Given a pair of cover and stego images, X and Y, represented in the spatial (pixel) domain, we will denote with W uv ( k ) ( X ) and W uv ( k ) ( Y ), k = 1,2,3, u ∈ {1,…,n1}, v ∈ {1,…,n2}, their corresponding uv th wavelet coefficient in the k th subband of the first decomposition level.
In this equation N x and N y stand for the spatial pixel counts.
The algorithm for the mapping determines the angle between each endmember spectrum and the spectrum of each spatial pixel in the image cube.
The quantification of tumor heterogeneity with molecular images, by analyzing the local or global variation in the spatial arrangements of pixel intensity with texture analysis, possesses a great clinical potential for treatment planning and prognosis.
After depth video processing, the inconsistency and discontinuity in the depth video decrease in the spatial domain, as inconsistent pixels in the time domain have been filtered out.
In the current study a small resolution penalty was however accepted for spatial pixel averaging in order to improve the SNR and reduce the speckle noise.
However, most research works have been proposed in the transform domain because of its energy compaction property which suggests that the distortions introduced by the watermarks into the transform coefficients will spread over all the pixels in the spatial domain so as the changes introduced in these pixels values are visually less significant.
Finally, the discussions and concluding remarks are given in Section 7. Suppose a host image I ∈ M m × n is supposed to be watermarked, where means the image alphabet, e.g., M = 0, 1,..., 255 for a gray scale image, and m and n represent the size of the image in the pixel (spatial) domain.
The index i refers to the specific pixel in the spatial domain, and the k denotes the temporal frame number in the image sequence.
In the Spatial zoom-in mode the pixel size is reduced at the expense of the swath width, which decreases to 725 km; in the Spectral zoom-in mode the reduction comes at the expense of the wavelength range, which is limited to 306 432 nm [29].
To this end, it is proposed to decompress a JPEG image V into the spatial domain to obtain Z, then to estimate the expectation of each pixel in the spatial domain (widehat {mathbf {Z}}) by using a denoising filter.
