Simplified square to hexagonal lattice conversion based on 1-D multirate processing

Hexagonal image sampling and processing are theoretically superior to the most commonly used square lattice based sampling and processing, but due to the lack of commercial image sensors, current research mainly relies on virtually hexagonally sampled data through square to hexagonal lattice convers...

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Bibliographic Details
Published in:Signal processing. Image communication 2021-11, Vol.99, p.116481, Article 116481
Main Author: Li, Xiangguo
Format: Article
Language:English
Subjects:
2-D interpolation
Conversion
Hexagonal lattice
Hexagonal sampling
Horizontal orientation
Interpolation
Lattices conversion
Multirate signal processing
Parallel processing
Sampling
Separable processing
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Summary:Hexagonal image sampling and processing are theoretically superior to the most commonly used square lattice based sampling and processing, but due to the lack of commercial image sensors, current research mainly relies on virtually hexagonally sampled data through square to hexagonal lattice conversion, which is a typical 2-D interpolation problem. This paper presents a simplified and efficient square to hexagonal lattice conversion method. The method firstly utilizes the separable nature of the interpolation kernel to simplify the original 2-D interpolation into 1-D interpolation along the horizontal direction only, and then it applies the 1-D multirate technique to further simplify the shift-variant 1-D interpolation into shift-invariant 1-D convolutions. Compared with the original 2-D interpolation version, the proposed method becomes both simple and computationally efficient, and it is also suitable for implementation with parallel processing and hardware. Finally, experiments are performed and the results are consistent with the analysis. •Analysis of the square to hexagonal lattice conversion.•Simplified and efficient square to hexagonal conversion method.•Efficiency analysis and experimental validation.
ISSN:0923-5965
1879-2677
DOI:10.1016/j.image.2021.116481