INTRODUCTION DCT image compression. The discrete cosine transform (DCT) is a standard method by which images may be compressed. Initially, the image is divided into 8x8-pixel blocks, each of which is then transformed into its DCT, which is an 8x8 matrix of coefficients. Each coefficient cij , specifies the magnitude of a DCT frequency (or basis function), indexed by i, j . For brevity, we adopt...

Interpreting pixel values as averages over abutting squares mimics the image capture process. Average Matching (AM) exact area resampling involves the construction of a surface with averages given by the pixel values; the surface is then averaged over new pixel areas. AM resampling approximately preserves local averages (error bounds are given). Also, original images are recovered by box filter...

Figure 2. Slope Streaks in the ADV; Left: digitate streaks, image width 220 m; Right: parallel streaks and effect of local topography at lower left; image width 260 m. Slope is 20-30, top to bottom. Slope streaks in the Antarctic Dry Valleys: Characteristics, candidate formation mechanisms, and implications for slope streak formation in the Martian environment J. W. Head, D. R. Marchant, J. L. ...

A generalization of Schauder basis associated with the concept of generalized analytic functions is introduced. Corresponding concepts of density, completeness, biorthogonality and basicity are defined. Also, corresponding concept of the space of coefficients is introduced. Under certain conditions for the  corresponding operators, some properties of the space of coefficients and basicity crite...

Let A be a principally polarized abelian variety of dimension four and let Θ ⊂ A be a symmetric theta-divisor, which we assume to be smooth. Using the Hodge structure on H(Θ) we associate to A two abelian subvarieties J(K) ⊂ J(H) of the intermediate jacobian J(Θ) of Θ of dimensions five and nine respectively. We show that J(H) is generated by the image under the Abel-Jacobi map of the family F ...

In this paper we compare different image quality measures for the gamut mapping problem, and validate them using psychovisual data from four recent gamut mapping studies. The psychovisual data are choice data of the form: given an original image and two images obtained by applying different gamut mapping algorithms, an observer chooses the one that reproduces the original image better in his/he...