摘要
传统曲线分形插值存在地理弯曲特征约束少、在分形过程中容易失去控制的问题,为此提出了曲线信息隐藏特征约束可控分形插值算法。分析并提取曲线中的信息隐藏特征,并以此作为分形插值算法的运行约束条件,从而设置约束控制参数。在约束控制条件下,计算曲线分形插值点的基值,并确定插值的次数和维数,并结合仿射变换原理实现曲线的可控分形插值。通过与传统插值算法的对比发现,设计插值算法得出的结果更加接近实际结果,能够最大程度地保留曲线的弯曲特征和分形特征。
The traditional curve fractal interpolation has some defects, such as less constraint of geographic curve feature and easy to lose control in fractal process. Based on this point, this paper designed a controllable fractal interpolation algorithm based on curve information hiding feature constraints. Firstly, the hidden features of the information in the curve were analyzed and extracted as the operation constraints of the fractal interpolation algorithm to set the constraint control parameters. Secondly, under the condition of constraint control, the base value of curve fractal interpolation points was calculated to determine the degree and dimension of interpolation. Finally, the affine transformation principle was introduced to achieve the controllable fractal interpolation of curves. The results show that this algorithm is superior to the traditional algorithm, and the results are closer to the actual results, retaining the curve bending and fractal characteristics.
作者
陶雪娇
阚洪
张晓颖
王越
TAO Xue-jiao;KAN Hong;ZHANG Xiao-ying;WANG Yue(School of Software,Chongqing Institute of Engeneering,Chongqing 400056,China;Chongqing University of Technology,Chongqing 400054,China)
出处
《计算机仿真》
北大核心
2021年第7期276-280,共5页
Computer Simulation
基金
重庆市自然科学基金面上项目(cstc2020jcyj-msxmX1033)
重庆市教委科学技术研究计划项目(KJQN202001905)
重庆市教委科学技术研究计划重大项目(KJZD-K201801901)。
关键词
曲线信息
隐藏特征
特征约束
可控分形插值
Curve information
Hidden feature
Feature constraint
Controllable fractal interpolation
作者简介
陶雪娇(1984-),女(汉族),重庆垫江人,硕士,副教授,研究方向:信息隐藏与分形;阚洪(1984-),女(汉族),重庆铜梁人,硕士,副教授,研究方向:人工智能与信息检索;张晓颖(1982-),女(汉族),重庆忠县人,硕士,副教授,研究方向:web前端技术、数据可视化;王越(1961-),男(汉族),北京人,博士,教授,研究方向:数据库技术及应用、数据挖掘及其应用、嵌入式系统及应用。
