Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- Acknowledgments
- Part one Theoretical considerations
- Part two Applications of Fourier descriptors
- 6 Closed-form Fourier analysis: A procedure for extraction of ecological information about foraminiferal test morphology
- 7 Fourier descriptors and shape differences: Studies on the upper vertebral column of the mouse
- 8 Application of the Fourier method on genetic studies of dentofacial morphology
- 9 Fourier analysis of size and shape changes in the Japanese skull
- 10 Craniofacial variability in the hominoidea
- 11 Heuristic adequacy of Fourier descriptors: Methodologic aspects and applications in Morphological
- 12 Analyzing human gait with Fourier descriptors
- 13 Elliptic Fourier descriptors of cell and nuclear shapes
- 14 Cranial base changes in shunt-treated hydrocephalics: Fourier descriptors
- 15 A numerical and visual approach for measuring the effects of functional appliance therapy: Fourier descriptors
- 16 Size and shape of the rabbit orbit: 3-D Fourier descriptors
- 17 From optical to computational Fourier transforms: The natural history of an investigation of the cancellous structure of bone
- 18 Epilogue: Fourier methods and shape analysis
- Appendix
- Glossary
- Index
10 - Craniofacial variability in the hominoidea
Published online by Cambridge University Press: 14 September 2009
- Frontmatter
- Contents
- List of contributors
- Preface
- Acknowledgments
- Part one Theoretical considerations
- Part two Applications of Fourier descriptors
- 6 Closed-form Fourier analysis: A procedure for extraction of ecological information about foraminiferal test morphology
- 7 Fourier descriptors and shape differences: Studies on the upper vertebral column of the mouse
- 8 Application of the Fourier method on genetic studies of dentofacial morphology
- 9 Fourier analysis of size and shape changes in the Japanese skull
- 10 Craniofacial variability in the hominoidea
- 11 Heuristic adequacy of Fourier descriptors: Methodologic aspects and applications in Morphological
- 12 Analyzing human gait with Fourier descriptors
- 13 Elliptic Fourier descriptors of cell and nuclear shapes
- 14 Cranial base changes in shunt-treated hydrocephalics: Fourier descriptors
- 15 A numerical and visual approach for measuring the effects of functional appliance therapy: Fourier descriptors
- 16 Size and shape of the rabbit orbit: 3-D Fourier descriptors
- 17 From optical to computational Fourier transforms: The natural history of an investigation of the cancellous structure of bone
- 18 Epilogue: Fourier methods and shape analysis
- Appendix
- Glossary
- Index
Summary
Introduction: The measurement of cranial shape
This chapter surveys some approaches to craniometry, each of them designed to represent the surface or internal morphology in 3-D. The reason for using 3-D measurements is to prevent an irreversible loss of data in the first phase of numerical description. Simplifications leading to 2-D data, or other processes to reduce the number of descriptors, can be carried out subsequently. In contrast to the fixed sequence of conventional caliper measurements, such sets of variables can be redefined later (Moyers and Bookstein, 1979). Moreover, new types of variables, for example, spatial measures, might be added. Furthermore, landmarks can be included that are not necessarily defined by conventional anatomical descriptions. An additional advantage with such 3-D measures, besides an increase in efficiency, is that problems of biomechanical function may be correlated with morphology and other biological approaches can be analyzed more adequately (Jacobshagen, 1985).
The range of 3-D measuring techniques includes mechanical contact devices, such as 3-D digitizers (Menk, 1978), and noncontact methods (see Table 10.1). The latter methods utilize visible light, X-rays, electron spin resonance (ESR), nuclear magnetic resonance (NMR), and other techniques. In the morphometry of bony structures, those methods, like ESR and NMR, that are primarily used to measure physiological parameters (soft tissue), have no particular advantages.
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- Fourier Descriptors and their Applications in Biology , pp. 227 - 249Publisher: Cambridge University PressPrint publication year: 1997
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