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A Multi-view Super-Resolution Method with Joint-optimization of Image Fusion and Blind Deblurring
( Jun Fan ),( Yue Wu ),( Xiangrong Zeng ),( Qizi Huangpeng ),( Yan Liu ),( Xin Long ),( Jinglun Zhou ) 한국인터넷정보학회 2018 KSII Transactions on Internet and Information Syst Vol.12 No.5
Multi-view super-resolution (MVSR) refers to the process of reconstructing a high-resolution (HR) image from a set of low-resolution (LR) images captured from different viewpoints typically by different cameras. These multi-view images are usually obtained by a camera array. In our previous work [1], we super-resolved multi-view LR images via image fusion (IF) and blind deblurring (BD). In this paper, we present a new MVSR method that jointly realizes IF and BD based on an integrated energy function optimization. First, we reformulate the MVSR problem into a multi-channel blind deblurring (MCBD) problem which is easier to be solved than the former. Then the depth map of the desired HR image is calculated. Finally, we solve the MCBD problem, in which the optimization problems with respect to the desired HR image and with respect to the unknown blur are efficiently addressed by the alternating direction method of multipliers (ADMM). Experiments on the Multi-view Image Database<sup>1</sup> of the University of Tsukuba and images captured by our own camera array system demonstrate the effectiveness of the proposed method.
A depth-based Multi-view Super-Resolution Method Using Image Fusion and Blind Deblurring
( Jun Fan ),( Xiangrong Zeng ),( Qizi Huangpeng ),( Yan Liu ),( Xin Long ),( Jing Feng ),( Jinglun Zhou ) 한국인터넷정보학회 2016 KSII Transactions on Internet and Information Syst Vol.10 No.10
Multi-view super-resolution (MVSR) aims to estimate a high-resolution (HR) image from a set of low-resolution (LR) images that are captured from different viewpoints (typically by different cameras). MVSR is usually applied in camera array imaging. Given that MVSR is an ill-posed problem and is typically computationally costly, we super-resolve multi-view LR images of the original scene via image fusion (IF) and blind deblurring (BD). First, we reformulate the MVSR problem into two easier problems: an IF problem and a BD problem. We further solve the IF problem on the premise of calculating the depth map of the desired image ahead, and then solve the BD problem, in which the optimization problems with respect to the desired image and with respect to the unknown blur are efficiently addressed by the alternating direction method of multipliers (ADMM). Our approach bridges the gap between MVSR and BD, taking advantages of existing BD methods to address MVSR. Thus, this approach is appropriate for camera array imaging because the blur kernel is typically unknown in practice. Corresponding experimental results using real and synthetic images demonstrate the effectiveness of the proposed method.
Image Processing Model with K-support Norm
Junli Fan,Xiaowei He 보안공학연구지원센터 2015 International Journal of Signal Processing, Image Vol.8 No.4
In recent years, l1 norm is usually considered as the regularization term in the field of sparse representation. However, the non-zero entries obtained by the l1 regularization term always neglect the correlations with each other. In fact, different relationships or structures among non-zero entries are necessary in many applications. K-support norm is firstly proposed in the field of sparse prediction. The most important property of the k-support norm is grouping feature of the largest entries in the obtained solution. In this paper, we present a new image processing model by introducing the k-support norm to image gradient domain. The proposed model can be applied to image denoising and edge detection simultaneously. Some examples demonstrate the effectiveness of the novel model and its improvements.
CONTINUOUS DEPENDENCE PROPERTIES ON SOLUTIONS OF BACKWARD STOCHASTIC DIFFERENTIAL EQUATION
Fan, Sheng-Jun,Wu, Zhu-Wu,Zhu, Kai-Yong 한국전산응용수학회 2007 Journal of applied mathematics & informatics Vol.24 No.1
The existence theorem and continuous dependence property in $"L^2"$ sense for solutions of backward stochastic differential equation (shortly BSDE) with Lipschitz coefficients were respectively established by Pardoux-Peng and Peng in [1,2], Mao and Cao generalized the Pardoux-Peng's existence and uniqueness theorem to BSDE with non-Lipschitz coefficients in [3,4]. The present paper generalizes the Peng's continuous dependence property in $"L^2"$ sense to BSDE with Mao and Cao's conditions. Furthermore, this paper investigates the continuous dependence property in "almost surely" sense for BSDE with Mao and Cao's conditions, based on the comparison with the classical mathematical expectation.
