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Design of a model for shape from focus method

HAMAROVÁ Ivana ŠMÍD Petr HORVÁTH Pavel

HAMAROVÁ Ivana, ŠMÍD Petr, HORVÁTH Pavel. 聚焦形貌恢复方法模型设计[J]. 中国光学, 2016, 9(4): 439-451. doi: 10.3788/CO.20160904.0439
引用本文: HAMAROVÁ Ivana, ŠMÍD Petr, HORVÁTH Pavel. 聚焦形貌恢复方法模型设计[J]. 中国光学, 2016, 9(4): 439-451. doi: 10.3788/CO.20160904.0439
HAMAROVÁ Ivana, ŠMÍD Petr, HORVÁTH Pavel. Design of a model for shape from focus method[J]. Chinese Optics, 2016, 9(4): 439-451. doi: 10.3788/CO.20160904.0439
Citation: HAMAROVÁ Ivana, ŠMÍD Petr, HORVÁTH Pavel. Design of a model for shape from focus method[J]. Chinese Optics, 2016, 9(4): 439-451. doi: 10.3788/CO.20160904.0439

聚焦形貌恢复方法模型设计

doi: 10.3788/CO.20160904.0439
基金项目: 

the grant of the Czech Science Foundation No.13-12301S

详细信息
  • 中图分类号: TH752

Design of a model for shape from focus method

Funds: 

the grant of the Czech Science Foundation No.13-12301S

More Information
    Corresponding author: Ivana Hamarová (1982—) , Ph.D., Institute of Physics of the Czech Academy of Sciences, Joint Laboratory of Optics of Palacky University and Institute of Physics AS CR. Her research interests are on numerical modeling and simulation of the optical fields and the proposal of the optical measuring sensors. E-mail:ivana.hamarova@upol.cz
  • 摘要: 采用基于拉普拉斯算符聚焦形貌恢复方法,提出了模拟目标深度测量的数值模型。数值模拟的核心是基于通过几何光学预测的理想图像的卷积与透镜广义孔径函数的多色点扩散函数,即用聚焦误差替代抛物线圆柱形貌或高斯函数。该模型可以使用基于聚焦形貌恢复方法的传感器真实组件参数、光源光谱、光学系统离差、相机的光谱灵敏度。提出了光学系统离差(消球差、消色差、色差)对确定目标表面形貌的精确度和可靠性的影响。结果表明,该模型可以有效提高实验效率,缩短时滞,降低成本。
  • Figure  1.  Detection of focused P′ and defocused P″ image of the object point P

    Figure  2.  The depth z (x, y) of the 3D object and intensity distribution I (x′, y′) corresponding to its ideal image. The image is divided into the limited regions A, B, …, C (gray areas) , in which the spatially invariant hi, j (x′, y′) is computed for j=1, 2, …, N, while N denotes number of the regions. The depth z (x, y) changes in discrete increments to, j=to (height of a single step) . For simplicity, we assume imaging 1: 1, therefore widths wo, j of individual steps are the same as the widths wi, j of the appropriate regions A, B, …, C

    Figure  3.  Scheme for simulation of the shape from focus method. The pyramidal object is placed at the distance d1 from the optical system. The image of the object produced by the optical system is observed at the distance d2 by means of the detector. Light source is situated at the distance s from the object

    Figure  4.  (a) A one-dimensional profile z (x) of the object under test and (d) a resulting intensity distribution I (x′) , computed by summation of (b) the intensity distribution I (x′) with (c) the fluctuation Ifluct (x′)

    Figure  5.  (a) An ideal case of the depth map z (x, y) (matrix of 451×451 pixels) of the object represented by the pyramid with 5 levels with total height 735 μm, and height of the individual level of the pyramid is 147 μm (b) a cross section of the depth map z (x, y) from (a) at a position y=225, (c) the depth map z (x, y) of the object acquired via simulation of the shape from focus method using the aberration-free optical system (d) a cross section of the depth map z (x, y) from (c) at a position y=225

    Figure  6.  (a) A depth map z (x, y) of the object under test acquired via simulation of the shape from focus method using the optical system with chromatic aberration (b) a cross section of the depth map z (x, y) at a position y=225

    Figure  7.  (a) A depth map z (x, y) of the object under test acquired via simulation of the shape from focus method using the achromatic optical system (b) a cross section of the depth map z (x, y) at a position y=225

    Figure  8.  Sum of modified Laplacian function F (i, j) computed by Eq. (14) for i=225, j=125 (the point on the third level of the pyramidal object) as a function of d1 for aberration-free (ideal) optical system, optical system with chromatic aberration and achromatic optical system. The total object height is 735 μm

    Figure  9.  (a) A one-dimensional profile z (x) of the object under test, (b) a depth map z (x, y) of the object under test acquired via simulation of the shape from focus method using the achromatic optical system (c) a cross section of the depth map z (x, y) at a position y=225. The total object′s height is 1470 μm

    Figure  10.  Sum of modified Laplacian function F (i, j) computed by Eq. (14) for i=225, j=125 (the point on the third level of the pyramidal object) as a function of d1 for achromatic optical system. The total object height is 1470 μm

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出版历程
  • 收稿日期:  2016-03-14
  • 修回日期:  2016-04-29
  • 刊出日期:  2016-08-01

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