Imaging system design method based on Gaussian radial basis function curved surface

A Gaussian radial basis and imaging system technology, applied in computing, computer components, optics, etc., can solve the problems of not fully utilizing the local properties of the Gaussian function, and achieve the effect of easy implementation and simple method

Active Publication Date: 2021-07-16
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

However, there are few existing methods for designing imaging optical systems using Gaussian functions. Unchanged, did not make full use of the local properties of

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  • Imaging system design method based on Gaussian radial basis function curved surface
  • Imaging system design method based on Gaussian radial basis function curved surface
  • Imaging system design method based on Gaussian radial basis function curved surface

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Embodiment Construction

[0022] The present invention will be described in detail below with reference to the accompanying drawings and examples.

[0023] The invention provides an imaging system design method based on Gaussian radial basis function surface.

[0024] As a radial basis, the Gaussian function has locality, and has the ability to control the local surface shape in the surface shape description. The mathematical expression of a typical standard two-dimensional Gaussian function can be defined by the standard deviation σ and the center position (x i ,y i ) to describe, namely:

[0025]

[0026] A Gaussian radial basis function surface for an imaging system consists of the sum of the base quadric and a set of weighted Gaussian terms:

[0027]

[0028] In the formula, c is the curvature at the vertex of the surface, k is the coefficient of the quadratic surface, and g j (x,y)(1≤j≤J) is the same standard deviation but the center position (x i ,y i ) different Gaussian functions, w...

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Abstract

The invention discloses an imaging system design method based on a Gaussian radial basis function curved surface. An optical system with a field of view smaller than a required value serves as a design starting point, then the field of view is gradually enlarged, based on the thought of field of view expansion and Gaussian continuation, new Gaussian functions are sequentially added to the edge of a curved surface along with expansion of the field of view, the size of the curved surface is gradually expanded, and an imaging system finally meeting design indexes is obtained through progressive optimization. The method is simple, easy to implement and particularly suitable for design of a large-field-of-view imaging optical system. According to the method, convenience is provided for an actual imaging system to apply the Gaussian radial basis function curved surface, the method is convenient, easy and convenient to use and high in applicability, and for free-curved surface imaging systems of various applications and various system structures, the method can be used for gradually completing system design from a simple system as a starting point.

Description

technical field [0001] The invention relates to the technical field of optical design, in particular to an imaging system design method based on a Gaussian radial basis function surface. Background technique [0002] Compared with traditional spherical or aspheric surfaces, free-form surfaces can provide more degrees of freedom in optical design, which can greatly improve the imaging quality of the system, and make the system structure more flexible, with fewer components, smaller volume, and lighter weight. Therefore, freeform surfaces are considered a revolutionary development in the field of optical design. The curved surface based on Gaussian function is a kind of free-form surface, which has some excellent properties in optical design. First, Gaussian functions are smooth and continuous, with derivatives of arbitrary order. This feature facilitates ray tracing. Secondly, the Fourier transform of the Gaussian function is itself, which is of great significance in the c...

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Application Information

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IPC IPC(8): G02B27/00G06K9/62
CPCG02B27/0012G06F18/2414
Inventor 杨通倪俊豪程德文王涌天
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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