The b-transform

Medical Image Registration Using B-Spline Transform

Hierarchical B-spline has been widely used for shape modeling in many fields. Registration result is achieved by minimizing a cost function which represents the cost associated with the image similarity. In this paper we present an application of this concept in the form of free-form deformation with a newly proposed metric. This new metric combines the mean square metric and the distance of bo...

Space-Time Tradeoffs in the Inverse B-W Transform

Symbolic computation of the Duggal transform

Following the results of cite{Med}, regarding the Aluthge transform of polynomial matrices, the symbolic computation of the Duggal transform of a polynomial matrix $A$ is developed in this paper, using the polar decomposition and the singular value decomposition of $A$. Thereat, the polynomial singular value decomposition method is utilized, which is an iterative algorithm with numerical charac...

ON THE SHEARLET TRANSFORM USING HYPERBOLIC FUNCTIONS

In this paper, we focus on the study of shearlet transform which isdened by using the hyperbolic functions. As a result we check an admissibilitycondition such that implies the reconstruction formula. To this end, we will usethe concept of the classical shearlet, which indicates the position and directionof a singularity.

Symmetric powers and the Satake transform

‎This paper gives several examples of the basic functions‎ ‎introduced in recent years by Ng^o‎. ‎These are mainly‎ ‎conjectures based on computer experiment‎.