Abstract

Traditionally the problem of morphing between two geometric object is formulated as a problem of finding a suitable path between the simplces (edges and vertices) of the initial and the final geometry. The major problem in this approach is to find a suitable relation between the simplices of two geometric entity. By suitable relation it is referred to the fact which edge or which vertices of the initial geometry will be mapped to which edge or vertices of the final geometry. An unwanted mapping results an wanted morphing.  With out the intervention of the user finding this relation  is a topic of research for a long time and researchers are yet to come out with an unified approach. With the advances in the field of implicit representation of geometry efforts have been imparted to use implicit representation geometry for morphing. In this approach  the initial and the final geometry is represented by a function f(x,y,z)=0 and the intermediate shapes in between these two functions are calculated by defining a suitable interpolation function. Unlike the traditional vertices and the edge based approach, in implicit representation based approach it is not required to find relations between edges and vertices of initial and the final geometry. However the problem in this approach is to find a suitable blending function. This present effort will be directed to develop a system which uses implicit representation for morphing and to evaluate the advantage of the approach.
 

Time Table: [coming soon]