Isotropic Diffusion(各向同性扩散)研究综述
Isotropic Diffusion 各向同性扩散 - This is followed by fusion of these generated multi-exposure images using nonlinear Anisotropic Diffusion (AD). [1] The speckle reducing anisotropic diffusion (SRAD) filter is extensively used to process the ultrasound image. [2] The objective of the work is to compare the performance of two filters, one isotropic and another one of anisotropic diffusion based on gradient. [3] Nonlinear anisotropic diffusion (NAD) filtering is a procedure based on nonlinear evolution PDEs which seeks to improve images qualitatively by removing noise while preserving details and even enhancing edges. [4] The proposed methodology includes a combinational approach of anisotropic diffusion and Laplacian pyramid leading to image enhancement. [5] Both oblate and prolate particles exhibit an anisotropic diffusion with respect to the orientation of the nematic director. [6] This study proposes a speckle noise reduction algorithm while using the speckle reducing anisotropic diffusion (SRAD) filter, discrete wavelet transform (DWT), soft threshold, improved guided filter (IGF), and guided filter (GF), with the aim of removing speckle noise. [7] The images were normalized through gray scaling and anisotropic diffusion. [8] We propose the use of anisotropic diffusion to include environmental factors of the evaluated geographic area in the traditional crime prediction model, thereby aiming to predict crime occurrence at a finer scale regarding spatiotemporal aspects and environmental similarity. [9] The proposed method works with the Speckle Reducing Anisotropic Diffusion (SRAD) in combination with the Discrete Wavelet Transform (DWT) using Bayesian Threshold. [10] First, anisotropic diffusion is used to decompose the source images into base and detail layers. [11] Compared to the other smoothing methods, such as anisotropic diffusion, comparative filters, guided and rolling guidance filters, the benefit of our method is that it natively works with the image structure – thickness map, so it does not depend on the various levels of image noise, lightning conditions and effects. [12] Advanced methods are targeted: wavelet transform-based algorithms with Daubechies, symlets, curvelets, contourlets, patch-based methods such as BM3D, NL-means algorithms and deep learning approaches; in addition, classical spatial filtering methods are considered, such as Wiener, median, Gauss filtering, and adaptive filtering approaches such as anisotropic diffusion and synthetic aperture radar filtering. [13] Enhancement of mammograms is done by anisotropic diffusion. [14] Natural liquids can contain self-aligned molecules (such as liquid crystals and biological membranes) which give them unique properties of anisotropic diffusion, coupling between the molecular orientation and flow, etc. [15] These two sources are effectively and efficiently fused by combining ideas from anisotropic diffusion and semi-global matching. [16] We present a suite of high-resolution cosmological simulations, using the FIRE-2 feedback physics together with explicit treatment of magnetic fields, anisotropic conduction and viscosity, and cosmic rays (CRs) injected by supernovae (including anisotropic diffusion, streaming, adiabatic, hadronic and Coulomb losses). [17] Therefore, in this work we present a comparative study of ten filters for the elimination of noise in confocal microscopy: median, anisotropic diffusion, bilateral, propagated, improved propagated, Rudin-Osher-Fatemi (ROF), TVL1, non-local means, K-SVD, and Wavelet 'A trous' and Haar filters, with and without preprocessing images with the Wiener filter, taking as criteria the noise reduction and the conservation of edges. [18] They include combinations of CNN and "classical" algorithms like Non-Local Means, BM3D, Bilateral, Anisotropic diffusion, Total Variation (TV), etc. [19] We develop a new theoretical model called anisotropic diffusion through transient trapping in zones to explain CTCF dynamics. [20] Specifically, directional water diffusivity (anisotropic diffusion) within neural tissues can provide information about axoplasmic flow and through that derive the histological architecture and microstructure of nerves, tract course and integrity, the severity of peripheral neuropathies, and potentially serve as a marker for nerve regeneration. [21] This observed anisotropic diffusion is explained here by determining the orientation-dependent dif. [22] We model the contribution of the nearest young supernova remannt Vela to the local cosmic ray flux taking into account both the influence of the Local Superbubble and the effect of anisotropic diffusion. [23] In this paper, a local activity measurement of the clipped and normalized variance or standard deviation is proposed to drive anisotropic diffusion and relative total variation (RTV) to work better for structural preservation. [24]随后使用非线性各向异性扩散 (AD) 融合这些生成的多重曝光图像。 [1] 散斑减少各向异性扩散 (SRAD) 滤波器广泛用于处理超声图像。 [2] 这项工作的目的是比较两种过滤器的性能，一种是各向同性的，另一种是基于梯度的各向异性扩散。 [3] 非线性各向异性扩散 (NAD) 滤波是一种基于非线性演化 PDE 的程序，旨在通过去除噪声同时保留细节甚至增强边缘来定性地改善图像。 [4] 所提出的方法包括导致图像增强的各向异性扩散和拉普拉斯金字塔的组合方法。 [5] 扁圆形和扁长形颗粒都表现出关于向列导向器方向的各向异性扩散。 [6] 本研究提出了一种散斑降噪算法，同时使用散斑减少各向异性扩散（SRAD）滤波器、离散小波变换（DWT）、软阈值、改进的引导滤波器（IGF）和引导滤波器（GF），以去除散斑。噪音。 [7] 通过灰度缩放和各向异性扩散对图像进行归一化。 [8] 我们建议使用各向异性扩散将评估地理区域的环境因素包括在传统的犯罪预测模型中，从而旨在在时空方面和环境相似性方面以更精细的尺度预测犯罪发生。 [9] 所提出的方法与使用贝叶斯阈值的离散小波变换 (DWT) 结合使用散斑减少各向异性扩散 (SRAD)。 [10] 首先，各向异性扩散用于将源图像分解为基础层和细节层。 [11] 与其他平滑方法相比，如各向异性扩散、比较滤波器、引导和滚动引导滤波器，我们的方法的好处是它与图像结构 - 厚度图原生配合，因此它不依赖于图像的各个层次噪音、闪电条件和影响。 [12] 针对高级方法：具有 Daubechies、symlets、curvelet、contourlets 的基于小波变换的算法、基于补丁的方法，如 BM3D、NL-means 算法和深度学习方法；此外，还考虑了经典的空间滤波方法，如维纳、中值、高斯滤波，以及自适应滤波方法，如各向异性扩散和合成孔径雷达滤波。 [13] 乳房 X 线照片的增强是通过各向异性扩散完成的。 [14] 天然液体可以含有自排列分子（如液晶和生物膜），赋予它们独特的各向异性扩散、分子取向和流动耦合等特性。 [15] 通过结合各向异性扩散和半全局匹配的思想，这两个来源得到了有效和高效的融合。 [16] 我们提出了一套高分辨率宇宙学模拟，使用 FIRE-2 反馈物理以及对磁场、各向异性传导和粘度以及超新星（包括各向异性扩散、流动、绝热、强子）注入的宇宙射线 (CR) 的显式处理和库仑损失）。 [17] 因此，在这项工作中，我们对用于消除共聚焦显微镜中噪声的十个滤波器进行了比较研究：中值、各向异性扩散、双边、传播、改进传播、Rudin-Osher-Fatemi (ROF)、TVL1、非局部均值、 K-SVD、小波 'A trous' 和 Haar 滤波器，使用和不使用 Wiener 滤波器对图像进行预处理，以降噪和边缘守恒作为标准。 [18] 它们包括 CNN 和“经典”算法的组合，如非局部均值、BM3D、双边、各向异性扩散、总变差 (TV) 等。 [19] 我们开发了一种新的理论模型，称为各向异性扩散，通过区域中的瞬态捕获来解释 CTCF 动力学。 [20] 具体而言，神经组织内的定向水扩散（各向异性扩散）可以提供有关轴浆流动的信息，并通过这些信息得出神经的组织学结构和微观结构、束走行和完整性、周围神经病变的严重程度，并可能作为神经再生的标志物. [21] 这种观察到的各向异性扩散在这里通过确定与方向相关的差异来解释。 [22] 我们模拟了最近的年轻超新星残骸船帆对局部宇宙射线通量的贡献，同时考虑了局部超级气泡的影响和各向异性扩散的影响。 [23] 在本文中，提出了一种剪裁和归一化方差或标准偏差的局部活动测量，以驱动各向异性扩散和相对总变化 (RTV)，以更好地保护结构。 [24]
partial differential equation 偏微分方程
The proposed model is a fusion of Maximum Likelihood Expectation Maximization (MLEM) with partial differential equation based anisotropic diffusion (AD) filter. [1] Then the noise of the resultant acceleration (vertical direction) signal is removed by the smoothing process of the anisotropic diffusion based on the partial differential equation. [2] The innovation of this method lies in the introduction of anisotropic diffusion equation of partial differential equation. [3] The output of modified OSL undertakes in Fourth order partial differential equation (PDE) based Anisotropic Diffusion regularization approach to deal with an ill-posed. [4] In this paper, we propose an anisotropic diffusion partial differential equation (PDE) driven hybrid CNN framework, named PM-HCNN. [5] This paper proposes a despeckling approach named the Gabor-based anisotropic diffusion coupled with the lattice Boltzmann method (GAD-LBM), which uses the lattice Boltzmann method (LBM) to fast solve the partial differential equation of an anisotropic diffusion model embedded with the Gabor edge detector. [6] To address this problem, an improved partial differential equation method for neutron image denoising is proposed, in which the anisotropic diffusion properties are considered. [7]所提出的模型是最大似然期望最大化（MLEM）与基于偏微分方程的各向异性扩散（AD）滤波器的融合。 [1] 然后通过基于偏微分方程的各向异性扩散的平滑过程去除合成加速度（垂直方向）信号的噪声。 [2] nan [3] nan [4] nan [5] nan [6] nan [7]
nonlinear second order 非线性二阶
