image warping, shape analysis and scattered data interpolation. Introduced by Bookstein [1], it is a natural interpolating function in two dimensions, parameterized by a finite number of landmarks. However, even though the ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
The thinplate spline (TPS) has been widely used in a number of areas such as image warping, shape analysis and scattered data interpolation. Introduced by Bookstein [1], it is a natural interpolating function in two dimensions, parameterized by a finite number of landmarks. However, even though
Subdivision Schemes for Thin Plate Splines
, 1997
"... Thin plate splines are a well known entity of geometric design. They are defined as the minimizer of a variational problem whose differential operators approximate a simple notion of bending energy. Therefore, thin plate splines approximate surfaces with minimal bending energy and they are widely ..."
Abstract

Cited by 20 (2 self)
 Add to MetaCart
Thin plate splines are a well known entity of geometric design. They are defined as the minimizer of a variational problem whose differential operators approximate a simple notion of bending energy. Therefore, thin plate splines approximate surfaces with minimal bending energy and they are widely
Approximate Thin Plate Spline Mappings
, 2001
"... The thin plate spline (TPS) is an eective tool for modelling coordinate transformations that has been successfully used in several computer vision applications. Unfortunately the solution requires the inversion of a p p matrix, where p is the number of points in the data set, thus making it impract ..."
Abstract

Cited by 21 (1 self)
 Add to MetaCart
The thin plate spline (TPS) is an eective tool for modelling coordinate transformations that has been successfully used in several computer vision applications. Unfortunately the solution requires the inversion of a p p matrix, where p is the number of points in the data set, thus making
THINPLATE SPLINES FOR PRINTER DATA INTERPOLATION
"... Thinplate spline models have been used extensively for datainterpolation in several problem domains. In this paper, we present a tutorial overview of their theory and highlight their advantages and disadvantages, pointing out specific characteristics relevant in printer data interpolation applicat ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
Thinplate spline models have been used extensively for datainterpolation in several problem domains. In this paper, we present a tutorial overview of their theory and highlight their advantages and disadvantages, pointing out specific characteristics relevant in printer data interpolation
Augmented Thin Plate Spline Approximation in DRM
 Rest in Peace, Book Value, Forbes ASAP
, 1995
"... The dual reciprocity method (DRM) is a popular mathematical technique to solve nonhomogeneous Poisson type equations. The method involves the approximation of the nonhomogeneous term by a set of radial basis functions (RBF) and transferring the resultant domain integral to an equivalent boundary i ..."
Abstract

Cited by 9 (2 self)
 Add to MetaCart
integral. In this work, the augmented thin plate spline (ATPS) is shown to be superior to the frequently used linear RBF for DRM approximation in two dimensions. Comparison of the DRM implementation with augmented and unaugmented thin plate spline is also provided. Keywords: Dual reciprocity method
THINPLATE SPLINE MODELLING OF ELASTIC DEFORMATIONS IN FINGERPRINTS
"... This paper presents a novel minutiae matching method that describes elastic distortions by means of a thinplate spline model and uses that model to normalize the shape of the test fingerprint with respect to the template. The method first determines possible matching minutiae pairs by means of comp ..."
Abstract

Cited by 7 (1 self)
 Add to MetaCart
This paper presents a novel minutiae matching method that describes elastic distortions by means of a thinplate spline model and uses that model to normalize the shape of the test fingerprint with respect to the template. The method first determines possible matching minutiae pairs by means
Geodesic Thin Plate Splines for Image Segmentation
"... Thin Plate Splines are often used in image registration to model deformations. Its physical analogy involves a thin lying sheet of metal that is deformed and forced to pass through a set of control points. The Thin Plate Spline equation minimizes that thin plate bending energy. Rather than using Euc ..."
Abstract
 Add to MetaCart
Thin Plate Splines are often used in image registration to model deformations. Its physical analogy involves a thin lying sheet of metal that is deformed and forced to pass through a set of control points. The Thin Plate Spline equation minimizes that thin plate bending energy. Rather than using
Preconditioners for Low Order Thin Plate Spline Approximations
"... A commonly used method for fitting smooth functions to noisy data is the thinplate spline method. Traditional thinplate splines use radial basis functions and consequently require the solution of a dense linear system of equations whose dimension grows linearly with the number of data points. Her ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
A commonly used method for fitting smooth functions to noisy data is the thinplate spline method. Traditional thinplate splines use radial basis functions and consequently require the solution of a dense linear system of equations whose dimension grows linearly with the number of data points
Thinplate spline approximation for image registration
 In 18th Internat. Conf. of the IEEE Engineering in Medicine and Biology Society
, 1996
"... AbstractThe pointbased registration technique of Bookstein [1] can be seen as an interpolation problem. With this technique an elastic transformation based on thinplate splines is determined which maps the source and target landmarks exactly to each other. However, in real applications the positi ..."
Abstract

Cited by 15 (4 self)
 Add to MetaCart
AbstractThe pointbased registration technique of Bookstein [1] can be seen as an interpolation problem. With this technique an elastic transformation based on thinplate splines is determined which maps the source and target landmarks exactly to each other. However, in real applications
Results 1  10
of
3,422