Control Analysis for a Non-minimum Phase Static Unstably Missile
FAN Jun-fang,CHEN Ying,LIN Peng 제어로봇시스템학회 2014 제어로봇시스템학회 국제학술대회 논문집 Vol.2014 No.10
A novel control evaluation approach for tactical missile is detailed. The characteristics of non-minimum phase and static instability of a tail-controlled tactical missile are presented firstly. Then the frequency-domain controllable analysis is derived. Due to the limitations of traditional stability margins, the vector margin (VM) is introduced and compared with sensitivity function to show their essential relationship. A longitudinal three-loop autopilot is designed to stabilize the non-minimum phase static unstably missile dynamics and used as the baseline for all the tan available linear autopilot topologies given with the identical closed-loop characteristic equation and time-domain step response. Then vector margin method is adopted to compute and evaluate the stability of all available autopilots. The analysis and computation results show that the vector margin method could give better evaluation on system stability.
Jun-fan Jiang,Hao Ying,Tang-fu Feng,Ren-bing Sun,Xie Li,Fang Wang 한국물리학회 2018 Current Applied Physics Vol.18 No.12
Gd1-xHoxNi melt-spun ribbons were fabricated by a single-roller melt spinning method. All the compounds crystallize in an orthorhombic CrB-type structure. The Curie temperature (TC) was tuned between 46 and 99 K by varying the concentration of Gd and Ho. A spin reorientation (SRO) transition is observed around 13 K. Different from TC, the SRO transition temperature is almost invariable for all compounds. Two peaks of magnetic entropy change (ΔSM) were found. One at the higher temperature range was originated from the paramagnet-ferromagnet phase transition and the other at the lower temperature range was caused by the SRO transition. The maximum of ΔSM around TC is almost same. The other maximum of ΔSM around SRO transition, however, had significantly positive relationship with x. It reached a maximum about 8.2 J kg−1 K−1 for x=0.8. Thus double large ΔSM peaks were obtained in Gd1-xHoxNi melt-spun ribbons with the high Ho concentration. And the refrigerant capacity power reached a maximum of 622 J kg−1 for x=0.6. Gd1-xHoxNi ribbons could be good candidate for magnetic refrigerant working in the low temperature especially near the liquid nitrogen temperature range.
FAN Jun-fang,An Xiao-qian 제어로봇시스템학회 2015 제어로봇시스템학회 국제학술대회 논문집 Vol.2015 No.10
The essential control characteristics for a two and three-loop acceleration autopilot of tactical missile were presented from a frequency analysis perspective. The basic limitation of right-half-phase pole and zero from airframe aerodynamics was analyzed using an open-loop crossover frequency inequality, which showed a consistent conclusion with the final overall stability condition in nature. To reveal the feedback control capability, the rate feedback, rate plus attitude feedback, and linear acceleration feedback, were calculated and simplified based on engineering requirement, respectively. Then an equivalent actuator dynamics were introduced to compute the stability condition at high frequency. Such that the global stability condition was obtained in explicit formulation. The results showed that the autopilot control capability is dominated by actuator bandwidth, and a compromise should be determined between the flight performance and the actuator requirement for a statically instable missile.
Expressions of meromorphic solutions of a certain type of nonlinear complex differential equations
Jun-Fan Chen,Gui Lian 대한수학회 2020 대한수학회보 Vol.57 No.4
In this paper, the expressions of meromorphic solutions of the following nonlinear complex differential equation of the form $$f^{n}+Q_{d}(z,f)=\sum_{i=1}^{3}p_{i}(z)e^{\alpha_{i}(z)}$$ are studied by using Nevanlinna theory, where $n\geq5$ is an integer, $Q_{d}(z,f)$ is a differential polynomial in $f$ of degree $d\leq n-4$~with rational functions as its coefficients, $p_{1}(z)$, $p_{2}(z)$, $p_{3}(z)$~are non-vanishing rational functions, and $\alpha_{1}(z)$, $\alpha_{2}(z)$, $\alpha_{3}(z)$ are nonconstant polynomials such that $\alpha_{1}'(z)$, $\alpha_{2}'(z)$, $\alpha_{3}'(z)$ are distinct each other. Moreover, examples are given to illustrate the accuracy of the condition.
Impact-Angle-Constraint Look Angle Guidance for Miniature Missile
FAN Jun-fang,WANG Gang,CHEN Ying,DONG Si-yu 제어로봇시스템학회 2016 제어로봇시스템학회 국제학술대회 논문집 Vol.2016 No.10
An engagement dynamic model is set up for the miniature missile guidance solution under the constraints of field-of-view angle and terminal impact angle. The impact-angle constraint guidance law design is converted into an optimal control problem subjected to terminal constraints. Then a look angle guidance solution without line-of-sight rate is detailed to satisfy the requirement on field-of-view and impact angles. The relation between the required maximal look angle and the terminal impact angle is analyzed and formulated. The proposed method is simulated and validated. The results show that a miniature missile could intercept a stationary target with the required impact angle.