Van Herk has shown that the erosion/dilation operator with a linear structuring element of an arbitrary length can be implemented in only 3 min/max operations per pixel. In this paper, the algorithm is generalized to erosions and dilations along discrete lines at arbitrary angles. We also address the padding problem; so that the operation can be performed in place without copying the pixels to ...

This paper develops an efficient and effective dilation-based clustering algorithm (DBCA) for Anti-Reflection (AR) glass defect detection using run-length encoding (RLE). The fundamental concept of dilation-based connectivity and its limitation are described in the beginning. Subsequently, the architecture of DBCA is constructed in the following procedures: (1) run-length encoding, (2) RLE-base...

A study is made to detect human eye from a color face image (in RGB space) using Harris corner detector and Sobel edge operator. Morphological operation like dilation and erosion are also applied to make the edge of the eyes sharp and prominent. This study is found to yield 90.47% eye detection rate which is comparable with the same obtained by other standard algorithm. Keywords-RGB color image...

Anisotropic frame systems such as shearlets and curvelets have had a profound impact on applied mathematics in the last decade, the main reason being their superior ability to optimally resolve anisotropic structures such as edges in images. By now there exists a whole zoo of such constructions among which we mention second generation curvelets, bandlimited shearlets and compactly supported she...

Consider the congruence class Rm(a) = {a + im : i ∈ Z} and the infinite arithmetic progression Pm(a) = {a+im : i ∈ N0}. For positive integers a, b, c, d,m the sum of products set Rm(a)Rm(b)+Rm(c)Rm(d) consists of all integers of the form (a+im)(b+jm)+(c+km)(d+lm) for some i, j, k, l ∈ Z}. It is proved that if gcd(a, b, c, d,m) = 1, then Rm(a)Rm(b) + Rm(c)Rm(d) is equal to the congruence class R...

In this paper, we shall discuss how to construct multidimensional biorthogonal wavelets by employing a coset by coset (CBC) algorithm. We shall construct biorthogonal wavelets on the hexagonal lattice by CBC algorithm. In particular, we shall propose a CBC algorithm to construct inter-polatory biorthogonal wavelets which are derived from pairs of fundamental reenable functions. More precisely, ...

The use of catheters to dilate vascular obstructions began as early as 1964. In their classic article, Dotter and Judkins (1) described transluminal dilation of arteriosclerotic obstruction. It wasn’t until 10 years later that the use of balloontipped catheters in coronary artery dilations was reported by Gruentzig and Hopff (2) and later applied by Gruentzig and his colleagues (3). Since these...

BACKGROUND Neo-aortic root dilation (ARD) and neo-aortic regurgitation (AR) may be progressive after arterial switch operation (ASO) for d-loop transposition of the great arteries (dTGA). We sought to identify predictors of ARD and AR after ASO. METHODS AND RESULTS 335 patients were identified who underwent ASO for dTGA with intact ventricular septum or ventricular septal defect (VSD), includ...

In this paper we investigate data structures obtained by a recursive partitioning of the multidimensional input domain into regions of equal size. One of the best known examples of such a structure is the quadtree. It is used here as a basis for more complex data structures. We also provide multidimensional versions of the stratified tree by van Emde Boas [vEB]. We show that under the assumptio...