%0 Journal Article %T Construction of a complete set of orthogonal Fourier-Mellin moment invariants for pattern recognition applications %+ Laboratory of Image Science and Technology [Nanjing] (LIST) %+ Centre de Recherche en Information Biomédicale sino-français (CRIBS) %+ Laboratoire Traitement du Signal et de l'Image (LTSI) %+ Department of Radiation Oncology %A Zhang, Hui %A Shu, Huazhong %A Haigron, Pascal %A Luo, Limin, M. %A Li, Baosheng %Z This work was supported by Program for Changjiang Scholars and Innovative Research Team in University and by the National Natural Science Foundation of China under Grant 30670617. %< avec comité de lecture %@ 0262-8856 %J Image and Vision Computing %I Elsevier %V 28 %N 1 %P 38-44 %8 2010-01-01 %D 2010 %R 10.1016/j.imavis.2009.04.004 %K Orthogonal Fourier-Mellin moments %K Completeness %K Similarity invariants %K Moment invariants %K Pattern recognition %Z Engineering Sciences [physics]/Signal and Image processing %Z Life Sciences [q-bio]/Bioengineering %Z Life Sciences [q-bio]/Bioengineering/Imaging %Z Mathematics [math]/Representation Theory [math.RT] %Z Computer Science [cs]/Signal and Image ProcessingJournal articles %X The completeness property of a set of invariant descriptors is of fundamental importance from the theoretical as well as the practical points of view. In this paper, we propose a general approach to construct a complete set of orthogonal Fourier-Mellin moment (OFMM) invariants. By establishing a relationship between the OFMMs of the original image and those of the image having the same shape but distinct orientation and scale, a complete set of scale and rotation invariants is derived. The efficiency and the robustness to noise of the method for recognition tasks are shown by comparing it with some existing methods on several data sets. %G English %2 https://inserm.hal.science/inserm-00420576/document %2 https://inserm.hal.science/inserm-00420576/file/Construction_of_complete_set_of_orthogonal_Fourier-Mellin_momentinvariantsfor_pattern_recognition_applications.pdf %L inserm-00420576 %U https://inserm.hal.science/inserm-00420576 %~ INSERM %~ UNIV-RENNES1 %~ LTSI %~ INSMI %~ CRIBS %~ UR1-HAL %~ UR1-MATH-STIC %~ TEST-UNIV-RENNES %~ TEST-UR-CSS %~ UNIV-RENNES %~ UR1-MATH-NUM %~ UR1-BIO-SA