An analytical formula for processing of a single sinogram was developed. In this paper a similar approach is used and a formula for processing two-dimensional projections is found. Thus suppression of ring artefacts is organized as a two-dimensional convolution of `averaged' projections with a ...
In this paper, we present a fast and efficient numerical method to solve a two-dimensional fractional evolution equation on a finite domain. This numerical method combines the alternating direction implicit (ADI) approach with the second-order difference quotient in space, the backward Euler in time...
The 3D convolution operation is used to capture relevant features of the three-dimensional data at each time step, while the LSTM mainly processes the temporal evolution within the data sequence. The fusion of both methods results in improved classification performance. Hakim, N.L. et al. [24]...
In the one-dimensional case, the stochastic convolutionin (1.3) has (spatial) regularity,, and thus a straightforward computation yields local well-posedness of (1.1). The situation becomes much more delicate in the two-dimensional setting. In the parabolic setting, Hairer and Shen [24] and Ch...
dimensional deceive; Step three: false generate pre-designed phase with the transmitted signal jammer; Step Four: Expand the Taylor formula based on the decomposition of the transmitted signal independent of the time-dependent and time into two parts; Step Five: Using the convolution methods Design...
1c. Initially, each of five features is input to the Conv_encoder module of the network, comprising a one-dimensional convolution with a convolution kernel of length 3. The primary objective is to balance the dimensionality of five features. For instance, the initial dimension of ESM-2 ...
In Section 3.1, Lemma 1 discloses a relationship between the two-dimensional LCT and the LCHT. In Section 3.2, Lemma 2 establishes an interpolation formula for bandlimited isotropic functions in the LCHT domain. By using Lemma 1, in Section 3.3 Lemma 3 reveals that all of the Fourier ...
is any finite-dimensional representation of g , but in general this class is strictly larger. the article, as well as the proof of theorem 1.1 , which is given at the end of sect. 5 , is split into three parts. the first part, given in sect. 3 , constructs the space ...
FIG. 9 shows the variation of the output Us,x,y,k with the input. FIGS. 4(A) and 4 (B) show the physical interpretation of expression (2). The computation executed by each neuron is the division of the results of two-dimensional convolution by the root-mean-square (rms) of the in...
1. Multi-dimensional interpolation,whose typical representative is two-dimensional interpolation,is considered more general than one-dimensional interpolation. 在科学研究和工程技术中,常遇到数据插值问题,多维插值作为比一维插值更一般的形式,其典型代表是二维插值。