Stereoscopic Image Description With Trinion Fractional-Order Continuous Orthogonal Moments
Some research progress has been made on fractional-order continuous orthogonal moments (FrCOMs) in the past two years. Compared with integer-order continuous orthogonal moments (InCOMs), FrCOMs increase the number of affine invariants and effectively improve numerical stability. However, the existin...
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| Published in | IEEE transactions on circuits and systems for video technology Vol. 32; no. 4; pp. 1998 - 2012 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
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New York
IEEE
01.04.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| Abstract | Some research progress has been made on fractional-order continuous orthogonal moments (FrCOMs) in the past two years. Compared with integer-order continuous orthogonal moments (InCOMs), FrCOMs increase the number of affine invariants and effectively improve numerical stability. However, the existing types of FrCOMs are still very limited, of which all are planar image oriented. No report on stereoscopic images is available yet. To this end, in this paper, FrCOMs corresponding to various types of InCOMs are first deduced, and then, they are combined with trinion theory to construct trinion FrCOMs (TFrCOMs) applicable to stereoscopic images. Furthermore, the reconstruction performance and geometric invariance of TFrCOMs are analyzed theoretically and experimentally. Finally, an application in the stereoscopic image zero-watermarking algorithm is investigated to verify the superior performance of TFrCOMs. |
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| AbstractList | Some research progress has been made on fractional-order continuous orthogonal moments (FrCOMs) in the past two years. Compared with integer-order continuous orthogonal moments (InCOMs), FrCOMs increase the number of affine invariants and effectively improve numerical stability. However, the existing types of FrCOMs are still very limited, of which all are planar image oriented. No report on stereoscopic images is available yet. To this end, in this paper, FrCOMs corresponding to various types of InCOMs are first deduced, and then, they are combined with trinion theory to construct trinion FrCOMs (TFrCOMs) applicable to stereoscopic images. Furthermore, the reconstruction performance and geometric invariance of TFrCOMs are analyzed theoretically and experimentally. Finally, an application in the stereoscopic image zero-watermarking algorithm is investigated to verify the superior performance of TFrCOMs. |
| Author | Wang, Chunpeng Xia, Zhiqiu Shi, Yun-Qing Li, Qi Ma, Bin Li, Jian |
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| SubjectTerms | Algorithms fractional-order continuous orthogonal moments (FrCOMs) Harmonic analysis Image reconstruction Numerical stability Quaternions Stereo image processing stereoscopic image reconstruction stereoscopic image zero watermarking Stereoscopy Transforms Trinion trinion FrCOMs (TFrCOMs) Watermarking |
| Title | Stereoscopic Image Description With Trinion Fractional-Order Continuous Orthogonal Moments |
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