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Produktbild: Mathematical Macroevolution in Diatom Research

Mathematical Macroevolution in Diatom Research

Aus der Reihe Diatoms: Biology and Applications

276,99 €

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

13.09.2023

Verlag

John Wiley & Sons Inc

Seitenzahl

544

Maße (L/B/H)

25,6/18,5/3,1 cm

Gewicht

1262 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-74985-1

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

13.09.2023

Verlag

John Wiley & Sons Inc

Seitenzahl

544

Maße (L/B/H)

25,6/18,5/3,1 cm

Gewicht

1262 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-119-74985-1

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: GPSR Kontakt

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  • Produktbild: Mathematical Macroevolution in Diatom Research
  • List of Figures xviii
     
    List of Tables xxx
     
    Preface xxxv
     
    Acknowledgments xxxvii
     
    Prologue -- Introductory Remarks xxxix
     
    Part I: Morphological Measurement in Macroevolutionary Distribution Analysis 1
     
    1 Diatom Bauplan, As Modified 2D Valve Face Shapes of a 3D Capped Cylinder and Valve Shape Distribution 3
     
    1.1 Introduction 3
     
    1.1.1 Analytical Valve Shape Geometry 5
     
    1.1.2 Valve Shape Constructs of Diatom Genera 8
     
    1.2 Methods: A Test of Recurrent Diatom Valve Shapes 10
     
    1.2.1 Legendre Polynomials, Hypergeometric Distribution, and Probabilities of Valve Shapes 12
     
    1.2.2 Multivariate Hypergeometric Distribution of Diatom Valve Shapes as Recurrent Forms 15
     
    1.3 Results 18
     
    1.4 Discussion 22
     
    1.4.1 Valve Shape Probability Distribution 22
     
    1.4.2 Hypergeometric Functions and Other Shape Outline Methods 22
     
    1.4.3 Application: Valve Shape Changes and Diversity during the Cenozoic 25
     
    1.4.4 Diatom Valve Shape Distribution: Other Potential Studies 25
     
    1.5 Summary and Future Research 26
     
    1.6 Appendix 26
     
    1.7 References 34
     
    2 Comparative Surface Analysis and Tracking Changes in Diatom Valve Face Morphology 39
     
    2.1 Introduction 39
     
    2.1.1 Image Matching of Surface Features 40
     
    2.1.2 Image Matching: Diatoms 41
     
    2.2 Purpose of this Study 42
     
    2.3 Background on Image and Surface Geometry 42
     
    2.3.1 The Geometry of the Digital Image and the Jacobian 42
     
    2.3.2 The Geometry of the Diatom 3D Surface Model and the Jacobian 45
     
    2.3.3 The Image Gradient and Jacobian 46
     
    2.4 Image Matching Kinematics via the Jacobian 47
     
    2.4.1 Position and Motion: The Kinematics of Image Matching 47
     
    2.4.2 Displacement and Implicit Functions 48
     
    2.4.3 Displacement and Motion: Position and Orientation 49
     
    2.4.4 Surface Feature Matching via the Jacobian 50
     
    2.4.5 The Jacobian of Whole Surface Matching 52
     
    2.5 Methods 53
     
    2.5.1 Fiducial Outcomes of Image Matching of Surface Features 53
     
    2.6 Results 54
     
    2.6.1 Surface Feature Image Matching and the Jacobian 56
     
    2.6.2 Whole Valve Images, Matching of Crest Lines and the Jacobian 60
     
    2.6.3 Image Matching of more than Two Images 65
     
    2.7 Discussion 71
     
    2.7.1 Utility of Jacobian-Based Methods and Image Matching 72
     
    2.7.2 The Image Jacobian and Rotation in A Reference Frame: Potential Application to Diatom Images 73
     
    2.7.3 Deformation and Registration of Image Surfaces: An Alternative Jacobian Calculation 75
     
    2.8 Summary and Future Research 77
     
    2.9 References 77
     
    3 Diatom Valve Morphology, Surface Gradients and Natural Classification 81
     
    3.1 Introduction 81
     
    3.2 Purposes of this Study 82
     
    3.2.1 The Genus Navicula 83
     
    3.3 Methods 84
     
    3.3.1 Naviculoid Diatom Surface Analysis 84
     
    3.3.2 Gradients of Digital Image Surfaces 84
     
    3.3.3 Histogram of Oriented Gradients and Surface Representation 89
     
    3.3.4 Application to Diatom Valve Face Digital Images 90
     
    3.3.5 Support Vector Regression and Classification 90
     
    3.3.6 Using HOG as Combination Gradient Magnitude and Direction Input Data for SVR 91
     
    3.3.7 Computational Efficiency and Cost 95
     
    3.4 Diatom Valve Surface Morphological Analysis 95
     
    3.4.1 SVR Model Fit of Naviculoid Taxa 95
     
    3.4.2 Valve Surface Morphological Classification and Regression of Naviculoid Diatoms 96
     
    3.5 Results 96
     
    3.5.1 HOG Data Analysis 96
     
    3