The Principal Axes of Stellar Motion

The Principal Axes Method for Constructive Induction

The principal axes transformation--a method for image registration.

We have developed a computational technique suitable for registration of sets of image data covering the whole brain volume which are translated and rotated with respect to one another. The same computational method may be used to register pairs of tomographic brain images which are rotated and translated in the transverse section plane. The technique is based on the classical theory of rigid b...

Extension of Euler's Principal Axes to Articulated Inertia

An e®ective inertia of a serially jointed chain of bodies, such as a robotic arm, is often referred to as the articulated or operational space inertia. Six principal axes and six principal values of inertia are proposed to decouple articulated inertia into geometric and constitutive properties respectively. In the case of a single rigid body, these concepts naturally coincide with familiar desc...

Reorienting in Virtual 3D Environments: Do Adult Humans Use Principal Axes, Medial Axes or Local Geometry?

Studies have shown that animals, including humans, use the geometric properties of environments to orient. It has been proposed that orientation is accomplished primarily by encoding the principal axes (i.e., global geometry) of an environment. However, recent research has shown that animals use local information such as wall length and corner angles as well as local shape parameters (i.e., med...

A New Workspace For Principal Axes And Scaling Estimation

A novel algorithm for 2D object orientation and scaling factor estimation, is proposed in this paper. The proposed method is accurate, effective, computationally efficient and fullyautomated. The object orientation is calculated by using object principal axes estimation. The main contribution of the proposed approach is the utilization of a 2D empirical mode like decomposition (EMD-like) as a n...