In this paper, we analyze involutes of pseudo-null curves in Lorentz–Minkowski 3-space. Pseudo-null are spacelike with null principal normals, and their can be defined analogously as for the Euclidean curves, but they exhibit properties that cannot occur space. The first result paper is more precisely, straight lines. Furthermore, a method reconstruction curve from given line its involute provi...

A framework for the representation of qualitative distances is developed inspired by previous work on qualitative orientation. It is based on the concept of \distance systems" consisting of a list of distance relations and a set of structure relations that describe how the distance relations in turn relate to each other. The framework is characterized by making the role of the \frame of referen...

The aim of this paper is to propose a new way of describing three dimensional shape. The shapes to be described are non rigid shapes, like those of animal cells, which have no well defined shape. The shape descriptors are based upon Ley ton's symmetry axis descriptionfor smooth contours. Like Ley ton's contour description, a process grammar is proposed to allow the description of the change of ...

This paper provides a new perspective to the problem of reconfiguration of a rolling sphere. It is shown that the motion of a rolling sphere can be characterized by evoluteinvolute geometry. This characterization, which is a manifestation of our specific selection of Euler angle coordinates and choice of angular velocities in a rotating coordinate frame, allows us to recast the three-dimensiona...