In order to accurately measure an object’s three-dimensional surface shape,the influence of sampling on it was studied.First,on the basis of deriving spectra expressions through the Fourier transform,the generation o...In order to accurately measure an object’s three-dimensional surface shape,the influence of sampling on it was studied.First,on the basis of deriving spectra expressions through the Fourier transform,the generation of CCD pixels was analyzed,and its expression was given.Then,based on the discrete expression of deformation fringes obtained after sampling,its Fourier spectrum expression was derived,resulting in an infinitely repeated"spectra island"in the frequency domain.Finally,on the basis of using a low-pass filter to remove high-order harmonic components and retaining only one fundamental frequency component,the inverse Fourier transform was used to reconstruct the signal strength.A method of reducing the sampling interval,i.e.,reducing the number of sampling points per fringe,was proposed to increase the ratio between the sampling frequency and the fundamental frequency of the grating.This was done to reconstruct the object’s surface shape more accurately under the condition of m>4.The basic principle was verified through simulation and experiment.In the simulation,the sampling intervals were 8 pixels,4 pixels,2 pixels,and 1 pixel,the maximum absolute error values obtained in the last three situations were 88.80%,38.38%,and 31.50%in the first situation,respectively,and the corresponding average absolute error values are 71.84%,43.27%,and 32.26%.It is demonstrated that the smaller the sampling interval,the better the recovery effect.Taking the same four sampling intervals in the experiment as in the simulation can also lead to the same conclusions.The simulated and experimental results show that reducing the sampling interval can improve the accuracy of object surface shape measurement and achieve better reconstruction results.展开更多
从相关文献中获得Fermi耀变体(blazar)的射电(R)1.4 GHz、光学(O)4.68×1014Hz、X-ray(X)1 ke V和γ-ray(γ)1 Ge V辐射流量密度,计算了上述波段两两之间的6个有效谱指数αRO、αRX、αRγ、αOX、αOγ、αXγ.研究了blazar总样本...从相关文献中获得Fermi耀变体(blazar)的射电(R)1.4 GHz、光学(O)4.68×1014Hz、X-ray(X)1 ke V和γ-ray(γ)1 Ge V辐射流量密度,计算了上述波段两两之间的6个有效谱指数αRO、αRX、αRγ、αOX、αOγ、αXγ.研究了blazar总样本及其子类FSRQ(Flat Spectral Radio Quasar),蝎虎天体(BL Lac)含高同步峰频BL Lac(HBL)和低同步峰频BL Lac(LBL)样本的任意两个有效谱指数之间的关系.结果表明:(1)除HBL样本及αOX与αRγ之间关系外,两两有效谱指数之间均存在较强的相关,这种相关可用4个波段能谱分布的结构关系得到解释;(2)在有效谱指数相关的散点图中,FSRQ与LBL分布在相同的区域,但HBL与FSRQ(LBL)分布在不同的区域;(3)在不同的有效谱指数相关散点图中,HBL与FSRQ(LBL)分布的分离程度(区分度)不相同,这种区分度与决定2个有效谱指数的频率有关.展开更多
文摘In order to accurately measure an object’s three-dimensional surface shape,the influence of sampling on it was studied.First,on the basis of deriving spectra expressions through the Fourier transform,the generation of CCD pixels was analyzed,and its expression was given.Then,based on the discrete expression of deformation fringes obtained after sampling,its Fourier spectrum expression was derived,resulting in an infinitely repeated"spectra island"in the frequency domain.Finally,on the basis of using a low-pass filter to remove high-order harmonic components and retaining only one fundamental frequency component,the inverse Fourier transform was used to reconstruct the signal strength.A method of reducing the sampling interval,i.e.,reducing the number of sampling points per fringe,was proposed to increase the ratio between the sampling frequency and the fundamental frequency of the grating.This was done to reconstruct the object’s surface shape more accurately under the condition of m>4.The basic principle was verified through simulation and experiment.In the simulation,the sampling intervals were 8 pixels,4 pixels,2 pixels,and 1 pixel,the maximum absolute error values obtained in the last three situations were 88.80%,38.38%,and 31.50%in the first situation,respectively,and the corresponding average absolute error values are 71.84%,43.27%,and 32.26%.It is demonstrated that the smaller the sampling interval,the better the recovery effect.Taking the same four sampling intervals in the experiment as in the simulation can also lead to the same conclusions.The simulated and experimental results show that reducing the sampling interval can improve the accuracy of object surface shape measurement and achieve better reconstruction results.
文摘从相关文献中获得Fermi耀变体(blazar)的射电(R)1.4 GHz、光学(O)4.68×1014Hz、X-ray(X)1 ke V和γ-ray(γ)1 Ge V辐射流量密度,计算了上述波段两两之间的6个有效谱指数αRO、αRX、αRγ、αOX、αOγ、αXγ.研究了blazar总样本及其子类FSRQ(Flat Spectral Radio Quasar),蝎虎天体(BL Lac)含高同步峰频BL Lac(HBL)和低同步峰频BL Lac(LBL)样本的任意两个有效谱指数之间的关系.结果表明:(1)除HBL样本及αOX与αRγ之间关系外,两两有效谱指数之间均存在较强的相关,这种相关可用4个波段能谱分布的结构关系得到解释;(2)在有效谱指数相关的散点图中,FSRQ与LBL分布在相同的区域,但HBL与FSRQ(LBL)分布在不同的区域;(3)在不同的有效谱指数相关散点图中,HBL与FSRQ(LBL)分布的分离程度(区分度)不相同,这种区分度与决定2个有效谱指数的频率有关.
