Data-Bearing Image Pattern Authentication Using Z-Transform Encoding
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Solution Overview
Problem
Conventional information bearing devices using Fourier domain encoding for security features are easily reversible, making them ineffective in combating counterfeiting.
Innovation Solution
A data-bearing image pattern is created with characteristic spatial distribution properties using a set of discrete data and a characteristic relation function, where each discrete data point is associated with a unique image pattern, utilizing Bessel functions to encode and decode the data, ensuring security through the requirement of a specific key for data retrieval.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of information
If Fourier domain encoding is used to embed security data in image patterns, then the security features can be covertly embedded, but the embedded data can be easily retrieved by performing reverse Fourier Transform
Solution Approach 1:
The patent changes the mathematical domain from Fourier transform to Z-transform, altering the encoding parameters to create a more secure system. By using Z-transform with specific polynomial relationships between spectral coefficients and spatial domain data, the security features remain covertly embedded but become resistant to reverse engineering through standard Fourier methods.
2Reliability
If conventional coding or encryption schemes are used, then the security features can be implemented, but the coding can be easily reversed once the schemes are known
Solution Approach 1:
The patent replaces conventional encryption mechanisms with a mathematical transform-based approach using Z-transform. Instead of using traditional coding schemes that rely on secret keys and algorithms, the system embeds security data through polynomial relationships in the spectral domain, making the authentication mechanism more robust and difficult to reverse.
3Ease of manufacture
If straightforward Fourier transformation is used to embed security data, then the embedding process is simple, but the embedded Fourier data can be easily retrieved
Solution Approach 1:
The patent maintains the simplicity of transform-based embedding by using Z-transform, which similarly operates in the frequency domain like Fourier transform. However, by changing the mathematical parameters from Fourier coefficients to Z-transform spectral coefficients with polynomial relationships, the system achieves both ease of implementation and enhanced security against retrieval.
Data Source
AI summary
An information bearing device comprising a data bearing pattern, the data bearing pattern comprising M×N pattern defining elements which are arranged to define a set of characteristic spatial distribution properties (Îu,vM,N(x,y)), wherein the set of data comprises a plurality of discrete data and each said discrete data (ui,vi) has an associated data bearing pattern which is characteristic of said discrete data, and the set of characteristic spatial distribution properties is due to the associated data bearing patterns of said plurality of discrete data, wherein said discrete data and the associated data bearing pattern of said discrete data is related by a characteristic relation function (βk<sub2>1</sub2>,k<sub2>2</sub2>u<sub2>i</sub2>,v<sub2>i</sub2>(x,y), the characteristic relation function defining spatial distribution properties of said associated data bearing pattern according to said discrete data (ui,vi) and a characteristic parameter (k) that is independent of said discrete data.