Name
Title | ||
|---|---|---|
Comments on: A locally constrained radial basis function for registration and warping of images |
Abstract | ||
|---|---|---|
In a recent paper, Siddiqui et al. introduced a kernel function to be used as a radial basis function (RBF) in image registration tasks. This function is mainly designed so that the resulting deformation is fairly distributed inside its support. The important property of positive definiteness is checked in the paper erroneously, so that the conclusions inferred are wrong. In this communication, we discuss this point and some other methodological errors in the formulation. In addition, we provide some insights into the importance of positive definiteness, concluding that this property may not be critical, or may even be worthless, in certain interpolation problems. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.patrec.2010.11.012 | Pattern Recognition Letters |
Keywords | Field | DocType |
positive definite functions,important property,bochner’s theorem,certain interpolation problem,recent paper,methodological error,radial basis function,positive definiteness,kernel function,interpolation kernels,image registration task,resulting deformation,positive definite function,bochner s theorem | Radial basis function network,Radial basis function,Interpolation,Artificial intelligence,Mathematical optimization,Image warping,Pattern recognition,Algorithm,Positive definiteness,Image registration,Mathematics,Kernel (statistics),Bochner's theorem | Journal |
Volume | Issue | ISSN |
32 | 4 | Pattern Recognition Letters |
Citations | PageRank | References |
1 | 0.36 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Antonio Tristan-Vega | 1 | 187 | 16.88 |
| Verónica García-Pérez | 2 | 22 | 1.81 |