Phase Remapping for Holographic Data Compression
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Solution Overview
Problem
Current methods for expressing phase information in holography and other applications are inefficient in representing phase data, leading to increased data redundancy and bit requirements when using differential phase information, which hampers compression efficiency.
Innovation Solution
The method involves phase remapping to adjust the phase range of phase images and differential phase information within a predetermined range of 2π, utilizing the periodic characteristic of phase to maintain the same number of bits per sample without increasing the value range, thereby improving spatiotemporal correlation and compression efficiency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If differential phase information is used to represent phase data, then measurement precision is improved, but data redundancy increases and bit requirements increase
Solution Approach 1:
The patent applies parameter changes by remapping the phase values to a standardized range of 0 to 2π. This transformation changes the parameter representation of phase information, allowing differential phase data to be expressed within a bounded range. By converting phase values to this standardized range through modular arithmetic operations, the patent reduces data redundancy while preserving measurement precision, as equivalent phase values are mapped to the same representation.
2Productivity
If phase remapping is performed to adjust phase range within 2π, then compression efficiency is improved, but processing complexity increases
Solution Approach 1:
The patent replaces complex mechanical or computational phase adjustment mechanisms with a mathematical substitution approach. Instead of using complex algorithms to adjust phase ranges, the patent employs straightforward modular arithmetic operations (adding or subtracting 2π) to remap phase values. This substitution of mathematical operations for complex processing systems improves compression efficiency while minimizing the increase in processing complexity.
3Ease of operation
If phase information is expressed without remapping, then processing simplicity is maintained, but spatiotemporal correlation is reduced
Solution Approach 1:
The patent creates equipotentiality in phase representation by mapping all phase values to an equivalent range of 0 to 2π. This ensures that phase values with the same physical meaning (differing by integer multiples of 2π) are represented identically, establishing equipotential conditions for phase comparison. This approach maintains processing simplicity while improving spatiotemporal correlation, as adjacent pixels or temporal frames with equivalent phase values are now represented consistently.
Data Source
AI summary
Disclosed are a method and an apparatus for processing phase information. When receiving a phase image including phase information, a processing device performs phase remapping of mapping the phase image to a predetermined range. The predetermined range is a range of a first phase value to a second phase value having a period of 2π, and a difference between the first phase value and the second phase value is 2π.