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Morphological Operators with Discrete Line Segments [chapter]

Pierre Soille
2000 Lecture Notes in Computer Science  
In this paper, we concentrate on structuring elements in the form of discrete line segments, including periodic lines.  ...  Discrete Line Segments Connected Line Segments Rosenfeld [19] showed that a digital arc L is a digitization of a straight line segment if and only if it satisfies the so-called chord property, i.e., the  ...  Section 4 concentrates on cascades of morphological operators with line segments.  ... 
doi:10.1007/3-540-44438-6_8 fatcat:qzxr3ixw2jbfnilnsu4vzulneu

Discrete Morphology with Line Structuring Elements [chapter]

C. L. Luengo Hendriks, L. J. van Vliet
2003 Lecture Notes in Computer Science  
Discrete morphological operations with line segments are notoriously hard to implement.  ...  That is, we are interested in obtaining a morphological operator that is invariant to rotations and translations of the image before sampling.  ...  The most simple implementation of a morphological operation with a line SE uses a Bresenham line segment as the SE.  ... 
doi:10.1007/978-3-540-45179-2_88 fatcat:4c735okm45avbhgrxl3pt5g5ka

Using line segments as structuring elements for sampling-invariant measurements

C.L. Luengo Hendriks, L.J. van Vliet
2005 IEEE Transactions on Pattern Analysis and Machine Intelligence  
In this paper, we study morphological filters with line segments as structuring elements. We present a comparison of three known and three new methods to implement these filters.  ...  We proceed to determine the optimal number of orientations to use when measuring the length of line segments with unknown orientation.  ...  It is for these operators that we study the implementation of discrete line segments here.  ... 
doi:10.1109/tpami.2005.228 pmid:16285380 fatcat:3bsbamwpxrgflppmujehduywmu

Intravascular Ultrasound Image Segmentation Using Morphological Snakes

Mrabti Mohamed Amine, Hamdi Mohamed Ali
2012 International Journal of Image Graphics and Signal Processing  
In this paper we present a new segmentation technics based on Morphological Snakes which developed by Luis Álvarez used for the first time for IVUS segmentation.  ...  Much research has been done to give better segmentation result for better diagnostics , evaluation and therapy planning.  ...  ( )( ) ( ) ( ) With SI d and IS d are discrete forms of the aloft morphological continuous line operators.  ... 
doi:10.5815/ijigsp.2012.05.07 fatcat:xaduuttcrzew7bb7cw2hscydwu

Basic Morphological Operations, Band-Limited Images and Sampling [chapter]

Cris L. Luengo Hendriks, Lucas J. van Vliet
2003 Lecture Notes in Computer Science  
We observed that the discrete operators cannot reproduce the results obtained by the continuous operators.  ...  The differences between continuous-domain and discrete-domain morphology are best shown by the dependency of the discrete morphology on sub-pixel translations and rotations of the images before digitization  ...  This causes the result of a discrete morphological operation to produce a better approximation to the sampled version of the corresponding continuous operation.  ... 
doi:10.1007/3-540-44935-3_22 fatcat:ak6pvs3skjdp5gzgjpmmsszdni

A Hybrid Morphological Active Contour for Natural Images

Victoria L. Fox, Mariofana Milanova, Salim Al-Ali
2013 International Journal of Computer Science Engineering and Applications  
In this paper, a morphological active contour which mimics the energy minimization of the popular Chan-Vese Active Contour without Edges is coupled with a morphological edge-driven segmentation term to  ...  Morphological active contours for image segmentation have become popular due to their low computational complexity coupled with their accurate approximation of the partial differential equations involved  ...  Additionally, the authors would like to thank the contributors to the Weizmann Segmentation Evaluation Dataset for the public use of their images and ground-truth segmentations.  ... 
doi:10.5121/ijcsea.2013.3401 fatcat:5lfihhmw6naq5hu5nfjgnhg4tq

Zonohedral Approximation of Spherical Structuring Element for Volumetric Morphology [chapter]

Patrick M. Jensen, Camilla H. Trinderup, Anders B. Dahl, Vedrana A. Dahl
2019 Lecture Notes in Computer Science  
Since zonohedra can be created via successive dilations/erosions of line segments, this allows morphological operations to be performed in constant time per voxel.  ...  Results are compared with other image analysis frameworks demonstrating constant run time and significant performance gains.  ...  This was improved [7] and generalized to operations with discrete lines at arbitrary angles [16] .  ... 
doi:10.1007/978-3-030-20205-7_11 fatcat:pdoffjc2nfbqxc2nvsu35tmd2i

AReal Time Morphological Snakes Algorithm

Luis Alvarez, Luis Baumela, Pablo Márquez-Neila, Pedro Henríquez
2012 Image Processing On Line  
First, we observe that the differential operators used in the standard PDE snake models can be approached using morphological operations.  ...  By combining the morphological operators associated to the PDE components we achieve a new morphological approach to the PDE snakes evolution.  ...  We define the morphological line operators as (SI d u)(x) = sup S∈B inf y∈x+hS u(y) (IS d u)(x) = inf S∈B sup y∈x+hS u(y) Using these line morphological operators the solution of the above PDE can be approached  ... 
doi:10.5201/ipol.2012.abmh-rtmsa fatcat:uh7abdccf5b45d3l4vczmpokze

