A rgb-d object recognition method based on quaternion generalized discriminant analysis

Abstract

The present invention is a RGB-D target recognition method based on quaternion generalized discriminant analysis, including RGB-D image representation mode based on quaternion, definition of quaternion generalized discriminant analysis, two-way quadruple based on average row and average column A generalized discriminant analysis recognition method for quaternions; among them, the quaternion-based RGB‑D image representation method solves the data redundancy and additional calculations that exist in the existing quaternion color image representation method when using four-dimensional quaternions to represent three-dimensional color images For the problem of insufficient overhead, the kernel function is introduced into the field of quaternion subspace analysis, and the generalized discriminant analysis of quaternion is defined, which solves the problem that the existing quaternion subspace analysis algorithm has an unsatisfactory effect on quaternion nonlinear signal processing, and finally Through the bidirectional quaternion generalized discriminant analysis recognition method based on the average row and average column, the problem of excessive computational complexity of the quaternion kernel matrix eigendecomposition in the RGB-D recognition process is eliminated, and the target recognition method is improved. recognition effect.

Description

technical field

[0001] The invention relates to the field of civil engineering, in particular to a RGB-D object recognition method based on quaternion generalized discriminant analysis. Background technique

[0002] The color image quaternion representation method (QR) is widely used in processing color images: each pixel of a color image is represented by a pure quaternion, and three channels are used as its three imaginary parts [Subakan O N, Vemuri B C .Aquaternion framework for color image smoothing and segmentation[J].International Journal of Computer Vision,2011,91(3):233-250.]. Its advantage is that the color image is regarded as a vector whole and the internal relationship between the three channels is considered. However, when a four-dimensional quaternion is used to represent a three-dimensional color image, its fourth dimension will generate storage redundancy and additional computational costs [Asefa D, Mansinha L, Tiampo K F, et al.The trinion Fourier transform...

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