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Double-frequency inusoidal grating absolute phase unwrapping method based on integral linear programming search method

An integer linear programming, sinusoidal grating technology, applied in the direction of using optical devices, measuring devices, instruments, etc., can solve the problems of unpacking deviation, ignoring actual values, differences, etc.

Inactive Publication Date: 2014-09-10
NORTHWESTERN POLYTECHNICAL UNIV
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Problems solved by technology

[0018] But in (2), n is not determined from the real deformed sinusoidal grating image low (x,y) and n high (x,y), which ignores the actual value of the fringe series in the real deformed grating image, and there is a certain difference with the determined template, which will bring deviation to the unwrapping

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  • Double-frequency inusoidal grating absolute phase unwrapping method based on integral linear programming search method
  • Double-frequency inusoidal grating absolute phase unwrapping method based on integral linear programming search method
  • Double-frequency inusoidal grating absolute phase unwrapping method based on integral linear programming search method

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Embodiment Construction

[0057] The present invention will be further described in detail below in conjunction with the accompanying drawings and tables.

[0058] Step1: Generate a standard dual-frequency sinusoidal raster image

[0059] Design coding, after N steps of phase shift, generate high and low frequency (low frequency f low , high frequency f high ) 2N pieces of standard dual-frequency sinusoidal grating fringe images that are mutually prime numbers, N pieces of high frequency and low frequency;

[0060] The specific implementation method of the above Step1 is:

[0061] 1.1 Choose any pair of high and low frequencies f that are mutually prime numbers high , f low ;

[0062] 1.2 Based on the phase shift technology and the mathematical model of the sinusoidal grating, a standard dual-frequency sinusoidal grating fringe image is generated, and its high and low frequency images can be expressed as

[0063] I n low ( ...

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Abstract

The invention provides a double-frequency inusoidal grating absolute phase unwrapping method based on the integral linear programming search method. The method is characterized in that the integer linear programming method related to relative phase and fringe order is proposed according to the traditional double-frequency unwrapping principle, and the corresponding target functions and limiting conditions are created accordingly; a deformed inusoidal grating image is used as the calculating object to processing by ergodic searching by the method above, thus the integer pair of the fringe order can be quickly and accurately found out, and as a result, the purpose of unwrapping can be reached. According to the method, no requirement is proposed for the proportional relation between high frequency and low frequency, thus the applicable scope of the method is expanded; the order of priority is not proposed, so that the high-frequency and low-frequency unwrapping can be performed at the same time, and as a result, the operability of the method is improved; any intermediate over-capacity is not introduced and the sub-intervals are not divided, and therefore, the calculation process is simplified, the calculation amount is greatly decreased, and the operation efficiency is raised.

Description

technical field [0001] The invention belongs to the related field of optical three-dimensional measurement, and relates to a time-domain unwrapping method of absolute phase unwrapping, in particular to an absolute phase unwrapping method of an integer linear programming search method, which can be used for any dual-frequency The sinusoidally structured grating stripes enable fast and accurate absolute phase unwrapping. Background technique [0002] Digital grating projection technology has the advantages of non-contact, low cost, high precision and high efficiency, so it is widely used in three-dimensional shape measurement. One of the keys to this technique is the fast and accurate unwrapping of the deformed grating fringe image (absolute phase unwrapping), that is, the truncated phase (relative phase) whose phase value is distributed in the interval [-π, π] is expanded to [-fπ, fπ ] (f is the frequency of the grating) interval continuous phase (absolute phase). [0003] ...

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Application Information

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IPC IPC(8): G01B11/25
Inventor 莫蓉卢津孙惠斌聂寇准蒋超峰
Owner NORTHWESTERN POLYTECHNICAL UNIV
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