Quantum image scaling up based on nearest-neighbor interpolation with integer scaling ratio

2015 ◽  
Vol 14 (11) ◽  
pp. 4001-4026 ◽  
Author(s):  
Nan Jiang ◽  
Jian Wang ◽  
Yue Mu
Keyword(s):  
Nearest Neighbor ◽  
Scaling Up ◽  
Quantum Image ◽  
Image Scaling

Quantum multidimensional color image scaling using nearest-neighbor interpolation based on the extension of FRQI

2017 ◽  
Vol 31 (17) ◽  
pp. 1750184 ◽  
Author(s):  
Ri-Gui Zhou ◽  
Canyun Tan ◽  
Ping Fan
Keyword(s):  
Nearest Neighbor ◽  
Complexity Analysis ◽  
Color Image ◽  
Scaling Up ◽  
Quantum Image ◽  
Image Scaling ◽  
Lower Complexity ◽  
Scaling Down ◽  
Classical Computer ◽  
First Time

Reviewing past researches on quantum image scaling, only 2D images are studied. And, in a quantum system, the processing speed increases exponentially since parallel computation can be realized with superposition state when compared with classical computer. Consequently, this paper proposes quantum multidimensional color image scaling based on nearest-neighbor interpolation for the first time. Firstly, flexible representation of quantum images (FRQI) is extended to multidimensional color model. Meantime, the nearest-neighbor interpolation is extended to multidimensional color image and cycle translation operation is designed to perform scaling up operation. Then, the circuits are designed for quantum multidimensional color image scaling, including scaling up and scaling down, based on the extension of FRQI. In addition, complexity analysis shows that the circuits in the paper have lower complexity. Examples and simulation experiments are given to elaborate the procedure of quantum multidimensional scaling.

Quantum image scaling using nearest neighbor interpolation

2014 ◽  
Vol 14 (5) ◽  
pp. 1559-1571 ◽  
Author(s):  
Nan Jiang ◽  
Luo Wang
Keyword(s):  
Nearest Neighbor ◽  
Quantum Image ◽  
Image Scaling

scholarly journals Scaling Up and Down of 3-D Floating-point Data in Quantum Computation

2021 ◽  
Author(s):  
Meiyu Xu ◽  
Dayong Lu ◽  
Xiaoyun Sun
Keyword(s):  
Quantum Computation ◽  
Scaling Up ◽  
Floating Point ◽  
Geometric Transformation ◽  
Double Precision ◽  
Quantum Image ◽  
Image Scaling ◽  
Trilinear Interpolation ◽  
Point Data ◽  
Floating Point Numbers

Abstract In the past few decades, quantum computation has become increasingly attractivedue to its remarkable performance. Quantum image scaling is considered a common geometric transformation in quantum image processing, however, the quantum floating-point data version of which does not exist. Is there a corresponding scaling for 2-D and 3-D floating-point data? The answer is yes.In this paper, we present quantum scaling up and down scheme for floating-point data by using trilinear interpolation method in 3-D space. This scheme offers better performance (in terms of the precision of floating-point numbers) for realizing the quantum floating-point algorithms compared to previously classical approaches. The Converter module we proposed can solve the conversion of fixed-point numbers to floating-point numbers of arbitrary size data with p + q qubits based on IEEE-754 format, instead of 32-bit single-precision, 64-bit double precision or 128-bit extended-precision. Usually, we use nearest neighbor interpolation and bilinear interpolation to achieve quantum image scaling algorithms, which are not applicable in high-dimensional space. This paper proposes trilinear interpolation of floating-point numbers in 3-D space to achieve quantum algorithms of scaling up and down for 3-D floating-point data. Finally, the circuits of quantum scaling up and down for 3-D floating-point data are designed.

scholarly journals An Automatic Image Scaling Up Algorithm

2012 ◽  
pp. 35-44 ◽  
Author(s):  
Maria Frucci ◽  
Carlo Arcelli ◽  
Gabriella Sanniti di Baja
Keyword(s):  
Scaling Up ◽  
Image Scaling

Applied Technology in Multidimensional Color Image Scaling Based on NASS in a Quantum System

2014 ◽  
Vol 1046 ◽  
pp. 411-414
Author(s):  
Hai Sheng Li ◽  
Kai Song
Keyword(s):  
Quantum System ◽  
Nearest Neighbor ◽  
Quantum Computer ◽  
Color Image ◽  
Quantum Circuit ◽  
Geometric Transformation ◽  
Superposition State ◽  
Image Scaling ◽  
Applied Technology ◽  
Scaling Down

In this study, an important geometric transformation, multidimensional color image scaling based on an n-qubit normal arbitrary superposition state (NASS), is put forward. In order to reduce the complexity of implementation of image scaling in a quantum system, nearest neighbor interpolation algorithm is chosen to implement image scaling up. And the corresponding quantum circuit of implementation is proposed. Finally, we discuss measurements of the part qubits of a NASS state to realize image scaling down. The paper explores theoretical and practical aspects of image processing on a quantum computer.

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