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Adaptive basis matrix for the morphological function processing opening and closing

Kyung-Hoon Lee, A. Morales, Sung-Jea Ko
1997 IEEE Transactions on Image Processing  
Some results of optimal morphological filters applied to two-dimensional (2-D) images are presented.  ...  We proposed the basis matrix for efficient representation of opening and closing in [1] and [2].  ...  Based on this approach, we propose an adaptive basis matrix for function processing (FP) morphological opening and closing with any size of gray-scale structuring element (GSE) under the LMS error criterion  ... 
doi:10.1109/83.568935 pmid:18282971 fatcat:ly3mq4vb4fhrxm2pmlzh5h3xbq

Representations for Morphological Image Operators and Analogies with Linear Operators [chapter]

Petros Maragos
2013 Advances in Imaging and Electron Physics  
This chapter deals with representation theoretical issues of nonlinear image operators, mainly based on the methodology of mathematical morphology, and more generally operators on lattices.  ...  nonlinear basis.  ...  Acknowledgments: This chapter was written while the author was visiting the Laboratory of Information and Decision Systems at the Massachusetts Institute of Technology whose hospitality and facilities  ... 
doi:10.1016/b978-0-12-407702-7.00002-4 fatcat:xeckgeughzemdpi632fqypmi7e

Non-Negative Sparse Mathematical Morphology [chapter]

Jesús Angulo, Santiago Velasco-Forero
2017 Advances in Imaging and Electron Physics  
This paper deals with the use of sparse representations to introduce new nonlinear image filters which efficiently approximate morphological operators.  ...  Reasons why non-negative matrix factorization (NMF) is a dimensional reduction (i.e., dictionary learning) paradigm particularly adapted to the nature of morphological processing are given.  ...  ⊕ ∪K )) , with A ⊕ ∪K = { A 1 ⊕K 1 ∪ A 2 ⊕K 2 ∪ · · · A d ⊕K d } , µ n being the Lebesgue measure in R n and where X ⊕K is the dilation of set X ∈ P(E) by structuring element K, i.e., δ K (X) = X ⊕K =  ... 
doi:10.1016/bs.aiep.2017.07.001 fatcat:uy5k7rhjnjevxir64oxklwwrxq

The Monogenic Curvature Scale-Space [chapter]

Di Zang, Gerald Sommer
2006 Lecture Notes in Computer Science  
Combining methods of tensor algebra, monogenic signal and quadrature filter, the monogenic curvature signal, as a novel model for intrinsically two-dimensional (i2D) structures, is derived in an algebraically  ...  It is unified with a scale concept by employing damped spherical harmonics as basis functions. This results in a monogenic curvature scale-space.  ...  belongs to a hybrid matrix geometric algebra M (2, R 3 ), which is the geometric algebra of a 2 × 2 matrix with elements in R 3 , see [21] .  ... 
doi:10.1007/11774938_25 fatcat:3p7bgawny5agxmulunsjouegcm

Estimation of Rock Particle Size Distribution Using Wavelet Decomposition and Morphological Operations

Anthony Amankwah, Chris Aldrich
2013 Journal of clean energy technologies  
Morphological opening and closing filtering performed on rock images with structuring elements of increasing size also enhanced the class separability of the images of rock particulates.  ...  In this paper, we present an image classification system to estimate the proportion of fines in aggregates of rock particles based on two-level wavelet decomposition and morphological operations.  ...  of closings openings with different sizes of the structuring element.  ... 
doi:10.7763/ijcte.2013.v5.728 fatcat:rfh4lq7j4rhyrgiztzbnd7oe5i

A multidimensional scaling approach to explore the behavior of a texture perception algorithm

Maria Vanrell, Jordi Vitrià, Xavier Roca
1997 Machine Vision and Applications  
Multidimensional scaling provides a dimensional reduction of space of representation.  ...  The resulting behavior space establishes the basis to construct a quantitative causal model of an algorithm.  ...  Starting with an n × n matrix, ∆ = (δ ij ), where δ ij represents a dissimilarity measure between points p i and p j in a m-dimensional space, the objective is to find a configuration of x 1 , ..., x n  ... 
doi:10.1007/s001380050047 fatcat:r3hu5kvt7jdqxnmsqpe5e3t5ky

Manifold-based mathematical morphology for graph signal editing of colored images and meshes

Olivier Lezoray
2016 2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC)  
The proposed method enables, with the help of the construction of a manifold-based ordering of color vectors, to define a new representation of graph signals in the form of an ordering of vectors and an  ...  Manifold-based mathematical morphology for graph signal editing of colored images and meshes.  ...  Figure 2 presents an example of morphological image filtering with an opening by reconstruction γ rec B k with a k = 2-hop as structuring element.  ... 
doi:10.1109/smc.2016.7844228 dblp:conf/smc/Lezoray16 fatcat:gg4d3wuxpfhz3dgnqekmt62uda

Compression and Recovery of 3D Broad-Leaved Tree Point Clouds Based on Compressed Sensing

