Structured Light Scanning Using Chebyshev Polynomial Phase Calculation
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Solution Overview
Problem
Structured light scanning techniques face challenges in accurately determining the absolute position of a target object due to degeneracy in intensity measurements and global illumination effects, which can lead to errors in phase determination and position triangulation.
Innovation Solution
The method involves projecting and capturing images with spatially repeating patterns at different frequencies, where the differences between frequencies are equal, allowing for the calculation of relative and absolute phases using Chebyshev polynomials, thereby mitigating the effects of global illumination and improving computational efficiency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If multiple frequency patterns are used to determine absolute position, then measurement precision is improved, but device complexity increases
Solution Approach 1:
The patent introduces Chebyshev polynomials as an intermediary mathematical tool to compute absolute phase from relative phase measurements. Instead of directly solving the complex problem of absolute position determination from multiple frequency patterns, the Chebyshev polynomials serve as a mediator that transforms the relative phase data into absolute phase information, thereby improving measurement precision while managing system complexity through analytical solutions.
2Measurement precision
If high frequency patterns are used, then measurement precision is improved, but difficulty of detecting and measuring increases
Solution Approach 1:
The patent applies preliminary action by first capturing images with multiple frequency patterns and computing relative phase measurements before performing the absolute phase calculation. This preliminary capture and relative phase computation simplifies the subsequent absolute position determination, making the detection and measurement process more manageable while maintaining high precision through the use of high frequency patterns in the initial imaging stage.
3Measurement precision
If multiple images at different frequencies are captured, then measurement precision is improved, but loss of time increases
Solution Approach 1:
The patent implements continuity of useful action by capturing multiple images with different frequency patterns in rapid succession and processing them through a continuous computational workflow. The system maintains continuous operation by immediately processing each captured image to extract relative phase information and continuously applying Chebyshev polynomial computations to determine absolute phase, thereby minimizing idle time and reducing overall measurement time while maintaining high precision through multiple frequency measurements.
Data Source
AI summary
Techniques for scanning through structured light techniques that are robust to global illumination effects and that provide an accurate determination of position as provided. According to some aspects, described techniques may be computationally efficient compared with conventional techniques by making use of a novel approach of selecting frequencies of patterns for projection onto a target that mathematically enable efficient calculations. In particular, the selected frequencies may be chosen so that there is a known relationship between the frequencies. This relationship may be derived from Chebyshev polynomials and also relates the chosen frequencies to a low frequency pattern.