In the integration of geodetic networks with different geodetic coordinate systems, the similarity transformation seems to be the most suitable method because the geodetic coordinate systems are designated to be Cartesian (orthogonal). However, this method may always not be practical to use in most surveying works demanding such high accuracies as the coordinates used in the transformation are ...

1 Distance metrics and similarity measures 2 1.1 Distance metrics . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Vector norm and metric . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 The `p norm and `p metric . . . . . . . . . . . . . . . . . . . . . 4 1.4 Distance metric learning . . . . . . . . . . . . . . . . . . . . . . . 7 1.5 The mean as a similarity measure . . . . . . ...

Using the techniques of quasi-Hermitian quantum mechanics and quantum field theory we use a similarity transformation to construct an equivalent Hermitian Hamiltonian for the Lee model. In the field theory confined to the V/Nθ sector it effectively decouples V , replacing the three-point interaction of the original Lee model by an additional mass term for the V particle and a four-point interac...

Transformation model plays a vital role in medical image processing. This paper describes a new Transformation model (NTM) which is hybrid of linear and non linear Transformations techniques for the detection of tumor. In NTM, patient image is compared with reference images, which is block based. An image similarity measure quantifies the degree of similarity between intensity patterns in two i...

j j j k z T z T z = = ∑ where T is a 2D similarity transformation. Proof: Similarity transformations can be represented using a linear polynomial over the complex plane in the following way. If the similarity transformation T consists of rotation by positive angle θ, uniform scale s and a translation t = tx + ity, then according to the rules of complex numbers: ( ) ( ) i T x iy T z se z t z θ +...

We present a novel approach to shape similarity estimation based on distance transformation and ordinal correlation. The proposed method operates in three steps: object alignment, contour to multilevel image transformation, and similarity evaluation. This approach is suitable for use in shape classification, content-based image retrieval, and performance evaluation of segmentation algorithms. T...

We study the general form of the * –commutator treated as a deformation of the Poisson bracket on the Grassman algebra. We show that, up to a similarity transformation , there are other deformations of the Poisson bracket in addition to the Moyal commutator (one at even and one at odd n, n is the number of the generators of the Grassman algebra) which are not reduced to the Moyal commutator by ...

The magnetohydrodynamic (MHD) flow near a flat plate suddenly set in motion has been studied for a particular class of non-Newtonian power-law fluids. Two different groups of transformations, namely linear group of transformation and a spiral group of transformation are used to derive similarity solutions of the present flow equations. The similarity solution is found in most general form. It i...