The considered nonlinear second-order anisotropic diffusion model is then particularized for an image restoration task. [1] So, the second section describes the anisotropic diffusion models for image restoration based on nonlinear second-order parabolic and hyperbolic partial differential equations, proposed by us. [2] It is based on a nonlinear second-order anisotropic diffusion-based model that is adapted for the Poisson distribution. [3] The proposed restoration technique is based on a nonlinear second-order anisotropic diffusion model that removes effectively the additive and multiplicative noise, and also overcomes the unintended effects, while preserving the photo's details. [4]然后将所考虑的非线性二阶各向异性扩散模型专门用于图像恢复任务。 [1] 因此，第二部分描述了我们提出的基于非线性二阶抛物线和双曲偏微分方程的图像恢复的各向异性扩散模型。 [2] nan [3] nan [4]
cylindrical representative volume 圆柱代表体积
The goal of the proposed review paper is to comprise a collection of the knowledge of the last seven decades dealing with the following topics: • stress fields induced by edge and screw dislocation; a presentation of the most recent solution technique and discussion of previous solutions; • eigenstrains of carbon and hydrogen atoms placed in octahedral and tetrahedral sites; a selection of the values of reliable sources; • assembling of the interstitial atoms, acting as inclusions with a misfit eigenstrain state, in cylindrical representative volume elements; • eigenstrain states in cylindrical representative volume elements due to occupancy of interstitial atoms described by X1, X2 and X3; • eigenstress fields generated by eigenstrains in cylindrical representative volume elements; • formulation of the generalized chemical potential of interstitial atoms in the stressed bcc lattice; • anisotropic diffusion equations for interstitials in a stressed bcc lattice, accounting for elastodiffusion and the effect of occupancy of different types of interstitial sites. [1]所提议的评论论文的目标是收集过去七十年中涉及以下主题的知识： • 由刃位错和螺旋位错引起的应力场；介绍最新的解决方案技术并讨论以前的解决方案； • 位于八面体和四面体位点的碳原子和氢原子的本征应变；选择可靠来源的价值； • 间隙原子的组装，作为具有失配特征应变状态的夹杂物，在圆柱形代表体积元素中； • 由于X1、X2 和X3 所描述的间隙原子的占据，圆柱体代表体积元素中的本征应变状态； • 由圆柱形代表体积元素中的特征应变产生的特征应力场； • 应力体心立方晶格中间隙原子的广义化学势的公式化； • 应力体心立方晶格中间隙的各向异性扩散方程，解释了弹性扩散和不同类型间隙位置的影响。 [1]
skeleton strength map 骨骼强度图
Firstly, we propose advanced skeleton strength map (ASSM) algorithm to create the skeleton which computes the skeleton strength map by isotropic diffusion on the gradient vector field, selects critical points from the skeleton strength map and connects them by Kruskal's algorithm. [1]首先，我们提出了先进的骨架强度图（ASSM）算法来创建骨架，通过梯度矢量场上的各向同性扩散计算骨架强度图，从骨架强度图中选择关键点并通过Kruskal算法将它们连接起来。 [1]
Restricted Isotropic Diffusion 受限的各向同性扩散
Amyloid-b-42 positively correlated with restricted isotropic diffusion in several white matter tracts. [1] Contrary to the conventional wisdom that apparent diffusion coefficient (ADC) negatively correlates with increased tumor cellularity, we demonstrate disagreement between ADC and histologically confirmed tumor cellularity in glioblastoma specimens, whereas DBSI-derived restricted isotropic diffusion fraction positively correlated with tumor cellularity in the same specimens. [2]淀粉样蛋白-b-42 与几个白质束中的限制性各向同性扩散呈正相关。 [1] 与表观扩散系数 (ADC) 与肿瘤细胞性增加呈负相关的传统观点相反，我们证明了 ADC 与胶质母细胞瘤标本中组织学证实的肿瘤细胞性之间存在分歧，而 DBSI 衍生的限制性各向同性扩散分数与同一标本中的肿瘤细胞性呈正相关. [2]
isotropic diffusion filter 各向同性扩散滤光片
First, to reduce noise, an improved curvature anisotropic diffusion filter is applied, which simultaneously stores edge information. [1] The evaluated filters were Coherence-Enhancing Diffusion (CED), Speckle Reducing Anisotropic Diffusion (SRAD), Detail-Preserving Anisotropic Diffusion (DPAD), and Anisotropic Diffusion Filter with Memory Based on Speckle (ADMSS). [2] The proposed algorithm utilizes a powerful anisotropic diffusion filter to denoise the image. [3] It involves preprocessing of the acquired retinal SD-OCT image (B-scan) using the proposed automatic Anisotropic diffusion filter, followed with contrast stretching to suppress intrinsic speckle noise without blurring structural edges. [4] In this paper, we propose a non-local weighted operational anisotropic diffusion filter and evaluate its effect on magnetic resonance images and on kV/CBCT radiotherapy