Building and moving surfaces with quaternions
by
Catalina Ibañez
Universidad Autónoma Metropolitana (Iztapalapa), División de Ciencias Básicas e Ingenieriá, Departamento de Ingenieria Eléctrica, México

Surfaces may be defined by a set of four quaternions, be as a Steiner surface or as a bilinear tensorial Bezier surface. In both cases we may use control points and control quaternions to define the surface that gives us the power to change the shape of the surface, moving be the control points or the control quaternions. That movement is also represented with quaternions that applied to the quaternionic function that defines the surface gives us a moving surface. When we represent the surfaces of internal organs,we have pictures of the organ or its surface (from tomography, x rays or other means) and by the other hand we have noises or electrical signals related to the movements, what we intend to do is to animate the surface using such signals by representing them as quaternions.

Date received: August 9, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahz-87.