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    This research introduces a new data structure for vector graphics, the vector graphics complex, to overcome limitations in current tools. This innovation enables advanced topological modeling and animation for digital images.

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    Area of Science:

    • Computer Graphics
    • Computational Geometry
    • Digital Imaging

    Background:

    • Vector graphics are essential for resolution-independent digital images, supporting interactivity and animation.
    • Current vector graphics tools have limitations, particularly in representing shapes with shared edges.
    • There is a need for advanced data structures to support complex topological operations in vector graphics.

    Purpose of the Study:

    • To develop a novel data structure for vector graphics that addresses limitations in representing topological relationships.
    • To extend this data structure to support animation and time-varying topological changes.
    • To enable intuitive editing of vector graphics in both space and time.

    Main Methods:

    • Development of the vector graphics complex, a novel data structure.
    • Extension of the vector graphics complex to incorporate animation via keyframes.
    • Implementation of fundamental topological modeling operations.

    Main Results:

    • The vector graphics complex effectively supports topological modeling operations for vector graphics.
    • The extended data structure enables dynamic changes in vector graphics features over time.
    • The approach allows for intuitive, time-varying editing of digital illustrations.

    Conclusions:

    • The vector graphics complex provides a robust solution for topological modeling in vector graphics.
    • This work advances the capabilities of vector graphics tools, particularly for animation and complex illustrations.
    • The developed structure facilitates user intent reflection in the editing process for both static and animated vector graphics.