Segmentation of range images using morphological operations: review and examples

Linda A. Gee, Mongi A. Abidi, David P. Casasent
1995 Intelligent Robots and Computer Vision XIV: Algorithms, Techniques, Active Vision, and Materials Handling  
Morphological image operators present another means for segmenting range images.  ...  In particular, the results from implementing gray scale morphological techniques indicate that these operators are useful for segmentation.  ...  lter which commutes with thresholding, it can be described with morphological operators.  ... 
doi:10.1117/12.222727 fatcat:3s33n6jrnvcljpjofdm7grx3vu

Extraction of navigation line based on improved grayscale factor in corn field

Jiqing Chen, Hu Qiang, Guanwen Xu, Xu Liu, Rongxian Mo, Renzhi Huang
2020 Ciência Rural  
Image segmentation is based on a new grayscale factor combined with median filtering, OSTU method and morphological operations to achieve the separation of crops and soil.  ...  The gray scale factor that is improved in this paper combined with the vertical projection map can extract the target ridge with an accuracy rate of 92%, and the accuracy of extracting the navigation line  ...  Firstly, in order to achieve the segmentation of corn plants and soil in different growth periods, this paper used the improved grayscale factor, combined with morphological processing and binary algorithm  ... 
doi:10.1590/0103-8478cr20190699 fatcat:puhxcfvoxneb7pbahlh3lvmx2i

Unsupervised Fingerprint Segmentation Based on Multiscale Directional Information [chapter]

Raoni F. S. Teixeira, Neucimar J. Leite
2011 Lecture Notes in Computer Science  
In this paper, we introduce a novel segmentation approach designed to deal with fingerprint images originated from different sensors.  ...  The method considers a multiscale directional operator and a scale-space toggle mapping used to estimate the image background information.  ...  The coordinates (x, y) of the points in a discrete line segment with length n and direction α are computed by considering a sliding window Γ of size n × n, such that x = x center + p × cos(α) y = y center  ... 
doi:10.1007/978-3-642-25085-9_4 fatcat:5e5nsosnjregzd3dekhjm3h72i

SEGMENTATION OF CANCER CELL FROM AN IMAGE

2020 JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES  
Segmentation of an image is the first step to extract required details from an image. It is a process of separating an image into unique regions containing each pixel with identical attributes.  ...  In this paper, an automatic segmentation algorithm is implemented to detect cancer cells from an image and label them in the original image.  ...  Step 6: The morphological erosion with a diamond-shaped structuring element is applied to smooth the segmented image.  ... 
doi:10.26782/jmcms.2020.09.00004 fatcat:vs2ujgb7cvhabnxyyo5ae4h5n4

Mathematical Morphology on Irregularly Sampled Data in One Dimension

Teo Asplund, Cris L. Luengo Hendriks, Matthew J. Thurley, Robin Strand
2017 Mathematical Morphology - Theory and Applications  
These operators are shown to be morphological operators that are consistent with the regular, morphological operators under the same conditions, and yield accurate results under certain conditions where  ...  In this paper, an alternative way of thinking about the morphological operators is presented. This leads to a new type of discrete operators that work on irregularly sampled data.  ...  Additionally, the line segments are given a gaussian pro le with σ = . pixels.  ... 
doi:10.1515/mathm-2017-0001 fatcat:76pbakcvybhipa3zp76u2m5wzi

A Rotation-Invariant Morphology for Shape Analysis of Anisotropic Objects and Structures [chapter]

Cris L. Luengo Hendriks, Lucas J. van Vliet
2001 Lecture Notes in Computer Science  
We present relevant properties required by morphology, as well as other properties shared with common morphological operators.  ...  Two of these new operators are increasing, idempotent and absorbing, which are required properties for a morphological operator to be used as a sieve.  ...  a line segment rotated in such a way as to minimize this maximum.  ... 
doi:10.1007/3-540-45129-3_34 fatcat:i2jszlvu5bcclor27ofznwysb4

Improvement of vessel segmentation by elastically compensated patient motion in digital subtraction angiography images [chapter]

Thorsten M. Buzug, Cristian Lorenz, Jürgen Weese
1997 Lecture Notes in Computer Science  
Kroener 384 Mathematical Morphology Morphological Grain Operators for Binary Images H.J.A.M. Heijmans 392 A Parallel 12-Subiteration 3D Thinning Algorithm to Extract Medial Lines K.  ...  Reitboeck 337 Multigrid MRF Based Picture Segmentation with Cellular Neural Networks L. Czuni, T. Sziranyi, J.  ... 
doi:10.1007/3-540-63460-6_106 fatcat:slrzatrulfcb3b4wmyv3zhlshu
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