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conference on image algebra and morphological image processing v

作者： BARRERA, J BANON, GJF LOTUFO, RD UNIV SAO PAULO DEPT CIENCIA COMPBR-01452990 SAO PAULOBRAZIL

ISBN: (纸本)081941624X

Mathematical Morphology is a general theory that studies the decompositions of mappings between complete lattices in terms of some families of simple mappings: dilations, erosions, anti-dilations and anti-erosions. Nowadays, this theory is largely used in image processing and Computer vision to extract information from images. The KHOROS system is an open and general environment for image processing and visualization that has become very popular. One of the main characteristics of KHOROS is its flexibility, since it runs out on standard machines, supports several standard data formats, uses a visual programming language, and has tools to help the user to build and install his own programs. A set of new programs can be organized as a subsystem, called Toolbox. This paper presents a fast and comprehensive Mathematical Morphology Toolbox for the KHOROS system, that deals with binary, gray- scale and multiple band images. Each program has specialized algorithms for binary and gray- scale images, that are chosen automatically according to the input data. These implemented algorithms running on current general purpose workstations are as fast as the equivalent ones running on specialized hardware with 1986 technology.

关键词： MATHEMATICAL MORPHOLOGY KHOROS SYSTEM image ANALYSIS

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morphological fuzzified-set image algebra and cellular two-layer logic architecture

Morphological fuzzified-set image algebra and cellular two-l...

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Nonlinear image processing vII conference

作者： