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 論文的主要工作包括:系統(tǒng)地提出了過渡狀態(tài)的特征刻畫模型,概括了過渡狀態(tài)的模糊性、隨機性以及分形性與混沌性等主要特性,結合模糊數(shù)學理論、隨機過程理論以及分形理論與混沌理論等,以過渡率、過渡集合等作為特征刻畫模型的主要內容,以過渡映射作為特征刻畫的形成過程,有效地描述了過渡特征的漸變過程,為可視化方法與應用的具體實現(xiàn)奠定了理論基礎。
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 提出了面向過渡狀態(tài)交互運算的圖形化實現(xiàn)方法,通過圖形參量與物性參量、圖形參量與特征參量等關聯(lián)的建立,以過渡率特征的圖形化獲取技術與合成技術分別取代過渡率特征運算與合成運算,利用可視化手段有效地避免了過渡狀態(tài)信息描述、提取與綜合過程中各類復雜繁瑣的非線性數(shù)值運算。
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 本文回顧了科學計算可視化的研究歷史與現(xiàn)狀,系統(tǒng)分析了過渡狀態(tài)的存在性與重要性,概括了過渡狀態(tài)的主要特征,從可視化的手段、可視化的交互過程與可視化的結果等多個角度入手,形成了過渡狀態(tài)可視化理論、方法及其應用的完整體系,利用圖形的直觀性、形象性和可操作性等優(yōu)點有力地推動了過渡狀態(tài)信息傳遞、分析與綜合等研究的繼續(xù)深入。