Objective: In this study, we aimed to validate the accuracy of computed tomography-based attenuation correction (CTAC) using the bilinear scaling method.Methods: The measured attenuation coefficient (μm) was compared to a theoretical attenuation coefficient (μt ) using four different CT scanners and an RMI 467 phantom. The effective energy of the CT beam X-rays was calculated, using the aluminu...

We prove that the Lévy walk is characterized by bilinear scaling. This effect mirrors the existence of a form of aging that does not require the adoption of nonstationary conditions.

In this paper, we propose a new scaling algorithm which performs the scaling up/down transform using an area pixel model rather than a point pixel model. The proposed algorithm uses a variable number of pixels of an original image to calculate a pixel of the scaled image. Our algorithm has good characteristics such as fine-edge and good smoothness. Different quality parameters (standard deviati...

This work is concerned with the structure of bilinear minimization problems arising in recovering subsampled and modulated images in parallel magnetic resonance imaging. By considering a physically reasonable simplified model exhibiting the same fundamental mathematical difficulties, it is shown that such problems suffer from poor gradient scaling and non-convexity, which causes standard optimi...

In this paper, pipelining concepts is adopted to increase the processing speed of image scaling algorithms. The proposed algorithm consists of pipelining stages along with a linear space-variant edge detector, a low complicacy sharpening spatial filter, and a simplified bilinear interpolation. The linear space-edge detector is used to discover the image edges by a lowcost catching technique. Th...

We study identifiability for bilinear inverse problems under sparsity and subspace constraints. We show that, up to a global scaling ambiguity, almost all such maps are injective on the set of pairs of sparse vectors if the number of measurements m exceeds 2(s1+ s2)− 2, where s1 and s2 denote the sparsity of the two input vectors, and injective on the set of pairs of vectors lying in known subs...

ABSTRACT: Image scaling is the process of resizing a digital image. It is one of the most important methods used in various applications such as sharpening of an image, image zooming, preserving edge structures in an image and so on. This paper proposes an efficient scaling algorithm for designing an image scaling processor. The proposed scaling algorithm consists of two combined prefilters and...