Results 1  10
of
4,339
SUSYinspired onedimensional transformation optics
 Optica
, 2014
"... Transformation optics aims to identify artificial materials and structures with desired electromagnetic properties by means of pertinent coordinate transformations. In general, such schemes are meant to appropriately tailor the constitutive parameters of metamaterials in order to control the traje ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
the trajectory of light in two and three dimensions. Here, we introduce a new class of onedimensional optical transformations that exploits the mathematical framework of supersymmetry (SUSY). This systematic approach can be utilized to synthesize photonic configurations with identical reflection
One dimensional transform for H.264 based intra coding,” PCS,2007
"... Two dimensional (2D) discrete cosine transform (DCT) are widely used as the transform method in most of video and image coding area. In general, 2D separable DCT is effective for smoothed regions of which components are highly correlated. When the block to be transformed has directional edges or a f ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
with H.264. Index Terms – video coding, directional one dimensional transform, line prediction 1.
The Contourlet Transform: An Efficient Directional Multiresolution Image Representation
 IEEE TRANSACTIONS ON IMAGE PROCESSING
"... The limitations of commonly used separable extensions of onedimensional transforms, such as the Fourier and wavelet transforms, in capturing the geometry of image edges are well known. In this paper, we pursue a “true” twodimensional transform that can capture the intrinsic geometrical structure t ..."
Abstract

Cited by 513 (20 self)
 Add to MetaCart
The limitations of commonly used separable extensions of onedimensional transforms, such as the Fourier and wavelet transforms, in capturing the geometry of image edges are well known. In this paper, we pursue a “true” twodimensional transform that can capture the intrinsic geometrical structure
Shiftable Multiscale Transforms
, 1992
"... Orthogonal wavelet transforms have recently become a popular representation for multiscale signal and image analysis. One of the major drawbacks of these representations is their lack of translation invariance: the content of wavelet subbands is unstable under translations of the input signal. Wavel ..."
Abstract

Cited by 562 (36 self)
 Add to MetaCart
in more than one domain. Two examples of jointly shiftable transforms are designed and implemented: a onedimensional tran...
Complete discrete 2D Gabor transforms by neural networks for image analysis and compression
, 1988
"... A threelayered neural network is described for transforming twodimensional discrete signals into generalized nonorthogonal 2D “Gabor” representations for image analysis, segmentation, and compression. These transforms are conjoint spatial/spectral representations [lo], [15], which provide a comp ..."
Abstract

Cited by 478 (8 self)
 Add to MetaCart
A threelayered neural network is described for transforming twodimensional discrete signals into generalized nonorthogonal 2D “Gabor” representations for image analysis, segmentation, and compression. These transforms are conjoint spatial/spectral representations [lo], [15], which provide a
Singularity Detection And Processing With Wavelets
 IEEE Transactions on Information Theory
, 1992
"... Most of a signal information is often found in irregular structures and transient phenomena. We review the mathematical characterization of singularities with Lipschitz exponents. The main theorems that estimate local Lipschitz exponents of functions, from the evolution across scales of their wavele ..."
Abstract

Cited by 595 (13 self)
 Add to MetaCart
study separately. We show that the size of the oscillations can be measured from the wavelet transform local maxima. It has been shown that one and twodimensional signals can be reconstructed from the local maxima of their wavelet transform [14]. As an application, we develop an algorithm that removes
A metric for distributions with applications to image databases
, 1998
"... We introduce a new distance between two distributions that we call the Earth Mover’s Distance (EMD), which reflects the minimal amount of work that must be performed to transform one distributioninto the other by moving “distribution mass ” around. This is a special case of the transportation proble ..."
Abstract

Cited by 438 (6 self)
 Add to MetaCart
We introduce a new distance between two distributions that we call the Earth Mover’s Distance (EMD), which reflects the minimal amount of work that must be performed to transform one distributioninto the other by moving “distribution mass ” around. This is a special case of the transportation
On the Hilbert Transform and C 2 Families of Lines
, 1999
"... We are interested in singular integral operators on functions of two variables, which act by performing a one dimensional transform along a particular line in the plane. The choice of lines is to be variable. Thus, for a ..."
Abstract
 Add to MetaCart
We are interested in singular integral operators on functions of two variables, which act by performing a one dimensional transform along a particular line in the plane. The choice of lines is to be variable. Thus, for a
On rigidity of onedimensional maps
 Contemporary Mathematics, AMS series
, 1997
"... Abstract. The regularity of the conjugacy between two onedimensional maps with singular points is considered. We prove that the conjugacy between two nice and mixing quasihyperbolic onedimensional maps is a diffeomorphism if it is an absolutely continuous homeomorphism and the exponents and the as ..."
Abstract

Cited by 9 (7 self)
 Add to MetaCart
and the asymmetries of these two maps at all corresponding singular points are the same. We also discuss the application to geometrically finite onedimensional maps, to Ulamvon Neumann transformations, and to circle expanding maps. 1.
Results 1  10
of
4,339