images. [5] Initially, the images are filtered using anisotropic diffusion filter. [6] An anisotropic diffusion filter is used to remove the noise and to smooth the digital images. [7] Anisotropic diffusion filters can be used to reduce noise and preserve the edges in the image. [8] An anisotropic diffusion filter was used to reduce speckle noise before implementation of the edge detection method, which consists of three characteristic steps. [9] The images obtained were filtered using a combination of linear filters and anisotropic diffusion filter. [10] Because of the isotropic diffusion filter applied in this model, USM enhanced the edge information and noise simultaneously. [11] OBJECTIVE To develop a novel pulmonary vessel segmentation approach by incorporating vessel enhancement filters and the anisotropic diffusion filter with the variational region growing. [12] Therefore, the spatial filter can be adapted according to the amount of information in each area, so that small features are reprojected in the Kernel PCA domain where image details are reconstructed efficiently, and large features are denoised by an anisotropic diffusion filter to recover the homogenous regions. [13] To effectively balance speckle smoothing and preservation of edges and radiation, a novel anisotropic diffusion filter was developed that uses a directional coherent coefficient. [14] Firstly, anisotropic diffusion filter is applied for removal of noise because input MRI images are mostly noisy and inhomogeneous contrast. [15] The region of interest (ROI) is enhanced using a proposed partial differential diffusion filter (PDDF) which is a modified form of anisotropic diffusion filter. [16] The Anisotropic Diffusion Filter is an image smoothing method often applied to improve segmentation and classification tasks. [17] In this paper we compare two different methods to filter prediction signals in video coding: The anisotropic diffusion filter modeled using a (modified) heat equation and the ADMM (Alternating Direction Method of Multipliers) filter using directional total variation. [18] In the preprocessing step, anisotropic diffusion filter used to filter unwanted distortions from MRI image. [19] In this study, we propose an improved adaptive anisotropic diffusion filter to effectively reduce noise and reinforce image contours. [20] Furthermore, we altered the speckle reducing anisotropic diffusion filter to improve the performance of disturbance suppression. [21] The images obtained by this technique are processed with an anisotropic diffusion filter to reduce the noise and preserve edges. [22] The technique presented takes in different image processing techniques for vessel extraction, viz image enhancement and smoothening with contrast-limited adaptive histogram equalization (CLAHE) and anisotropic diffusion filter, respectively, segmentation by Kirsch’s template and morphological cleaning to get the final segmented image. [23] Another technique used for characterizing spatial information on the images at different scales is based on computing profiles relying on edge-preserving filters such as anisotropic diffusion filters. [24] This is emphasized in the implementation of the anisotropic diffusion filter and illumination correction method. [25] This non-invasive and less expensive methodology is composed of a contrast enhancement algorithm, an anisotropic diffusion filter (denoising) and an edge detector. [26]首先，为了减少噪声，应用了改进的曲率各向异性扩散滤波器，它同时存储边缘信息。 [1] 评估的滤波器是相干增强扩散 (CED)、减少散斑的各向异性扩散 (SRAD)、保留细节的各向异性扩散 (DPAD) 和基于散斑记忆的各向异性扩散滤波器 (ADMSS)。 [2] 所提出的算法利用强大的各向异性扩散滤波器对图像进行去噪。 [3] 它涉及使用所提出的自动各向异性扩散滤波器对获得的视网膜 SD-OCT 图像（B 扫描）进行预处理，然后进行对比度拉伸以抑制内在散斑噪声而不模糊结构边缘。 [4] 在本文中，我们提出了一种非局部加权操作各向异性扩散滤波器，并评估其对磁共振图像和 kV/CBCT 放射治疗图像的影响。 [5] 最初，使用各向异性扩散过滤器过滤图像。 [6] 各向异性扩散滤波器用于去除噪声和平滑数字图像。 [7] 各向异性扩散滤波器可用于减少噪声并保留图像中的边缘。 [8] 在实施边缘检测方法之前，使用各向异性扩散滤波器来降低散斑噪声，该方法由三个特征步骤组成。 [9] nan [10] nan [11] nan [12] nan [13] nan [14] nan [15] nan [16] nan [17] nan [18] nan [19] nan [20] nan [21] nan [22] nan [23] nan [24] nan [25] nan [26]
isotropic diffusion equation 各向同性扩散方程
