Geometrical Anatomy Index Page | ||||||||||||||||||||||||||||
Geometrical Anatomy |
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Manifesto | Links | Dr. Langers's Website | Strain Quaternion Analysis | Eye Movements | Cervical Spine | Compound Movt's | Lumbar Spine Equivalent Descriptions | Angular Momentum | Semicircular Canals |
Table of Contents [Word | PDF]
Title Page [Word | PDF]
Preface [Word | PDF]
Introduction to Quaternions and Anatomical Movements [Word | PDF]
An Intuitive Logical Formalism for the Description of Anatomical Movements [Word | PDF]
Transformation of Orientation: Revisiting Spin and Swing [Word | PDF]
Transformations of Orientation in a Universal Joint [Word | PDF]
Spinal Dynamics I: The Axio-atlanto-occipital Assemblage [Word | PDF]
Spinal Dynamics II: Lower Cervical Spine Anatomy [Word | PDF]
Spinal Dynamics III: Computing Compound Movements [Word | PDF]
Spinal Dynamics IV: Applying the Model to the Lower Cervical Spine [Word | PDF]
Spinal Dynamics V: Another Oblique Rotation [Word | PDF]
On Evolutes and Frames of Curves [Word | PDF]
Distorting the Box: Strain in Anatomical Media [Word | PDF]
Bubble Strain: The Measurement of Shear by the Distortion of Spheres [Word | PDF]
Orthogonalized Strained Boxes [Word | PDF]
Distortions in Media: Compressive and Tensile Strain [Word | PDF]
Distortions in Media: Shear Strain [Word | PDF]
Quaternion Numbers [Word | PDF]
Final Thoughts on the Control of Placement in Anatomical Systems [Word | PDF]
Upper Cervical Spine
- Brief Summaries of the Essays [ Word | PDF]
- A Model of the Upper Cervical Assembly [ Word | PDF]
- Response to Position [ Word | PDF]
- Response to Differences in Technique [ Word | PDF]
- Waveform Analysis [ Word | PDF]
- Vertebral Artery Strain [ Word | PDF]
- Flow in a Strained Vertebral Artery [ Word | PDF]
- Why Sideflexion? The Role of the Alar Ligament [ Word | PDF]
Lower Cervical Spine
Analysis of Strain [ Word | PDF]
Compression Between Parallel Plates [ Word | PDF]
Point and Linear Depressions [ Word | PDF]
The Diagonal Vector [ Word | PDF]
Properties of a Distorted Box [ Word | PDF]
Extension and Orientation Strain [ Word | PDF]
Determining the Ellipse That Fits Three Vectors [ Word | PDF]
Shear [ Word | PDF]
Shear Displacement Between Parallel Plates [ Word | PDF]
Finding the Transformation of a Cubic Box: the orientation of strained boxes [ Word | PDF]
Torsional Strain [ Word | PDF]
Strained Boxes and Products of Three Vectors [ Word | PDF]
Constructing Equivalent Descriptions of a Rotation [ Word | PDF]
Parsing Movement Descriptions: Equivalent Movements [ Word | PDF]
Anatomical Descriptions That Compute Functional Attributes [ Word | PDF]
Compound Movements in Multi-joint Systems [ Word | PDF]
The Anatomical Geometry of Muscles Sets [ Word | PDF]
Muscle Set Surfaces as a Function of Joint Anatomy [ Word | PDF]
Snakes, Swan’s Necks, and Puppy Dog Tails [ Word | PDF]
How Ligaments Restrict Movement [ Word | PDF]
Quaternion Analysis of Momenta and Forces Acting Upon a Rigid Body [ Word | PDF]
The Functional Anatomy of the Semicircular Canals in Man [ Word | PDF]
Movements of a Circular Canal [ Word | PDF]