Renjie Xu, Ting Yun, Lin Cao, Yunfei Liu
2020 Forests  
Our scheme starts by eliminating outliers and simplifying point clouds with statistical filtering and voxel filtering.  ...  The scheme then applies Haar sparse basis to thin the coordinate data based on the characteristics of the broad-leaved tree point clouds.  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/f11030257 fatcat:icfhoaphnrbnzoxxv3ygtvb3zq

Three-dimensional generalized discrete fuzzy number and applications in color mathematical morphology

ZengTai Gong, Na Qin, GuiCang Zhang
2021 IEEE Access  
= max{u i |i = 1, 2, ..., n, n ≥ 2} According to the definition of infimum and supremum operations on structuring element, the operators of color mathematical morphology can be constructed.  ...  We take a square matrix of 9×9 size as the initial structuring element in the original image Fig.2b , use the (4) to calculate the similarity between two pixels in this matrix, and set the parameter λ  ... 
doi:10.1109/access.2021.3057623 fatcat:i6cg2mbg4vc6dbu25ka3ibosym

Towards Automatic Music Structural Analysis Identifying Characteristic Within-Song Excerpts in Popular Music

Bee Suan Ong, Xavier Serra
2005 Zenodo  
The main task of automatic music structural analysis is to discover the structure of music by analyzing audio signals in order to facilitate a better handling of the current explosively expanding amounts  ...  We present a two-phase music segmentation system together with a combined set of lowlevel audio descriptors to be extracted form the music audio signals.  ...  of morphological filter on one-dimensional binary signal………………………………………………………... 58 3.7 The 'Open-Close' and 'Close-Open' operations of morphological filter on one-dimensional binary signal……………………………  ... 
doi:10.5281/zenodo.3739314 fatcat:ptqosukiyvaxvdxr7sncrbtuhq

Transient signal analysis using parallel time-frequency manifold filtering for bearing health diagnosis

Deqi Zhang, Xiaoxi Ding, Wenbin Huang, Qingbo He
2019 IEEE Access  
INDEX TERMS Sparse representation, time-frequency image, parallel time-frequency manifold filtering, image morphology filtering, fault diagnosis.  ...  of image morphology.  ...  The PTFM filtering introduces a mergence of TFM learning and sparse representation into the image morphology filtering field.  ... 
doi:10.1109/access.2019.2956824 fatcat:wlppato7lzctdmx63lx6cbqqiy

Structural-functional lung imaging using a combined CT-EIT and a Discrete Cosine Transformation reconstruction method

Benjamin Schullcke, Bo Gong, Sabine Krueger-Ziolek, Manuchehr Soleimani, Ullrich Mueller-Lisse, Knut Moeller
2016 Scientific Reports  
Results on simulated data indicate that this approach preserves the morphological structures of the lungs and avoids blurring of the solution.  ...  This leads to reconstructed images of lung ventilation that can easily be superimposed with structural CT or MRI images, which facilitates image interpretation.  ...  Thanks to S.Pulletz for providing some of the clinical data.  ... 
doi:10.1038/srep25951 pmid:27181695 pmcid:PMC4867600 fatcat:vmycuvoxhjgjzmgujed3m7ycbe

Denoise and Recognition of Friction AE Signal [chapter]

Deng Aidong, Jiang Zhang
2012 Acoustic Emission  
"Probe" is a set either which is called "structuring element" by morphology and determined by analyst based on analytical purpose.  ...  Mathematical morphology image processing mainly analyzes set X. Morphology uses a method of subjective "probe" interacting with objects to analyze X.  ...  Selection of structural elements The results of morphological filtering are greatly related to the structural elements applied.  ... 
doi:10.5772/31989 fatcat:kftlihhvf5htrhc65repo6vcve

Principal Component Analysis Based Feature Extraction, Morphological Edge Detection and Localization for Fast Iris Recognition

M.
2012 Journal of Computer Science  
This study involves the Iris Localization based on morphological or set theory which is well in shape detection.  ...  Applications such as Median Filtering and Adaptive thresholding are used for handling the variations in lighting and noise. Features are extracted using Wavelet Packet Transform (WPT).  ...  matrix C • Any vector S or S S − can be written as linear combination of eigen vectors shown in Eq. 5 • Because covariance matrix is symmetric it form basis V 1 V 2 V 3 V 4 … V N S S − = b 1 u 1 +b 2  ... 
doi:10.3844/jcssp.2012.1428.1433 fatcat:y7kln6cudjaipljn62r74wwne4

Morphological processing of proper orthogonal modes for crack detection in beam structures

Konstantinos Gryllias, Ioannis Koukoulis, Christos Yiakopoulos, Ioannis Antoniadis, Christopher Provatidis
2009 Journal of Mechanics of Materials and Structures  
The basic concept of morphological processing is to modify the shape of an object by transforming it through its interaction with another object, called the structuring element.  ...  The erosion operator with a spline structuring element is shown to present the best results.  ...  A thorough treatment of the relations between linear and morphological filtering operations is developed in [Maragos and Schafer 1987] , leading to an equivalent representation of the morphological filters  ... 
doi:10.2140/jomms.2009.4.1063 fatcat:xwpnkofklfefxcymzuqqigpil4
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