摘要
从分形插值曲线上图序列的生成入手,通过定义初始图能量的概念,给出各层的图能量表达式.应用这种定义式并且通过调和扩充算法和归纳法对分形插值曲线上图能量间的关系进行了研究,从而得到重整能量的概念,由此对插值曲线上的电路作出了解释.
Graph series on fractal interpolation curve is studied first.Based on that,expression of the graph energy at every layer is given by defining a concept of initial graph energy.Using the definition and harmonic expansion algorithm,the relationship between every layer is got inductively.Then a concept of renormalized energy is given naturely,thus there＇s an interpretation of circuits on fractal interpolation.
出处
《河北大学学报（自然科学版）》
CAS
北大核心
2011年第2期122-125,共4页
Journal of Hebei University(Natural Science Edition)
基金
国家自然科学基金资助项目(51079064/E090701)
关键词
分形插值曲线
图能量
重整能量
fractal interpolation curve
graph energy
renormalized energy
