The Geometry of the Zeros of a Polynomial in a complex variable. By M. Marden. Pp. ix, 183. $5. 1949. Mathematical Surveys, 3. (American Mathematical Society)

An anatomy-based coordinate system for the description of the kinematic displacements in the human knee

A homogeneous matrix approach to 3D kinematics and dynamics — I. Theory

A computational analysis and a comparison of line-oriented representations of general (ie rotational and translational) spatial displacements of rigid bodies are presented Four mathematical formalisms for effecting a general spatial screw displacement are discussed and analyzed in terms of computational efficiency in performing common operations needed in kinematic analysis of multilinked spatial mechanisms The corresponding algorithms are analyzed in terms of both sequential and parallel execution It is concluded that the dual-unit quaternion representation offers the most compact and most efficient screw transformation formalism but that line-oriented methods in general are not well suited for efficient kinematic computations or real-time control applications Owing to line-based geometry, underlying its definition, screw calculus represents a set of valuable tools in theoretical kinematics However, the mathematical redundancy inherent in Plucker coordinate space representation makes the screw calculus computationally less attractive than the corresponding point-oriented formalisms >

A computational analysis of screw transformations in robotics

Kineto-elastodynamics - A review of the state of the art and trends

On the use of dual numbers, vectors and matrices in instantaneous, spatial kinematics

Some remarks on higher curvature theory

On the lines in space with equal distances to n given points

The Isoperimetric Point and the Point(S) of Equal Detour in a Triangle

Acceleration Axes and Acceleration Distribution in Spatial Motion

GR Geert Veldkamp

Papers

On the use of dual numbers, vectors and matrices in instantaneous, spatial kinematics

Some remarks on higher curvature theory

On the lines in space with equal distances to n given points

The Isoperimetric Point and the Point(S) of Equal Detour in a Triangle

Acceleration Axes and Acceleration Distribution in Spatial Motion