Fourier descriptors and their applications in biology /
[Book]
edited by Pete E. Lestrel.
New York :
Cambridge University Press,
1997.
xi, 466 pages :
illustrations ;
26 cm
Includes bibliographical references and index.
Introduction and overview of Fourier descriptors / Pete E. Lestrel -- Growth and form revisited / Dwight W. Read -- Methodological issues in the description of forms / Paul O'Higgins -- Phase angles, harmonic distance and the analysis of form / Roger L. Kaesler -- Closed-form Fourier analysis: a procedure of extraction of ecological information about foraminiferal test morphology / Nancy Healy-Williams, Robert Ehrlich and William Full -- Fourier descriptors and shape differences: studies on the upper vertebral column of the mouse / David Johnson -- Application of the Fourier method of genetic studies of dentofacial morphology / Lindsay Richards, Grant Townsend and Kazutaka Kasai -- Fourier analysis of size and shape changes in the Japanese skull / Fumio Ohtsuki, Pete E. Lestrel, Teruo Uetake, Kazutaka Adachi and Kazuro Hanihara -- Craniofacial variability in the Hominoidea / Burkhard Jacobshagen -- Heuristic adequacy of Fourier descriptors: methodologic aspects and applications in morphology / Vittorio Pesce Delfino, Teresa Lettini and Eligio Vacca -- Analyzing human gait with Fourier descriptors / Teruo Uetake -- Elliptical Fourier descriptors of cell and nuclear shapes / Giacomo Diaz, Corrado Cappai, Maria Dolores Setzu, Silvia Sirigu and Andrea Diana -- Cranial base changes in shunt-treated hydrocephalics: Fourier descriptors / Pete E. Lestrel and Jan A. Huggare -- A numerical and visual approach for measuring the effects of functional appliance therapy: Fourier descriptors / Won Moon -- Size and shape of the rabbit orbit: 3-D Fourier descriptors / Pete E. Lestrel, Dwight W. Read and Charles Wolfe -- From optical to computational Fourier transforms: the natural history of an investigation of the cancellous structure of bone / Charles E. Oxnard -- Epilogue: Fourier methods and shape analysis / Neal Garrett.
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The purpose of this book is to introduce Fourier descriptors as a method for measuring the shape of whole, or parts, of organisms. Fourier descriptors refer to the utilization of Fourier analysis, primarily the Fourier series as a curve-fitting technique, that can numerically describe the outline (shape) of irregular structures such as are commonly found in living organisms. The quantitative characterization of irregular forms is often a first step toward elucidation of the underlying biological processes, whether they be genetic, evolutionary, or functional.