Hybrid Animation Model of Multi-object in Fractal Form based on Metamorphic Interpolation and Partitioned-Random Iteration Algorithms

Abstract

Traditionally simple object is drawn to the screen by drawing functions in pixels, so the slight different form of object should be redrawn by different function. On the other hand, naturally fractal object is drawn by a single algorithm through drawing pixels at the position according to the code of fractal such as IFS code, and interactively to change the form of or to animate the fractal object is accomplished simply by changing the code of fractal at any time. So in this case, animation model of objects in fractal form has an advantage over animation model of objects in traditional form. IFS code is one way of the inverse problem representation of object in fractal form. The IFS fractal objects can be reconstructed by random iteration algorithm and the multi-object of fractal can be reconstructed by partitioned-random iteration algorithm from the IFS code sets. To have the metamorphic animation, the interpolation between the IFS code of source and target objects can be done by a metamorphic animation algorithm. The hybrid animation model is the combination model of a metamorphic animation on one type of object and the multi-object animation independently with or without synchronized mode based on the metamorphic interpolation of IFS code coefficients for the metamorphic animation and the partitioned-random iteration algorithm for the multiobject animation.

Untitled

“…There are two major animation methods, either the non-metamorphical or the metamorphical animation method which can be applied to fractal objects or multi-objects [13]. In this paper animation discussion is limited to the rotational animation in hybrid of both types of animation method [12] and in general an animation frame-work can be modelled as the general solution of fractal animation model including both types of animation method. June 2015…”

“…Each fractal object construction is build based on each partitioned-random numbers. So the modified algorithm is called as the partitioned-random iteration algorithm [12]. The range of partitioned random numbers is set relatively based on the size area of each object relative to the size of multi-object as a whole area.…”

Generic Animation Method for Multi-Objects in IFS Fractal Form

“…Basically, a fractal multi-object is a collection of fractal objects generated independently by means of a modified version of the random iteration algorithm. The algorithm is supported by random numbers that are partitioned, so the algorithm is called the partitioned-random iteration algorithm [8].…”