Table of Contents
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Preface
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Introduction to Quaternions and Anatomical Movements
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An Intuitive Logical Formalism for the Description of Anatomical Movements
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Transformation of Orientation: Revisiting Spin and Swing
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Examination of Transformations of Orientation in a Universal Joint
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Spinal Dynamics I: The Axio-atlanto-occipital Assemblage
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Spinal Dynamics II: Lower Cervical Spine Anatomy
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Spinal Dynamics III: Computing Compound Movements
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Spinal Dynamics IV: Applying the Model to the Lower Cervical Spine
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Spinal Dynamics V: Another Oblique Rotation
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On Evolutes and Frames of Curves
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Distorting the Box: Strain in Anatomical Media
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Bubble Strain: The Measurement of Shear by the Distortion of Spheres
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Orthogonalized Strained Boxes
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Distortion in Media: Compressive and Tensile Strain
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Distortion in Media: Shear Strain
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Quaternion Numbers
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Final Thoughts on the Control of Placement in Anatomical Systems
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