THREE-DIMENSIONAL
POLYGON-MESH MORPHOLOGY
By
Thomas V. Thompson II
ABSTRACT
Methods for transforming, or morphing, one image into
another have gained in popularity over the past decade. One
need only turn on the television set to see this in everything
from commercials to music videos. Most of the current
commercial work is done using two-dimensional (2D) techniques.
Currently needed is method for extending these two-dimensional
techniques into three-dimensions (3D). There are many
advantages to performing the shape transformation in 3D. One
major advantage is the ability to animate the object
independently of the transformation. With this added ability
one can view the shape transformation from any angle, this is
not possible with 2D image transformation. This paper
presents a method for computing such 3D transformations. The
algorithm uses 3D polygon meshes made up entirely of triangles.
Given two polygon mesh models,the algorithm projects them onto
a unit sphere and then merges their topological structures.
Through the merger, the algorithm produces a new polygon mesh
that contains all of the structure of the original two.
Transformation can now be performed between the two objects by
interpolating between corresponding vertices. Since this
algorithm uses the topological and geometric data of both
objects, the resulting shape transformation exhibits less
distortion than other algorithms.
RESULTS
Sample Morph Mpeg