排序方式: 共有7条查询结果,搜索用时 85 毫秒
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Eungjune Shim Youngjun Kim Deukhee Lee Byung Hoon Lee Sungkyung Woo Kunwoo Lee 《高校应用数学学报(英文版)》2018,33(1):59-70
X-ray imaging is the conventional method for diagnosing the orthopedic condition of a patient. Computerized Tomography(CT) scanning is another diagnostic method that provides patient’s 3D anatomical information. However, both methods have limitations when diagnosing the whole leg; X-ray imaging does not provide 3D information, and normal CT scanning cannot be performed with a standing posture. Obtaining 3D data regarding the whole leg in a standing posture is clinically important because it enables 3D analysis in the weight bearing condition. Based on these clinical needs, a hardware-based bi-plane X-ray imaging system has been developed; it uses two orthogonal X-ray images. However, such methods have not been made available in general clinics because of the hight cost. Therefore, we proposed a widely adaptive method for 2D X-ray image and 3D CT scan data. By this method, it is possible to threedimensionally analyze the whole leg in standing posture. The optimal position that generates the most similar image is the captured X-ray image. The algorithm verifies the similarity using the performance of the proposed method by simulation-based experiments. Then, we analyzed the internal-external rotation angle of the femur using real patient data. Approximately 10.55 degrees of internal rotations were found relative to the defined anterior-posterior direction. In this paper, we present a useful registration method using the conventional X-ray image and 3D CT scan data to analyze the whole leg in the weight-bearing condition. 相似文献
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The main result of this small note is a quantified version of the assertion that if u and v solve two nonlinear stochastic heat equations, and if the mutual energy between the initial states of the two stochastic PDEs is small, then the total masses of the two systems are nearly uncorrelated for a very long time. One of the consequences of this fact is that a stochastic heat equation with regular coefficients is a finite system if and only if the initial state is integrable. 相似文献
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A dynamic light scattering (DLS) method was adopted for measuring the corrosion of iron nanoparticles. The average diameter of the nanoparticles in a sodium chloride suspension increased linearly with time as iron oxide layers formed around the nanoparticles. The nanoparticle corrosion rate determined by DLS was found to be almost identical to the value obtained by conventional immersion tests (ASTM G31). The DLS method offers the advantage that measurements may be completed within several hours under natural corrosion conditions whereas the conventional immersion method requires several months. Application of the DLS method to alloy nanoparticles with a variety of chromium compositions showed that the nanoparticle sizes changed nonlinearly over time, and the curves were best fit by a first order exponential function. The first order time constants were found to be linearly related to the corrosion rates determined by ASTM G31. 相似文献
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We extend and generalize some recent results on complete convergence (cf. Hu, Moricz, and Taylor [14], Gut [11], Wang, Bhaskara Rao, and Yang [26], Kuczmaszewska and Szynal [17], and Sung [23]) for arrays of rowwise independent Banach space valued random elements. In the main result, no assumptions are made concerning the existence of expected values or absolute moments of the random elements and no assumptions are made concerning the geometry of the underlying Banach space. Some well-known results from the literature are obtained easily as corollaries. The corresponding convergence rates are also established 相似文献
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Kunwoo Kim 《Stochastic Processes and their Applications》2019,129(6):2207-2227
Consider stochastic heat equations with fractional Laplacian on . The driving noise is generalized Gaussian which is white in time but spatially homogeneous. We study the large-scale structure of the tall peaks for (i) the linear stochastic heat equation and (ii) the parabolic Anderson model. We obtain the largest order of the peaks and compute the macroscopic Hausdorff dimensions of the peaks for (i) and (ii). These result imply that both (i) and (ii) exhibit multi-fractal behavior even though only (ii) is intermittent. This is an extension of a result of Khoshnevisan et al. (2017) to a wider class of stochastic heat equations. 相似文献
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Khoshnevisan Davar Kim Kunwoo Mueller Carl Shiu Shang-Yuan 《Journal of statistical physics》2020,179(2):502-534
Journal of Statistical Physics - The study of intermittency for the parabolic Anderson problem usually focuses on the moments of the solution which can describe the high peaks in the probability... 相似文献
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We consider a stochastic perturbation of the Stefan problem. The noise is Brownian in time and smoothly correlated in space. We prove existence and uniqueness and characterize the domain of existence. 相似文献
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