Quaternion quantum image representation: new models

Artyom M. Grigoryan; Sos Agaian

doi:10.1117/12.2557862

21 April 2020 Quaternion quantum image representation: new models

Artyom M. Grigoryan, Sos Agaian

Proceedings Volume 11399, Mobile Multimedia/Image Processing, Security, and Applications 2020; 113990O (2020) https://doi.org/10.1117/12.2557862
Event: SPIE Defense + Commercial Sensing, 2020, Online Only

Abstract

In quaternion algebra the color images are processed not by separating their color components, but these components are presented and processed together as one unit. In framework of the quaternion image representation, many effective methods of processing color images can be developed, including image enhancement in spatial and frequency domains. In this paper, we unite two approaches for processing color images, by proposing a quaternion representation in quantum imaging, which includes the color images in the RGB model together with the grayscale component or brightness. The concept of quaternion two-qubit is considered and applied for image representation in each quantum pixel. The colors at each pixel are processed as one unit in quaternion representation. Other new models for quaternion image representation are also described. It is shown that a quaternion image or four component image of 𝑁 × 𝑀 pixels, can be represented by (𝑟 + 𝑠 + 2) qubits, when 𝑁 = 2^𝑟 and 𝑀 = 2^𝑠, 𝑟, 𝑠 > 1. The number of qubits for representing the image can be reduced to (𝑟 + 𝑠), when using the quaternion 2-qubit concept.

Conference Presentation

Citation Download Citation

Artyom M. Grigoryan and Sos Agaian "Quaternion quantum image representation: new models", Proc. SPIE 11399, Mobile Multimedia/Image Processing, Security, and Applications 2020, 113990O (21 April 2020); https://doi.org/10.1117/12.2557862

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available