Research On Theory, Method And Application Of Transitional State Visualization

The appearance and development of Scientific Visualization provide the traditional problems with such a new and exciting way as to gain understanding and insight into the data. The combination of the visualization research and transitional state research will further elaborate the advantages and superiorities of interdisciplinary research, enrich the representation of transitional information and interpret the important transfer phase into visual terms, which is necessary and beneficial for the engineers to grasp the integral tendency of the phenomenon investigated.This dissertation reviews the developing history and current situation of visualization research, systematacially analyses the existence and importance of transitional state and concludes the main transitional features. Focused on the technique, interaction and result of visualization, the system for transitional state visualization is put forward, which effectively promotes the transfer, analysis and synthesis course of transitional information with better visualizability, figurativeness and maneuverability.The main work of this dissertation is as follows:The main characteristics of transitional state, such as fuzziness, randomness, fractal and chaos, are concluded. Based on the combination of the fuzzy mathematics, stochastic process, fractal and chaotic theory, the feature description model of transitional state is put forward to make itself the foundation of following visualization methods and applications.The graphical realization methods for interactive calculation of transitional state are presented. Based on the graphical realization principle, the transitional modulus calculation and composing calculation can be replaced by the graphical obtaining operation and graphical synthesizing operation respectively. And the heavy and complicated numerical calculation can be avoided during the description, extraction and integration of the transitional information.The visual description methods for feature transformation of transitional state are presented. Taken different objectives and different applications into consideration, 3 typical physical transform modes are extracted as expanding (shrinking) transformation, discretizing (merging) transformation and spanning transformation, then the correlative graphical displaying methods are offered for dynamic visual analysis during the gradual feature evolvement.The geometric simplification method for transitional state based on the THdistance is put forward. The traditional simplification methods couldn't adapt to transitional state due to the lack of ability on transitional features. In order to keep the transitional details together with the fidelity and briefness, both the geometric attributes and transitional modulus are considered during the TH-distance-based threshold estimation, and the ring-splitting algorithm is successfully realized with the definition of the voxel-effected-field.The multiple-step method for multi-resolution expression of transitional state is put forward. Aiming at the height-field transitional state sampled from planar topology, the simplification process based on TH distance and the refining process based on appearance attribute can be separated with the help of the hierarchical qua-tree storage. As the result of successful separation of the above 2 processes, the hierarchical multi-resolution expression can be generated with real-time interactivity, in which the appearance of each resolution can be also preserved.Under the fractal application, the transitional state rendering method based on T-FBM constraint model is proposed. In this model, the transitional deformation energy is defined as the bi-association between the initial state and the transitional fractal detail, and the FBM constraint is realized by the threshold statistical estimation. Furthermore, the regional buffering control and regional harmonic control can offer more abundant and flexible control ways for the rendering of fractal transitional state.Under the chaotic applicati...