Physical aspects of the hartley transform |
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| Institution: | 1. Institut de cancérologie de l’Ouest, département d’oncologie médicale, site de Nantes, boulevard J.-Monod, 44805 Saint-Herblain cedex, France;2. Hôpital Saint-Joseph, département d’hépato-gastroentérologie, 26, boulevard de Louvain, 13008 Marseille, France;1. Department of Conservation Biology, Doñana Biological Station-CSIC, Avda. Américo Vespucio, 26, 41092, Seville, Spain;2. Institut de Ciències del Mar-CSIC Passeig Marítim de la Barceloneta, 37-49, E-08003, Barcelona, Spain;3. Department of Applied Biology, Miguel Hernández University, Avda. de la Universidad, s/n, 03202 Elche, Alicante, Spain;4. Department of Animal Science, Faculty of Life Sciences and Engineering, University of Lleida, Plaza de Victor Siurana, 1, 25198, Lleida, Spain;5. Instituto de Investigación en Recursos Cinegéticos Ronda de Toledo, 12 13071, Ciudad Real, Spain;6. Departamento De Química Analítica y Tecnología de Alimentos, Instituto de Ciencias Ambientales, Universidad de Castilla-LaMancha, Avda. Carlos III s/n, 45071, Toledo, Spain;7. Animal Demography and Ecology Unit, IMEDEA CSIC-UIB, C. Miquel Marqués 21, 07190, Esporles, Mallorca, Spain;8. Area of Toxicology, Department of Health Sciences, IMIB-Arrixaca, University of Murcia, Campus de Espinardo, 30100, Murcia, Spain;1. Institute of Social and Preventive Medicine, University of Bern, Bern, Switzerland;2. Swiss EoE Research Group, Praxis Römerhof, Olten, Switzerland;3. Division of Gastroenterology and Hepatology, University Hospital Basel, Basel, Switzerland;4. Division of Gastroenterology and Hepatology, Mayo Clinic, Rochester, Minnesota;5. Division of Gastroenterology and Hepatology, University of North Carolina School of Medicine, Chapel Hill, North Carolina;6. Division of Gastroenterology, Feinberg School of Medicine, Northwestern University, Chicago, Illinois;7. Food Allergy Center at Tufts Medical Center and Floating Hospital for Children, Division of Allergy and Immunology, Division of Gastroenterology and Hepatology, Tufts Medical Center, Boston, Massachusetts;8. Viollier AG, Basel, Switzerland;9. Division of Pathology and Laboratory Medicine, Cincinnati Children''s Hospital Medical Center, Cincinnati, Ohio;10. Department of Pathology, Rady Children''s Hospital, University of California, San Diego, San Diego, California;11. Department of Laboratory Medicine and Pathology, Mayo Clinic College of Medicine, Scottsdale, Arizona;12. Department of Laboratory Medicine and Pathology, Mayo Clinic College of Medicine, Rochester, Minnesota;13. Department of Pathology and Laboratory Medicine, University of North Carolina School of Medicine, Chapel Hill, North Carolina;14. Institut Universitaire de Pathologie de Lausanne, Lausanne, Switzerland;15. Department of Pathology, Feinberg School of Medicine, Northwestern University, Chicago, Illinois;16. Department of Otolaryngology, Mayo Clinic, Rochester, Minnesota;17. GI Outcomes Unit, Mayo Clinic, Rochester, Minnesota;18. Department of Pediatrics, University of Colorado School of Medicine, Aurora, Colorado;19. Division of Pediatric Gastroenterology, Hepatology, and Nutrition, Riley Hospital for Children, Indiana University School of Medicine, Indianapolis, Indiana;20. Division of Allergy and Immunology, Rady Children’s Hospital, University of California, San Diego, San Diego, California;21. Departments of Pediatrics and Medicine, Mount Sinai Center for Eosinophilic Disorders, Jaffe Food Allergy Institute, Icahn School of Medicine at Mount Sinai, New York, New York;22. Divisions of Allergy and Immunology, Department of Pediatrics, The Children’s Hospital of Philadelphia, Perelman School of Medicine, University of Pennsylvania, Philadelphia, Philadelphia, Pennsylvania;23. Division of Gastroenterology and Hepatology, Centre Hospitalier Universitaire Vaudois (CHUV), Lausanne, Switzerland;1. Research Assistant, Division for Computerized Restorative Dentistry, Center of Dental Medicine, University of Zürich, Zürich, Switzerland;2. Department Head, Clinic for Preventive Dentistry, Periodontology and Cariology, Centre of Dental Medicine, University of Zürich, Zürich, Switzerland;3. Department Head, Division for Computerized Restorative Dentistry, Centre of Dental Medicine, University of Zürich, Zürich, Switzerland;1. Department of Chemistry and Institute of BioPhysio Sensor Technology (IBST), Pusan National University, Busan 46241, South Korea;2. Department of Pharmaceutical Chemistry, College of Health Sciences, University of KwaZulu-Natal, Durban 4000, South Africa;3. Department of Chemistry, Indian Institute of Technology Roorkee, Roorkee 247667, India |
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| Abstract: | The close links between Fourier analysis and physics are shared by the Hartley transform which, as its implications are worked out, will offer alternative approaches. A distinguishing feature is that the Hartley transform represents real data by real transform values, rather than complex, a feature that carries over into optical interferometry. Some objects however are characterized by phase as well as brightness. In such cases the Hartley transform acquires an imaginary part while the Fourier transform loses its Hermitian property. The interrelation between the two complex planes suggests an instrumental means for object phase determination starting from only amplitude information in the transform domain. |
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