创造过程的数学模型及其在绘图软件中的应用

本文从心理学出发，对新材料设计、文艺创作等创造过程作了分析，得出创造过程是由材料收集、组合、考察和选择构成。原则上，创造过程可以化为组合优化等数学问题。本文据此建立了创造过程的数学模型。作为一个例子，本文给出了一个可用于美术创作的具体算法。结合机器学习，该算法能根据操作者的审美观将粗略的草图逐渐变得完美，因此，只要有足够好的审美目光，就可以得到足够好的画面。本文提出的创造过程机制也可解释人的其他思维过程、生命的起源和进化等熵减过程

The Mathematics Model of Creative Process and its Application in Draw Software

Start from psychology, this paper analyzes some creative processes such as the design of new materials and the literary and artistic creation.It is concluded that the creative process contains the collection, the combination of the creative materials and the examination and the selection of the result of the combination.In principle creative process can be treated by combination mathematics. The mathematics model of creative process was therefore constructed. A creative algorithm for fine arts was given as an example which can make any drawn picture become to be more beautiful. The mechanism of creative process suggested in this paper can also satisfactory explain the creative process in nature such as the origin and evolution of life and other process during which the entropy decreases such as the production of inspiration, the production and the development of society, the forming of scientific hypotheses.