We formulate the system in terms of a high-dimensional, time-dependent, anisotropic diffusion equation and employ matched asymptotic analysis to derive the effective trapping rate. [1] NCSF is especially useful when coupled with an anisotropic diffusion equation in noisy configurations. [2] This paper presents a new tailored finite point method (TFPM) for the strongly anisotropic diffusion equation on Cartesian coordinates. [3] The innovation of this method lies in the introduction of anisotropic diffusion equation of partial differential equation. [4] We consider a coupled system for image denoising, which consists of an anisotropic diffusion equation and a global sparse gradient model (GSG). [5] This paper investigates an anisotropic diffusion equation with degeneracy on the boundary. [6] We achieved this smoothing by solving an anisotropic diffusion equation with a finite-difference method. [7] The goal of the proposed review paper is to comprise a collection of the knowledge of the last seven decades dealing with the following topics: • stress fields induced by edge and screw dislocation; a presentation of the most recent solution technique and discussion of previous solutions; • eigenstrains of carbon and hydrogen atoms placed in octahedral and tetrahedral sites; a selection of the values of reliable sources; • assembling of the interstitial atoms, acting as inclusions with a misfit eigenstrain state, in cylindrical representative volume elements; • eigenstrain states in cylindrical representative volume elements due to occupancy of interstitial atoms described by X1, X2 and X3; • eigenstress fields generated by eigenstrains in cylindrical representative volume elements; • formulation of the generalized chemical potential of interstitial atoms in the stressed bcc lattice; • anisotropic diffusion equations for interstitials in a stressed bcc lattice, accounting for elastodiffusion and the effect of occupancy of different types of interstitial sites. [8] Based on the concept of the nonlinear anisotropic diffusion equation, we develop a computer code which uses noise-driven parameterization to optimize the image denoising process. [9] Direct generalization of the Random Walk on Spheres method to anisotropic diffusion equations is not possible, therefore, we have derived approximations of the probability densities for the first passage time and the exit point on a small sphere. [10]我们根据高维、时间相关、各向异性扩散方程制定系统，并采用匹配渐近分析来推导有效捕获率。 [1] NCSF 在与噪声配置中的各向异性扩散方程结合时特别有用。 [2] nan [3] nan [4] nan [5] nan [6] nan [7] 所提议的评论论文的目标是收集过去七十年中涉及以下主题的知识： • 由刃位错和螺旋位错引起的应力场；介绍最新的解决方案技术并讨论以前的解决方案； • 位于八面体和四面体位点的碳原子和氢原子的本征应变；选择可靠来源的价值； • 间隙原子的组装，作为具有失配特征应变状态的夹杂物，在圆柱形代表体积元素中； • 由于X1、X2 和X3 所描述的间隙原子的占据，圆柱体代表体积元素中的本征应变状态； • 由圆柱形代表体积元素中的特征应变产生的特征应力场； • 应力体心立方晶格中间隙原子的广义化学势的公式化； • 应力体心立方晶格中间隙的各向异性扩散方程，解释了弹性扩散和不同类型间隙位置的影响。 [8] nan [9] nan [10]
isotropic diffusion filtering 各向同性扩散滤波
This paper demonstrates a method to segment liver lesions automatically in CT abdomen images by using Anisotropic Diffusion filtering, Chan-Vese algorithm, K-means clustering, and morphological binary operations. [1] , nonlocal operators, anisotropic diffusion filtering). [2] MyoSAT combines several unconventional approaches including advanced background leveling, Perona-Malik anisotropic diffusion filtering, and Steger’s line detection algorithm to aid in pre-processing and enhancement of the muscle image. [3] By avoiding common problems of linear filtering such as blurring and localization, anisotropic diffusion filtering has been applied as preprocessing operation to enhance the edge region/boundaries between adjacent yarns of the fabric images. [4] Anisotropic diffusion filtering (ADF) has been recently applied to restore THG images of normal brain, but ADF is hard‐to‐code, time‐consuming and only reconstructs salient edges. [5] Whereas for the detail coefficient, Soft-Thresholding will be carried out and followed by the Anisotropic Diffusion Filtering process. [6] In the pre-processing, the images will be filtered through anisotropic diffusion filtering algorithm so as to remove the noises and avoid the indistinctness. [7] The speckle noise in the images is smoothened using anisotropic diffusion filtering technique, and segmentation of Retinal Nerve Fiber layer (RNFL) along with Ganglion Cell Layer (GCL) and Inner Plexiform Layer (IPL) complex is performed using the axial gradient canny edge detection combined with a level set method. [8] Several image evaluation metrics were measured to compare the image quality of the proposed method versus the other denoising techniques, including the total variation minimization scheme, anisotropic diffusion filtering, nonlocal means, and Wiener filtering. [9] The anisotropic diffusion filtering algorithm has excellent smoothing performance for medical images, but the normal diffusion filtering algorithm will blur the edges and details. [10]本文演示了一种利用各向异性扩散滤波、Chan-Vese 算法、K-means 聚类和形态二元运算自动分割腹部 CT 图像中肝脏病变的方法。 [1] ，非局部算子，各向异性扩散滤波）。 [2] MyoSAT 结合了几种非常规方法，包括高级背景调平、Perona-Malik 各向异性扩散过滤和 Steger 的线检测算法，以帮助预处理和增强肌肉图像。 [3] 通过避免线性滤波的常见问题，如模糊和局部化，各向异性扩散滤波已被用作预处理操作，以增强织物图像相邻纱线之间的边缘区域/边界。 [4] nan [5] nan [6] nan [7] nan [8] nan [9] nan [10]
isotropic diffusion problem 各向同性扩散问题
The finite volume method considered here has been developed recently in [3] to approximate heterogeneous and anisotropic diffusion problems using a general class of nonconforming meshes. [1] Finite difference schemes and iterative methods of solving anisotropic diffusion problems governing multidimensional elliptic PDE with mixed derivatives are considered. [2] SUSHI (Scheme Using Stabilization and Hybrid Interfaces) is a finite volume method has been developed at the first time to approximate heterogeneous and anisotropic diffusion problems. [3] A nonlinear finite volume element scheme for anisotropic diffusion problems on general triangular meshes is proposed. [4] The advantages of the CRS are demonstrated by solving an anisotropic diffusion problem in a shrinking domain. [5] Finally, some numerical examples are presented to verify that it is second order accurate on 2D polygonal meshes for anisotropic diffusion problems. [6] In this paper, we present a high order finite difference solver for anisotropic diffusion problems based on the first-order hyperbolic system method. [7]最近在 [3] 中开发了这里考虑的有限体积方法，以使用一般类别的不合格网格来近似异质和各向异性扩散问题。 [1] 考虑了求解具有混合导数的多维椭圆偏微分方程的各向异性扩散问题的有限差分格式和迭代方法。 [2] nan [3] nan [4] nan [5] nan [6] nan [7]
isotropic diffusion tensor 各向同性扩散张量
We present a new method to study position-dependent, anisotropic diffusion tensors inside spherically confined systems—a geometry that is common to many chemical nanoreactors. [1] The Smoluchowski equation for the many-particle probability distribution then acquires an anisotropic diffusion tensor. [2] First, anisotropic diffusion tensor (ADT) is utilized as high frequency edge information. [3] A complete convergence analysis is presented on the coupled model, using only weak regularity assumptions on the solution (which are satisfied in practical applications), and not relying on $$L^\infty $$L∞ bounds (which are impossible to ensure at the discrete level given the anisotropic diffusion tensors and the general grids used in applications). [4] Because of its additional freedom degrees, the MRT collision operator provides accurate approximations to space-fractional advection-diffusion equations, even in the cases which the BGK fails to represent because of anisotropic diffusion tensor or of flow rate destabilizing the BGK LBM scheme. [5] Diffusion basis spectrum imaging (DBSI) combines discrete anisotropic diffusion tensors and the spectrum of isotropic diffusion tensors to model the underlying multiple sclerosis (MS) pathologies. [6]我们提出了一种新方法来研究球形受限系统内的位置相关、各向异性扩散张量——这是许多化学纳米反应器常见的几何形状。 [1] 多粒子概率分布的 Smoluchowski 方程然后获得各向异性扩散张量。 [2] 首先，各向异性扩散张量（ADT）被用作高频边缘信息。 [3] nan [4] nan [5] nan [6]
isotropic diffusion model 各向同性扩散模型
