Phase Singularity Displacement Detection
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Solution Overview
Problem
Conventional displacement detection methods face challenges with long computation times and the inability to easily detect rotary displacements using correlation techniques.
Innovation Solution
A method that specifies phase singularities before and after displacement by acquiring predetermined elements from the phase structure, using linear interpolation of real and imaginary parts, and applying filtering processes to obtain pseudo phase information, allowing for accurate detection of displacements including rotary movements.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the number of computation points of the correlation value within the pixel is increased to increase the resolution of displacement detection, then the measurement precision is improved, but the computation time becomes extremely long
Solution Approach 1:
The patent segments the continuous phase information into discrete phase singularities (points where phase is undefined). By detecting and tracking these singularities instead of computing correlation at every pixel point, the method achieves high-resolution displacement measurement while dramatically reducing computation time. The phase singularities serve as key feature points that capture the essential displacement information.
Solution Approach 2:
The patent extracts only the essential phase information (phase singularities) from the full complex spectrum, discarding the amplitude information. This extraction of pure phase singularities allows for efficient tracking and displacement calculation without the computational burden of processing the entire correlation field at high resolution.
2Adaptability or versatility
If the correlation technique is used to detect displacement, then the measurement capability is provided, but the rotary displacement cannot be detected with ease
Solution Approach 1:
The patent changes the detection parameter from amplitude-based correlation to phase-based singularity tracking. Phase singularities rotate with the object, and by tracking the angular position and movement of these singularities, the system can easily detect rotary displacements in addition to translational displacements, greatly enhancing versatility.
3Measurement precision
If the conventional correlation technique is used, then the displacement detection is achieved, but the computation complexity becomes high due to two-dimensional correlation integration or Fourier transform requirements
Solution Approach 1:
The patent extracts only the phase component from the complex correlation spectrum, eliminating the need for full two-dimensional correlation integration or inverse Fourier transforms. By working solely with phase singularities (points where phase is undefined), the computation complexity is dramatically reduced while maintaining displacement detection accuracy.
Solution Approach 2:
The patent replaces the mechanical/computational process of two-dimensional correlation integration with a simpler phase-tracking approach. Instead of performing heavy numerical integration or Fourier transforms, the system simply identifies and tracks phase singularity positions, substituting complex mathematical operations with simpler geometric tracking.
Data Source
AI summary
A displacement detection method detects a displacement from phase singularities before and after the displacement, by specifying the phase singularities based on predetermined elements by acquiring the elements from a phase structure of the phase singularities, and detecting positions of the phase singularities after the displacement based on the elements acquired by specifying of the phase singularity.