In this paper, a new approach to fitting aspheric surfaces in three-dimensional space is proposed, based on the nonlinear least-squares algorithm. The method is superior to conventional solutions as all the surface parameters can be estimated simultaneously based on the design equation, thus allowing the result to be directly compared to design parameters. Conventionally, aspheric surfaces can be fitted with simplified surface models, such as a second order surface or polynomial model. Using this approach the estimated parameters cannot be compared with the design values, breaking the link between the designed and measured surface. The new method is developed here and tested on computer simulated aspheric surfaces. Both ideal surfaces and s...
This paper considers the sensitivity of three sphere-fitting algorithms to real-world measurement er...
Synthetic aperture interferometry (SAI) is a novel way of measuring aspherical optics (aspherics) wh...
This paper presents an investigation of the nonlinear least-squares sphere fitting algorithm (TLSA)....
This thesis describes an investigation into the measurement and the characterisation of spherical an...
AbstractAspheric surfaces have become widely used in various fields ranging from imaging systems to ...
Aspheric surfaces have become widely used in various fields ranging from imaging systems to energy a...
In the framework of form characterization of aspherical surfaces, European National Metrology Instit...
Methods for the assessment of curved, rotationally symmetric surfaces in three dimensions are develo...
The standard representation of an aspheric optical surface is a power series added to a base conic. ...
Recent developments in high precision machining have allowed for the design and manufacture of preci...
Aspheric lenses show significant superiority over traditional spherical ones. The peak-to-valley for...
We show an optimization method based on an evolutive algorithm to obtain the profile of a simulated ...
The problem is considered of fitting surfaces to measured data using the least squares norm, where...
提出了一种新的、能完全统一二次非球面与高次非球面的非球面度计算,且能直接得出最接近球的球心位置的计算方法面积长度法.该方法的计算内涵是两条相似曲线分别与某一固定点围成的面积应相等,且两条曲线的长度应非...
Aspheric surfaces can provide significant benefits to optical systems, but manufacturing high-precis...
This paper considers the sensitivity of three sphere-fitting algorithms to real-world measurement er...
Synthetic aperture interferometry (SAI) is a novel way of measuring aspherical optics (aspherics) wh...
This paper presents an investigation of the nonlinear least-squares sphere fitting algorithm (TLSA)....
This thesis describes an investigation into the measurement and the characterisation of spherical an...
AbstractAspheric surfaces have become widely used in various fields ranging from imaging systems to ...
Aspheric surfaces have become widely used in various fields ranging from imaging systems to energy a...
In the framework of form characterization of aspherical surfaces, European National Metrology Instit...
Methods for the assessment of curved, rotationally symmetric surfaces in three dimensions are develo...
The standard representation of an aspheric optical surface is a power series added to a base conic. ...
Recent developments in high precision machining have allowed for the design and manufacture of preci...
Aspheric lenses show significant superiority over traditional spherical ones. The peak-to-valley for...
We show an optimization method based on an evolutive algorithm to obtain the profile of a simulated ...
The problem is considered of fitting surfaces to measured data using the least squares norm, where...
提出了一种新的、能完全统一二次非球面与高次非球面的非球面度计算,且能直接得出最接近球的球心位置的计算方法面积长度法.该方法的计算内涵是两条相似曲线分别与某一固定点围成的面积应相等,且两条曲线的长度应非...
Aspheric surfaces can provide significant benefits to optical systems, but manufacturing high-precis...
This paper considers the sensitivity of three sphere-fitting algorithms to real-world measurement er...
Synthetic aperture interferometry (SAI) is a novel way of measuring aspherical optics (aspherics) wh...
This paper presents an investigation of the nonlinear least-squares sphere fitting algorithm (TLSA)....