Complex function as a template for image fusion

Khaustov, Yaroslav; Khaustov, D.; Hryvachevskyi, Andrii; Ryzhov, Y. V.; Lychkovskyy, E.; Prudyus, Ivan; Nastishin, Yu. A.

doi:10.1016/j.rio.2020.100038

Cited by 6 publications

(12 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As a consequence, scalar summation of the partial images u and  would lead to significant lowering or even vanishing of the contrast of target in the fused image [19]. For this reason, the image fusion based on the addition in the field of real scalars is, at least, not desirable for the multimodal partial images [13,14]. A transition to the complex scalar field solves the mentioned problem of vanishing contrast.…”

Section: Arguments For the Analogy With Jones Formalism?mentioning

confidence: 99%

“…We have shown in Refs. [13,14] that the contrast doubles for the phase image obtained with a so-called complex scalar-function image fusion (SCFIF) method. On the contrary, the contrast becomes zero (i.e., a target becomes invisible) in the frame of the scalaraddition fusion method whenever the target has the contrasts which are equal in the absolute values but opposite in the signs in its partial Vis and IR images [19].…”

Section: Arguments For the Analogy With Jones Formalism?mentioning

confidence: 99%

“…(17) shows that, in general, the inequality (which, in their turn, are defined by the components of the transformation matrix J via Eq. ( 18)) reduces the vector amplitude algorithm (17) of the CVIF method to the scalar amplitude algorithm of the SCFIF method [13,14]. The latter implies that the SCFIF method represents a particular case of the CVIF method.…”

Section: Amplitude Algorithmsmentioning

confidence: 99%

“…Although there are the pixel-fusion techniques based on different principles (e.g., expectation-maximization or Markov random-field algorithms [1]), the latter are not considered as express-techniques because of their complexity. One of the possibilities for boosting novel rapid arithmetic pixel-fusion techniques is overstepping the limits of the field of real scalars and passing into the fields of complex scalars and vectors [13,14].…”

Section: Introductionmentioning

confidence: 99%

“…Recently we have offered a complex scalar function as a template for the fusion of Vis and IR images [13,14]. In particular, we have generalized the fusion formalism from the field of complex scalar numbers to the field of complex vectors, such that one of the partial input images (Vis or IR) is chosen as a real component and the other image is an imaginary component of a complex 2D vector 0   , which is uniquely defined by these components in a vector basis.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Jones formalism for image fusion

Khaustov

Ryzhov

et al. 2021

Ukr. J. Phys. Opt.

View full text Add to dashboard Cite

We suggest a novel approach for the fusion of visible ( u ) and infrared ( ) images, basing on analogy between the mathematical forms of a Jones vector of elliptically polarized light wave and a complex 2D vector 0   composed of the images u and  . Since there is no restriction on which of the two images should be chosen as a real (or imaginary) component, one can construct 0   in the two forms,    0 of the Jones matrix for optically anisotropic medium. The above analogy with the Jones formalism allows one to synthesize the fused images using three types of the fusion algorithms, 'amplitude', 'azimuth' and 'ellipticity' ones. Varying the components of the J matrix with time, one can synthesize the fused image in a dynamic mode, thus animating the images fused under smoothly varying parameters, which are combinations of the J matrix components.

show abstract

Section: Arguments For the Analogy With Jones Formalism?mentioning

confidence: 99%

Section: Arguments For the Analogy With Jones Formalism?mentioning

confidence: 99%

Section: Amplitude Algorithmsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Jones formalism for image fusion

Khaustov

Ryzhov

et al. 2021

Ukr. J. Phys. Opt.

View full text Add to dashboard Cite

show abstract

Liquid crystal textures and optical characterization of a dye-doped nematic for generating vector beams

et al. 2021

View full text Add to dashboard Cite

In the present work, liquid-crystal (LC) textures with non-uniform directorfield configurations and azimuthal singularities are considered from the viewpoint of their applications for generating vector and scalar optical vortex beams. To generate a composite vector beam, a LC sample should be light-absorbing and dichroic. For generating a scalar vortex beam, a fork-like defect should be formed in a LC cell. To assess quantitatively these possibilities, we perform optical characterization of a dyedoped nematic. Namely, we employ known characterization techniques for measuring ordinary and extraordinary light absorption indices, linear dichroism, dispersion of linear-birefringence increment, and a scalar orientational order parameter. Since a light-absorbing dopant used by us is a fluorescent dye, the vector beams can be obtained in either transmitted or fluorescent lights. For this reason, we also measure the fluorescence of our dye-doped nematic.

show abstract