| 1. | The operator in parentheses in (3. 54) is called the laplacian operator .
在（354）的括号里的算符叫做拉普拉斯算符。 |
| 2. | The operator in parentheses in ( 3 . 54 ) is called the laplacian operator
在（ 3 54 ）的括号里的算符叫做拉普拉斯算符。 |
| 3. | The existence of countably many positive solutions for one - dimensional p - laplacian operator
算子型奇异边值问题可数多正解的存在性 |
| 4. | Existence of monotone positive solutions to a type of three - point boundary value problem with p - laplacian operator
算子方程三点边值问题单调正解的存在性 |
| 5. | Existence of three positive solutions in a multi - points boundary value problem of p - laplacian operator with first - order derivative
算子多点边值问题三个正解的存在性 |
| 6. | The techniques of smoothing , feature enhancing and optimization of triangle facet ' s shape are investigated systematically in this paper . based on modification of laplacian operator and mean curvature technique , an adaptive regularizing and smoothing mesh algorithm is put forward
作者在研究消化所能收集到的国内外相关资料的基础上，对三角网格模型的外形光顺、特征修复和三角片优化等技术进行了深入研究。 |
| 7. | It begins form the discussion the knowledge of the gaussian filter and the laplacian operator , which are the base of the marr method . and it is followed by the detail discussion of such as : the 2g （ laplacian of gaussian ) filter , the template log ( laplacian of gaussian ) , the meaning of laplacian of gaussian in human vision , edge detection and neurophysiology . with different template to different size of target , the small target can be separated from the background by this small infrared target detection method
从marr算法的理论基础? ?高斯平滑滤波器与拉普拉斯算子的相关知识以及Ｍ ａ ｒ ｒ的计算视觉理论基础开始，进行了2g ( laplacianofgaussian ，高斯?拉普拉斯)滤波器、 log ( laplacianofgaussian ，高斯?拉普拉斯)模板以及2g滤波器在人类视觉、边缘检测、边缘处理的物理意义以及神经生理学意义方面的分析讨论,提出了易于fpga ( fieldprogrammablegatearray ，现场可编程门阵列）实现的基于marr计算视觉的红外图像小目标检测方法。 |
| 8. | There are many methods of edge detection . according to practical task , we choose some classical methods of edge detection including first differential ( roberts operator , sobel operator and prewitt operator ) , second differential ( laplacian operator and kirsch operator ) , log filter and canny operator . they are studied in theory and practice applying
边缘检测有很多方法，根据课题实际背景，选择了几种比较经典的边缘检测方法，即一阶算子( roberts算子、 sobel算子、 prewitt算子) 、二阶算子( laplacian算子和kirsch算子) 、 log算子和canny算子，对他们进行理论和实际应用研究。 |
| 9. | Some conventional detection operators are analysed in detail , such as roberts operator , sobel operator and laplacian operator , and also apply this operators to the arc image to test their detection results . but these conventional detection operators have a common shortcoming : they are too simple
主要的研究工作包括以下几个方面：对一些传统的边缘检测算子，如： roberts算子、 sobel算子、拉普拉斯算子等等进行了原理分析，并将这些算子应用于电弧图像，测试其边缘检测的效果。 |