The considered nonlinear second-order anisotropic diffusion model is then particularized for an image restoration task. [1] To characterize the progression of misfolded proteins across the brain, we combine the classical Fisher–Kolmogorov equation for population dynamics with an anisotropic diffusion model and simulate misfolding across a sagittal section and across the entire brain. [2] So, the second section describes the anisotropic diffusion models for image restoration based on nonlinear second-order parabolic and hyperbolic partial differential equations, proposed by us. [3] An anisotropic diffusion model based on a log-normal distribution of a local gray-level is used to propose a way to denoise the panchromatic images. [4] A diffusion function based on mixed gradient and variable exponent is built by combining image characteristics in wavelet transform and spatial domains to solve the edge blurring problem of the traditional anisotropic diffusion model in image filtering and improve image filtering performance. [5] The proposed restoration technique is based on a nonlinear second-order anisotropic diffusion model that removes effectively the additive and multiplicative noise, and also overcomes the unintended effects, while preserving the photo's details. [6]然后将所考虑的非线性二阶各向异性扩散模型专门用于图像恢复任务。 [1] 为了表征错误折叠蛋白质在大脑中的进展，我们将种群动力学的经典 Fisher-Kolmogorov 方程与各向异性扩散模型相结合，并模拟跨矢状截面和整个大脑的错误折叠。 [2] 因此，第二部分描述了我们提出的基于非线性二阶抛物线和双曲偏微分方程的图像恢复的各向异性扩散模型。 [3] nan [4] nan [5] nan [6]
isotropic diffusion algorithm 各向同性扩散算法
In this AI architecture, ultrasound images were segmented by the reaction diffusion level set model combined with the Gabor-based anisotropic diffusion algorithm. [1] Finally, the reconstructed cone beam CT image is repaired by an anisotropic diffusion algorithm, which can suppress artifacts. [2] Dense images are computed using an anisotropic diffusion algorithm taking both channels into account. [3] We also propose the guided anisotropic diffusion algorithm, which improves semantic segmentation results using the input images as guides to perform edge preserving filtering, and is used in conjunction with the iterative training method to improve results. [4]在这个人工智能架构中，超声图像通过反应扩散水平集模型结合基于 Gabor 的各向异性扩散算法进行分割。 [1] 最后，通过各向异性扩散算法对重建的锥形束CT图像进行修复，可以抑制伪影。 [2] nan [3] nan [4]
isotropic diffusion along 沿各向同性扩散
More precisely, the method performs a PDE-based anisotropic diffusion along directions defined by local structures in the 4D ray space. [1] The transport processes considered here are either anisotropic diffusion along axonal bundles or discrete Laplacian transport along a network. [2] The transport processes considered here are either anisotropic diffusion along axonal bundles or discrete Laplacian transport along a network. [3]更准确地说，该方法沿 4D 射线空间中的局部结构定义的方向执行基于 PDE 的各向异性扩散。 [1] 这里考虑的传输过程是沿轴突束的各向异性扩散或沿网络的离散拉普拉斯传输。 [2] nan [3]
isotropic diffusion property 各向同性扩散特性
Many biological tissues inside the human body exhibit highly anisotropic diffusion properties; for example, tissues of the nervous system and white matter in the brain. [1] Owing to the systematic alignment and ordering of fatty acid and ceramide chains, lipid layers in biological membranes have strongly anisotropic diffusion properties. [2] To address this problem, an improved partial differential equation method for neutron image denoising is proposed, in which the anisotropic diffusion properties are considered. [3]人体内的许多生物组织都表现出高度各向异性的扩散特性；例如，神经系统组织和大脑中的白质。 [1] 由于脂肪酸和神经酰胺链的系统排列和排序，生物膜中的脂质层具有强烈的各向异性扩散特性。 [2] nan [3]
isotropic diffusion method 各向同性扩散法
We illustrate our technique on synthetic and real-world 3D data and compare our method with the median method, weighted least squares, L0 volume gradient minimization, and edge aware anisotropic diffusion method. [1] In order to study the processing method of speckle noise reduction, this paper takes the OCT fundus image as the research object, and uses the median filtering, wavelet threshold method, Wiener filtering and anisotropic diffusion method to denoise the OCT fundus image. [2] Condensed anisotropic diffusion method is employed as a preprocessing tool for despeckling, and the resultant image is processed by multiscale approach in the Laplacian pyramid (LP) domain. [3]我们说明了我们在合成和真实世界 3D 数据上的技术，并将我们的方法与中值方法、加权最小二乘法、L0 体积梯度最小化和边缘感知各向异性扩散方法进行了比较。 [1] 为了研究斑点降噪的处理方法，本文以OCT眼底图像为研究对象，采用中值滤波、小波阈值法、维纳滤波和各向异性扩散法对OCT眼底图像进行去噪处理。 [2] nan [3]
