Color image analysis by quaternion-type moments

DOI10.1007/s10851-014-0511-6zbMath1331.68266OpenAlexW1996040242MaRDI QIDQ2353423

Xingming Sun, Jean Louis Coatrieux, Gouenou Coatrieux, Gang Chen, Beijing Chen, Huazhong Shu

Publication date: 14 July 2015

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-014-0511-6

zbMATH Keywords

quaternioncolor imagecolor face recognitioncolor image registrationmoment invariance

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Pattern recognition, speech recognition (68T10)

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Uses Software

• COIL-100

Cites Work

• Unnamed Item
• Applications of Clifford's geometric algebra
• Illumination invariant face recognition using quaternion-based correlation filters
• A quaternion framework for color image smoothing and segmentation
• Quaternion Fourier-Mellin moments for color images
• Translation invariants of Zernike moments.
• A general geometric Fourier transform convolution theorem
• Local quaternion Fourier transform and color image texture analysis
• Template matching using the parametric template vector with translation, rotation and scale invariance
• The theory and use of the quaternion wavelet transform
• Reconstruction of tomographic images from limited range projections using discrete Radon transform and Tchebichef moments
• Quaternion and Clifford Fourier Transforms and Wavelets
• Clifford–Fourier Transform for Color Image Processing
• On image analysis by the methods of moments
• Hypercomplex Fourier Transforms of Color Images
• Moments and Moment Invariants in Pattern Recognition
• Color Object Recognition Based on a Clifford Fourier Transform
• Hypercomplex correlation techniques for vector images
• Estimation of Motions in Color Image Sequences Using Hypercomplex Fourier Transforms
• Combined Invariants to Similarity Transformation and to Blur Using Orthogonal Zernike Moments
• Affine Legendre Moment Invariants for Image Watermarking Robust to Geometric Distortions
• CLIFFORD ALGEBRA Cl_3,0-VALUED WAVELET TRANSFORMATION, CLIFFORD WAVELET UNCERTAINTY INEQUALITY AND CLIFFORD GABOR WAVELETS
• Quaternionic Fourier-Mellin Transform

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