Translation and scale invariance of 2D and 3D Hahn moments
Vishal Kumar Pandey, Jyotsna Singh, Harish Parthasarathy
Abstract
Vishal Kumar Pandey, Jyotsna Singh, Harish Parthasarathy
Abstract
Moment invariants of 3D point distributions may be computed that are ST(scale and translation) invariant, in the same way as 2D moment invariants. Hahn moment is a discrete orthogonal moment which can be a useful set of image feature descriptor. Their higher order moments have better image representation power as compared to legendre and Zernike moments. Hahn moments can be utilized to adaptively extract the global and local information of an image. 3D Hahn moments and their invariants can be used for image analysis and recognition of different 3D images, such as MRI or PET. In this paper, we have introduced TS(translation and scale) invariants of two and three-dimensional Hahn moments. The Experimental results are given in order to consolidate the theoretical derivations.
OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Moment invariants of 3D point distributions may be computed that are ST(scale and translation) invariant, in the same way as 2D moment invariants. Hahn moment is a discrete orthogonal moment which can be a useful set of image feature descriptor. Their higher order moments have better image representation power as compared to legendre and Zernike moments. Hahn moments can be utilized to adaptively extract the global and local information of an image. 3D Hahn moments and their invariants can be used for image analysis and recognition of different 3D images, such as MRI or PET. In this paper, we have introduced TS(translation and scale) invariants of two and three-dimensional Hahn moments. The Experimental results are given in order to consolidate the theoretical derivations.
Key concepts: Zernike polynomials, Velocity Moments, Image moment, Legendre polynomials, Moment (physics), Invariant (physics), Mathematics, Translation (biology)