isotropic diffusion coefficient 各向同性扩散系数
The results indicated two mobile "free" states of the N-terminal domain undergoing global diffusive motions, with isotropic diffusion coefficients of 0. [1] all coefficients anisotropic, is compared with both the case possessing isotropic diffusion coefficients and the case of partial anisotropy, i. [2] Conventional cosmic-ray propagation models usually assume an isotropic diffusion coefficient to account for the random deflection of cosmic rays by the turbulent interstellar magnetic field. [3]结果表明 N 端域的两个移动“自由”状态经历全局扩散运动，各向同性扩散系数为 0。 [1] 所有系数各向异性，与具有各向同性扩散系数的情况和部分各向异性的情况进行比较，即。 [2] nan [3]
isotropic diffusion behavior 各向同性扩散行为
This PDE is based on anisotropic diffusion behavior by adding some constraints to the Weickert coherence enhancing diffusion tensor in order to control the diffusion process near edges and avoids tiny corners destruction. [1] The ab initio molecular dynamics simulations exhibit the anisotropic diffusion behaviors of Na ions on both o-ScC2 and o-ScN2 monolayers with low energy barriers of 0. [2] In order to realistically model the diffusion process that drives degradation, an experimental/numerical study is conducted on the anisotropic diffusion behavior of laminated composites. [3]该 PDE 基于各向异性扩散行为，通过向 Weickert 相干增强扩散张量添加一些约束，以控制边缘附近的扩散过程并避免微小角落的破坏。 [1] 从头算分子动力学模拟展示了钠离子在 o-ScC2 和 o-ScN2 单层上的各向异性扩散行为，低能垒为 0。 [2] nan [3]
isotropic diffusion encoding 各向同性扩散编码
Using a single‐shot isotropic diffusion encoding (IDE) preparation, we eliminate signal confounds caused by anisotropic diffusion, including microscopic anisotropy, and acquire in vivo diffusion‐weighted images (DWIs) over a wide range of diffusion sensitizations. [1] Here we combine isotropic diffusion encoding with ultra-strong diffusion gradients (240 mT/m) to achieve high diffusion-weightings with high signal to noise ratio, while suppressing signal arising from anisotropic water compartments with significant mobility along at least one axis (e. [2] Isotropic diffusion encoding efficiently encodes additional microstructural information in combination with conventional linear diffusion encoding. [3]使用单次各向同性扩散编码 (IDE) 制剂，我们消除了由各向异性扩散引起的信号混淆，包括微观各向异性，并在广泛的扩散敏化范围内获取体内扩散加权图像 (DWI)。 [1] 在这里，我们将各向同性扩散编码与超强扩散梯度 (240 mT/m) 相结合，以实现具有高信噪比的高扩散权重，同时抑制沿至少一个轴具有显着迁移率的各向异性水室产生的信号（例如 [2] nan [3]
isotropic diffusion technique 各向同性扩散技术
Therefore, in this work, a novel method of optimal anisotropic diffusion technique along with contrast limited adaptive histogram equalization (CLAHE), Otsu's optimal thresholding and morphological thinning operation are applied over the fractographs for edge enhancement, overcoming inhomogeneous illumination, edge segmentation and thinning, respectively, to detect voids, automatically. [1] Wavelet-based filters and anisotropic diffusion techniques have proven their worth in reducing both Gaussian additive noise and speckle noise. [2]因此，在这项工作中，一种新的最佳各向异性扩散技术方法以及对比度限制自适应直方图均衡 (CLAHE)、Otsu 的最佳阈值和形态细化操作应用于边缘增强、克服不均匀照明、边缘分割和细化的断面图，分别自动检测空隙。 [1] 基于小波的滤波器和各向异性扩散技术已证明其在降低高斯加性噪声和散斑噪声方面的价值。 [2]
isotropic diffusion scheme 各向同性扩散方案
It is based on a multi-scale anisotropic diffusion scheme. [1] It is based on a multi-scale anisotropic diffusion scheme. [2]它基于多尺度各向异性扩散方案。 [1] 它基于多尺度各向异性扩散方案。 [2]
isotropic diffusion function 各向同性扩散函数
Meanwhile, the diffusion filtering method with adaptive image structure is introduced into image registration, and the anisotropic diffusion function with the ability of feature preservation and consistency enhancement is defined as the regularization term of the model. [1] The median filter as a nonlinear operator utilized for an oriented anisotropic diffusion function to reduce noise and preserve the edges, is performed on medical images. [2]同时，将具有自适应图像结构的扩散滤波方法引入图像配准中，将具有特征保持和一致性增强能力的各向异性扩散函数定义为模型的正则化项。 [1] 中值滤波器作为非线性算子，用于定向各向异性扩散函数以减少噪声并保留边缘，在医学图像上执行。 [2]