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Shape Matching and Object Recognition Using Shape Contexts

by Serge Belongie, Jitendra Malik, Jan Puzicha - IEEE Transactions on Pattern Analysis and Machine Intelligence , 2001
"... We present a novel approach to measuring similarity between shapes and exploit it for object recognition. In our framework, the measurement of similarity is preceded by (1) solv- ing for correspondences between points on the two shapes, (2) using the correspondences to estimate an aligning transform ..."
Abstract - Cited by 1809 (21 self) - Add to MetaCart
similar shapes will have similar shape con- texts, enabling us to solve for correspondences as an optimal assignment problem. Given the point correspondences, we estimate the transformation that best aligns the two shapes; reg- ularized thin plate splines provide a flexible class of transformation maps

Representing twentieth century space-time climate variability, part 1: development of a 1961-90 mean monthly terrestrial climatology

by Mark New, Mike Hulme, Phil Jones - Journal of Climate , 1999
"... The construction of a 0.58 lat 3 0.58 long surface climatology of global land areas, excluding Antarctica, is described. The climatology represents the period 1961–90 and comprises a suite of nine variables: precipitation, wet-day frequency, mean temperature, diurnal temperature range, vapor pressur ..."
Abstract - Cited by 581 (13 self) - Add to MetaCart
, longitude, and elevation using thin-plate splines. The accuracy of the interpolations are assessed using cross validation and by comparison with other climatologies. This new climatology represents an advance over earlier published global terrestrial climatologies in that it is strictly constrained

VERY HIGH RESOLUTION INTERPOLATED CLIMATE SURFACES FOR GLOBAL LAND AREAS

by Robert J. Hijmans, Susan E. Cameron, Juan L. Parra, Peter G. Jones , Andy Jarvis , 2005
"... We developed interpolated climate surfaces for global land areas (excluding Antarctica) at a spatial resolution of 30 arc s (often referred to as 1-km spatial resolution). The climate elements considered were monthly precipitation and mean, minimum, and maximum temperature. Input data were gathered ..."
Abstract - Cited by 553 (8 self) - Add to MetaCart
from a variety of sources and, where possible, were restricted to records from the 1950–2000 period. We used the thin-plate smoothing spline algorithm implemented in the ANUSPLIN package for interpolation, using latitude, longitude, and elevation as independent variables. We quantified uncertainty

Shape matching and object recognition using low distortion correspondence

by Alexander C. Berg, Tamara L. Berg, Jitendra Malik - In CVPR , 2005
"... We approach recognition in the framework of deformable shape matching, relying on a new algorithm for finding correspondences between feature points. This algorithm sets up correspondence as an integer quadratic programming problem, where the cost function has terms based on similarity of correspond ..."
Abstract - Cited by 419 (15 self) - Add to MetaCart
transform, typically a regularized thin plate spline, resulting in a dense correspondence between the two shapes. Object recognition is then handled in a nearest neighbor framework where the distance between exemplar and query is the matching cost between corresponding points. We show results on two

A New Point Matching Algorithm for Non-Rigid Registration

by Haili Chui, Anand Rangarajan , 2002
"... Feature-based methods for non-rigid registration frequently encounter the correspondence problem. Regardless of whether points, lines, curves or surface parameterizations are used, feature-based non-rigid matching requires us to automatically solve for correspondences between two sets of features. I ..."
Abstract - Cited by 356 (3 self) - Add to MetaCart
developed an algorithm---the TPS-RPM algorithm---with the thin-plate spline (TPS) as the parameterization of the non-rigid spatial mapping and the softassign for the correspondence. The performance of the TPS-RPM algorithm is demonstrated and validated in a series of carefully designed synthetic experiments

Preconditioners for Low Order Thin Plate Spline Approximations

by Linda Stals, Stephen Roberts
"... A commonly used method for fitting smooth functions to noisy data is the thin-plate spline method. Traditional thin-plate splines use radial basis functions and conse-quently 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
of the parameters. To ensure that the method is robust an appropriate preconditioner must be used. In this paper we present the discrete thin-plate spline method and explore a set of preconditioners. We discuss some of the properties that are unique to our partic-ular formulation and verify that the multiplicative

On the bijectivity of thin-plate splines

by Anders P Erikson , 2005
"... The thin-plate 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 thin-plate 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

by Henrik Weimer, Joe Warren , 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

by Gianluca Donato, Serge Belongie , 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

Transfinite thin plate spline interpolation

by Aurelian Bejancu - Constr. Approx
"... ar ..."
Abstract - Cited by 3 (2 self) - Add to MetaCart
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