Visualization: new concepts and techniques to integrate diverse application areas

Visualization models are diverse as a natural reflection of the diversity of the highly growing application areas of visualization. This is a piece of work trying to integrate them into a small set of handy models based on a few crisp concepts. As one of such concepts, we take the Reeb graph and show how to build an integrated visualization model named ModelVisual serving to integrate the diversity. ModelVisual is an abstraction hierarchy of incrementally modular data structure which includes the topological, geometrical and other layers and the operators working on the layers to recognize, view and display them. The self-visualizing visualization model is provided for implementing ModelVisual. The application models integrated are: the homotopy model which again integrates the triangulation model, the spline surface model and the loft surface model; the singularity model applied to garment wrinkling; the tree model applied to forest growth. The implication of the integrated visualization model to the visual computer architecture through information localization is also clarified.

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