计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2014年
6期
139-143
,共5页
图像分割%径向基函数%偏微分方程%发展方程%水平集
圖像分割%徑嚮基函數%偏微分方程%髮展方程%水平集
도상분할%경향기함수%편미분방정%발전방정%수평집
image segmentation%radial basis function%partial differential equation%evolution equation%level set
将全局正定径向基函数和图像分割中基于偏微分方程水平集方法的发展方程相结合，提出了一种基于全局正定径向基函数的图像分割算法。用全局正定径向基函数插值发展方程中的水平集函数，得到的插值函数具有较高的精度和光滑性，克服了传统水平集方法中复杂费时的重新初始化过程和水平集对初始轮廓位置敏感等缺点，非线性发展方程最终被转化成常微分方程组并用Euler法求解。实验结果表明该算法不需要重新初始化过程，并且在没有初始轮廓时也能够快速正确地分割图像。
將全跼正定徑嚮基函數和圖像分割中基于偏微分方程水平集方法的髮展方程相結閤，提齣瞭一種基于全跼正定徑嚮基函數的圖像分割算法。用全跼正定徑嚮基函數插值髮展方程中的水平集函數，得到的插值函數具有較高的精度和光滑性，剋服瞭傳統水平集方法中複雜費時的重新初始化過程和水平集對初始輪廓位置敏感等缺點，非線性髮展方程最終被轉化成常微分方程組併用Euler法求解。實驗結果錶明該算法不需要重新初始化過程，併且在沒有初始輪廓時也能夠快速正確地分割圖像。
장전국정정경향기함수화도상분할중기우편미분방정수평집방법적발전방정상결합，제출료일충기우전국정정경향기함수적도상분할산법。용전국정정경향기함수삽치발전방정중적수평집함수，득도적삽치함수구유교고적정도화광활성，극복료전통수평집방법중복잡비시적중신초시화과정화수평집대초시륜곽위치민감등결점，비선성발전방정최종피전화성상미분방정조병용Euler법구해。실험결과표명해산법불수요중신초시화과정，병차재몰유초시륜곽시야능구쾌속정학지분할도상。
A numerical algorithm based on globally supported and positive definite radial basis functions is developed in this paper to solve evolution equations which arise in image segmentation using partial differential equation based level set methods. In this algorithm, radial basis functions are used to interpolate level set functions with a high level of precision and smoothness, and then the nonlinear evolution equation is cast into ordinary differential equations and Euler’s scheme is used. Compared with conventional level set methods, this algorithm is free from the initial contour, and completely eliminates the need of the complex and costly re-initialization procedure. Experimental results indicate that the presented algorithm is free of re-initialization, and can segment images quickly even without any initial contour.
