Geometrical Anatomy Index Page
Geometrical Anatomy

Quaternion
Analysis

theoretical
papers

Eye
Movements

the description of
eye movements
and muscle pulls

Atlanto-Axial Joint

movements of
the atlanto-axial joint
and implications for
vertebral artery flow

Quaternions and Anatomical Movements

A book that summarizes this work

Compound
Movements

 

Movement in multijointed systems

Equivalent Descriptions of Movements

Conversion between descriptions of complex rotations

Angular Momentum

An analysis of angular momentum in terms of quaternions

Anatomy and Function of Semicircular Canals

Consideration of the implications of the anatomy of the semicircular canals

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Quaternions and Anatomical Movements
{A book that introduces the basic concepts with applications}

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]

Quaternion Analysis: papers primarily concerned with theory

Eye Movements

Cervical Spine

Upper Cervical Spine

Lower Cervical Spine

Description of Strain

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]

Equivalent Descriptions of Movements

Constructing Equivalent Descriptions of a Rotation   [ Word | PDF]
Parsing Movement Descriptions: Equivalent Movements   [ Word | PDF]

Compound Movements

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]

Angular Momentum

Quaternion Analysis of Momenta and Forces Acting Upon a Rigid Body   [ Word | PDF]

Anatomy and Function of the Semicircular Canals

The Functional Anatomy of the Semicircular Canals in Man   [ Word | PDF]
Movements of a Circular Canal   [ Word | PDF]

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