N-Dimension Golden Section Search: Its Variants and Limitations

Chang, Yen-Ching

doi:10.1109/bmei.2009.5304779

Cited by 86 publications

(42 citation statements)

References 11 publications

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“…Golden section search is a very efficient algorithm for finding out the extreme of an objective function with unimodal [11]. Figure 4 shows the procedure of the 1-D GSS by entropy evaluation.…”

Section: -D Golden Section Search By Entropy Evaluationmentioning

confidence: 99%

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Nonparametric Rotational Motion Compensation Technique for High-Resolution Isar Imaging via Golden Section Search

Liu¹,

Zou²,

Xu³

et al. 2014

PIER M

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Abstract-A novel rotational motion compensation algorithm for high-resolution inverse synthetic aperture radar (ISAR) imaging based on golden section search (GSS) method is presented. This paper focuses on the migration through cross-range resolution cells (MTCRRC) compensation, which requires rotation angle and center as priori information. The method performs in a nonparametric way and uses entropy criterion to estimate rotation angle and rotation center, which are used for rotational motion compensation. Experimental results show that the rotational motion in ISAR imaging can be effectively compensated. Moreover, the proposed method is robust and computationally more efficient compared to the parametric methods.

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Section: -D Golden Section Search By Entropy Evaluationmentioning

confidence: 99%

“…To be specific, the golden section search (GSS) method [10,11] is used iteratively to estimate the rotation angle and center. The optimal parameters can be obtained when the entropy of the compensated ISAR image is minimized.…”

Section: Introductionmentioning

confidence: 99%

Nonparametric Rotational Motion Compensation Technique for High-Resolution Isar Imaging via Golden Section Search

Liu¹,

Zou²,

Xu³

et al. 2014

PIER M

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“…Since the objective function in Eq. (39) is non-smooth, a section search method (Chang, 2009) is employed for minimization over the unit hemispherical surface spanned by m ⁄ . Predicted domain boundaries need not coincide with {111} planes.…”

Section: Domain Boundary Orientationmentioning

confidence: 99%

Banding in single crystals during plastic deformation

Kumar

Mahesh

2012

International Journal of Plasticity

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“…Finally, the MTRC of the ISAR image is compensated by using the optimized parameters and the ISAR image can be best focused. Note that, to reduce the computational load of the proposed method, the golden section search (GSS) method is used in the iteratively processing [11,12]. The major contribution of the proposed algorithm is the iterative search for rotation angle  and center 0 y .The effectiveness and robustness of the proposed algorithm are demonstrated by synthetic and real data.…”

Section: Introductionmentioning

confidence: 99%

MTRC compensation in high-resolution ISAR imaging via improved polar format algorithm

Liu

Li²,

et al. 2014

SPIE Proceedings

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Migration through resolution cells (MTRC) is generated in high-resolution inverse synthetic aperture radar (ISAR) imaging. A MTRC compensation algorithm for high-resolution ISAR imaging based on improved polar format algorithm (PFA) is proposed in this paper. Firstly, in the situation that a rigid-body target stably flies, the initial value of the rotation angle and center of the target is obtained from the rotation of radar line of sight (RLOS) and high range resolution profile (HRRP). Then, the PFA is iteratively applied to the echo data to search the optimization solution based on minimum entropy criterion. The procedure starts with the estimated initial rotation angle and center, and terminated when the entropy of the compensated ISAR image is minimized. To reduce the computational load, the 2-D iterative search is divided into two 1-D search. One is carried along the rotation angle and the other one is carried along rotation center. Each of the 1-D searches is realized by using of the golden section search method. The accurate rotation angle and center can be obtained when the iterative search terminates. Finally, apply the PFA to compensate the MTRC by the use of the obtained optimized rotation angle and center. After MTRC compensation, the ISAR image can be best focused. Simulated and real data demonstrate the effectiveness and robustness of the proposed algorithm.

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N-Dimension Golden Section Search: Its Variants and Limitations

Cited by 86 publications

References 11 publications

Nonparametric Rotational Motion Compensation Technique for High-Resolution Isar Imaging via Golden Section Search

Nonparametric Rotational Motion Compensation Technique for High-Resolution Isar Imaging via Golden Section Search

Banding in single crystals during plastic deformation

MTRC compensation in high-resolution ISAR imaging via improved polar format algorithm

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