| Description |
1 online resource (x, 478 pages) : illustrations |
| Series |
Elsevier science & technology books |
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Elsevier science & technology books
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| Contents |
Front Cover; Geometric Morphometrics for Biologists: A Primer; Copyright Page; Contents; Contributors; Preface; 1. Introduction; A Critical Overview of Measurement Theory; Shape and Size; Shape; Size; Methods of Data Analysis; Biological and Statistical Hypotheses; Organization of the Book; Software and Other Resources; References; 1. Basics of Shape Data; 2. Landmarks and Semilandmarks; Criteria for Choosing Landmarks; Homology; Adequate Coverage of the Form; Repeatability; Consistency of Relative Position; Coplanarity of Landmarks; Bookstein's Typology of Landmarks |
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Examples: Applying Ideals to Actual CasesLandmarks on the Lateral Surface of the Squirrel Scapula; Landmarks on the External Body of Piranhas; Landmarks on the Skull of Sigmodon fulviventer and Mus musculus domesticus; Three-Dimensional Landmarks on a Marmot Skull; Landmarks on a Squirrel Mandible; Designing Your Own Measurement Scheme; References; 3. Simple Size and Shape Variables: Shape Coordinates; Shape Coordinates; Comparing Shapes of Two Triangles; Comparing Many Individual Triangles; Multiple Triangles on Each Individual; Choosing the Baseline; Size |
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Bookstein Shape Coordinates in Three DimensionsStatistics of Shape Coordinates; Procrustes Superimposition; Procrustes Superimposition in Three-Dimensions; Semilandmark Sliding; Resistant-Fit Superimposition; Interpreting the Graphical Results; References; 4. Theory of Shape; The Definition of Shape; Morphometric Spaces; The Configuration Matrix; Configuration Space; Position or Location of a Configuration Matrix; Size of a Configuration Matrix; Pre-Shape Space; The Shape of Pre-Shape Space; Fibers in Pre-Shape Space; Shape Spaces |
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Finding the Angle of Rotation That Minimizes the Euclidean Distance Between Two ShapesThe Spaces of Three-Dimensional Configurations; A Numerical Example For the Simplest Case; Tangent Spaces; Selecting the Reference Configuration; Dimensions and Degrees of Freedom; Summary; References; 5. The Thin-plate Spline: Visualizing Shape Change as a Deformation; Modeling Shape Change as a Deformation; The Physical Metaphor; Uniform and Non-Uniform Components of a Deformation; Uniform (Affine) Components; Decomposing the Non-Uniform (Non-Affine) Component; An Intuitive Introduction to Partial Warps |
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An Algebraic Introduction to Partial WarpsDecomposing the Deformation of Three-Dimensional Data; Using the Thin-Plate Spline to Visualize Shape Change; Interpreting Changes Depicted by the Thin-Plate Spline; Using Bending Energy to Superimpose Semilandmarks; Appendix; Calculating the Shear and Compression/Dilation Terms; Conceptual Framework; Mathematical Derivations; Further Derivation of the Uniform Components; Calculating Uniform Components Based on Other Superimpositions; References; 2. Analyzing Shape Variables; 6. Ordination Methods; Principal Components Analysis |
| Summary |
The first edition of Geometric Morphometrics for Biologists has been the primary resource for teaching modern geometric methods of shape analysis to biologists who have a stronger background in biology than in multivariate statistics and matrix algebra. These geometric methods are appealing to biologists who approach the study of shape from a variety of perspectives, from clinical to evolutionary, because they incorporate the geometry of organisms throughout the data analysis. The second edition of this book retains the emphasis on accessible explanations, and the copious illustrations and examples of the first, updating the treatment of both theory and practice. The second edition represents the current state-of-the-art and adds new examples and summarizes recent literature, as well as provides an overview of new software and step-by-step guidance through details of carrying out the analyses. Contains updated coverage of methods, especially for sampling complex curves and 3D forms and a new chapter on applications of geometric morphometrics to forensics. Offers a reorganization of chapters to streamline learning basic concepts. Presents detailed instructions for conducting analyses with freely available, easy to use software Provides numerous illustrations, including graphical presentations of important theoretical concepts and demonstrations of alternative approaches to presenting results |
| Analysis |
morfometrie |
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morphometrics |
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morfologie |
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morphology |
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meetkunde |
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geometry |
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biologie |
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biology |
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wiskunde |
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mathematics |
|
vorm |
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shape |
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grootte |
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size |
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afmetingen |
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dimensions |
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studieboeken |
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textbooks |
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Biology (General) |
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Biologie (algemeen) |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
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Print version record |
| Subject |
Morphology -- Statistical methods
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Morphology -- Mathematics
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Biology -- Classification -- Statistical methods
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SCIENCE -- Life Sciences -- Anatomy & Physiology.
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Biology
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Morphology -- Mathematics
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Morphology -- Statistical methods
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| Form |
Electronic book
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| Author |
Swiderski, Donald L., author.
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Sheets, H. David, author.
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| LC no. |
2013409104 |
| ISBN |
9780123869036 |
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012386903X |
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9780123869036 |
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012386903X |
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9780123869043 |
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0123869048 |
|
1283717123 |
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9781283717120 |
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