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991.
We consider a subproblem in parameter estimation using the Gauss-Newton algorithm with regularization for NURBS curve fitting. The NURBS curve is fitted to a set of data points in least-squares sense, where the sum of squared orthogonal distances is minimized. Control-points and weights are estimated. The knot-vector and the degree of the NURBS curve are kept constant. In the Gauss-Newton algorithm, a search direction is obtained from a linear overdetermined system with a Jacobian and a residual vector. Because of the properties of our problem, the Jacobian has a particular sparse structure which is suitable for performing a splitting of variables. We are handling the computational problems and report the obtained accuracy using different methods, and the elapsed real computational time. The splitting of variables is a two times faster method than using plain normal equations. 相似文献
992.
In this paper, we prove the existence, uniqueness and the stability of solutions for some nonlinear functional-integral equations by using generalized Lipschitz condition. We prove a fixed point theorem to obtain the mentioned aims in Banach space X:= C([a, b],R). As application we study some Volterra integral equations with linear, nonlinear and singular kernel. 相似文献
993.
On Finite Element Approximations to a Shape Gradient Flow in Shape Optimization of Elliptic Problems
Chunxiao Liu & Shengfeng Zhu 《计算数学(英文版)》2023,41(5):957-980
Shape gradient flows are widely used in numerical shape optimization algorithms. We investigate the accuracy and effectiveness of approximate shape gradients flows for shape optimization of elliptic problems. We present convergence analysis with a priori error estimates for finite element approximations of shape gradient flows associated with a distributed or boundary expression of Eulerian derivative. Numerical examples are presented to verify theory and show that using the volume expression is effective for shape optimization with Dirichlet and Neumann boundary conditions. 相似文献
994.
Zuning Zhang Zhen Liu Yong Jiang Huachun Zhu Te Ji Jie Wang Min Chen Weiwei Peng Lihua Wang Xiangjun Wei 《X射线光谱测定》2022,51(4):394-402
Advanced synchrotron radiation light is a powerful tool for archaeometry research. However, its applications to precious cultural relics, especially for color painting, have been hindered to some degree due to potential X-ray radiation damage. Compared to inorganic mineral pigments, organic binders in the painting are easier to be damaged by synchrotron radiation X-ray beam. The radiation damage effect of two typical painting samples, pure rabbit skin glue and the mixed sample of rabbit skin glue and zinc white, has been investigated by in situ time-resolved ED-XAS and IR combined techniques. The results show that the radiation damage effect of pure rabbit skin glue is more serious at low X-ray energy (7775 eV). The radiation damage effect of the mixed sample increases significantly due to more X-ray absorption by inorganic pigments. Furthermore, the radiation damage is more serious at the energy near Zn K-edge and is somewhat slight at higher energy (13,054 eV). These damages are more obvious from the point of view of protein secondary structures. The irradiation damage effects increase more rapidly at the beginning and are not linear with the irradiating time. The results indicate that synchrotron radiation damage can be reduced effectively by using X-ray energy far away from the X-ray absorption edge of the major element in the pigments during XRF, XRD and CT experiments, or by using time-resolved techniques such as QXAFS and ED-XAS during XAFS experiments. 相似文献
995.
We first study the basic coupling and obtain an equation between total variation norm and the basic coupling. Then by use this equation we investigate the ergodicity property of continuous time Markov processes in general state space. For an ergodic continuous-time Markov processes, adding condition π(f) < ∞, by using the coupling method, there exists the full absorption set, such that the continuous time Markov processes are f-ergodic on it. © 2022 Chinese Academy of Sciences. All rights reserved. 相似文献
996.
In this paper, we propose a distributed secure delegated quantum computation protocol, by which an almost classical client can delegate a -qubit quantum circuit to d quantum servers, where each server is equipped with a -qubit register that is used to process only k qubits of the delegated quantum circuit. None of servers can learn any information about the input and output of the computation. The only requirement for the client is that he or she has ability to prepare four possible qubits in the state of , where . The only requirement for servers is that each pair of them share some entangled states as ancillary qubits. Instead of assuming that all servers are interconnected directly by quantum channels, we introduce a third party in our protocol that is designed to distribute the entangled states between those servers. This would simplify the quantum network because the servers do not need to share a quantum channel. In the end, we show that our protocol can guarantee unconditional security of the computation under the situation where all servers, including the third party, are honest-but-curious and allowed to cooperate with each other. 相似文献
997.
Xiaoliang Zhu Qiaolai Yang Liang Zhao Zhicheng Dai Zili He Wenting Rong Junyi Sun Gendong Liu 《Entropy (Basel, Switzerland)》2022,24(7)
As an important task in computer vision, head pose estimation has been widely applied in both academia and industry. However, there remains two challenges in the field of head pose estimation: (1) even given the same task (e.g., tiredness detection), the existing algorithms usually consider the estimation of the three angles (i.e., roll, yaw, and pitch) as separate facets, which disregard their interplay as well as differences and thus share the same parameters for all layers; and (2) the discontinuity in angle estimation definitely reduces the accuracy. To solve these two problems, a THESL-Net (tiered head pose estimation with self-adjust loss network) model is proposed in this study. Specifically, first, an idea of stepped estimation using distinct network layers is proposed, gaining a greater freedom during angle estimation. Furthermore, the reasons for the discontinuity in angle estimation are revealed, including not only labeling the dataset with quaternions or Euler angles, but also the loss function that simply adds the classification and regression losses. Subsequently, a self-adjustment constraint on the loss function is applied, making the angle estimation more consistent. Finally, to examine the influence of different angle ranges on the proposed model, experiments are conducted on three popular public benchmark datasets, BIWI, AFLW2000, and UPNA, demonstrating that the proposed model outperforms the state-of-the-art approaches. 相似文献
998.
De-Xing Zhu Hong-Ming Liu Yang-Yang Xu You-Tian Zou Xi-Jun Wu Peng-Cheng Chu Xiao-Hua Li 《中国物理C(英文版)》2022,46(4):044106-044106-6
Considering the preformation probability of the two emitted protons in the parent nucleus, we extend the Coulomb and proximity potential model (CPPM) to systematically study two-proton (2p) radioactivity half-lives of the nuclei close to proton drip line. The proximity potential chosen is Prox. 81 proposed by Blocki et al. in 1981. Furthermore, we apply this model to predict the half-lives of possible 2p radioactive candidates whose 2p radioactivity is energetically allowed or observed but not yet quantified in the evaluated nuclear properties table NUBASE2016. The predicted results are in good agreement with those from other theoretical models and empirical formulas, namely the effective liquid drop model (ELDM), generalized liquid drop model (GLDM), Gamow-like model, Sreeja formula and Liu formula. 相似文献
999.
为解决低照度微弱信号探测的微光光学系统杂散光问题,研究了杂散光的原理和特性。利用光学系统建模软件LightTools对微光光学系统进行仿真建模,并开展杂散光分析。为减少杂散光,在物镜筒的筒壁加工消光螺纹,并针对不同形式的消光螺纹,开展了能量仿真模拟。仿真结果表明,采用螺距0.35 mm的消光螺纹,能够将杂散光系数从7%降低到4%。仿真分析结果与实验结果一致,为其他微弱信号探测光学系统在设计阶段对杂散光进行消除提供了指导。 相似文献
1000.
本文利用PP回归方法,建立“积累”“消费”回归模型,并与最小二乘法拟合的线性回归模型相比较,说明用PP回归建立的模型预测精度较高. 相似文献