CAJ | 학술논문

水平集方法是偏微分图像分析的一个重要的数值方法,其最大的问题是计算量大,速度缓慢,特别是需要频繁的初始化.针对这个问题进行深入研究,提出了基于数学形态学的水平集初始化方法.形态学方法分为平滑和重建两个步骤,利用基本的开、闭和膨胀运算来分别平滑数值不精确的距离函数和重建窄带.新的方法不仅具有很高的效率,而且可以适应各种拓扑变化,完全可以替代常规方法,运用于数字图像的实时处理中.
수평집방법시편미분도상분석적일개중요적수치방법,기최대적문제시계산량대,속도완만,특별시수요빈번적초시화.침대저개문제진행심입연구,제출료기우수학형태학적수평집초시화방법.형태학방법분위평활화중건량개보취,이용기본적개、폐화팽창운산래분별평활수치불정학적거리함수화중건착대.신적방법불부구유흔고적효솔,이차가이괄응각충탁복변화,완전가이체대상규방법,운용우수자도상적실시처리중.
Level set method is an important numerical scheme to PDE image analysis,while the most serious problem is that level set is accompanied with high computation cost,slow speed,and especially frequent re-initialization.The paper carefullv researches the disadvantages and presents a new initialization method based on mathematical morphology.The new method includes two schemes.i.e.smoothing scheme and reconstruction scheme,which perform two operations of smoothing inaccurate distance function and rebuilding narrow band separately using open,close and expansion operations.The proposed method is not only of high efficiency,but also can deal with the topology variations adaptively.This method can replace the conventional methods successfully and can also be applied in the real-time image processing.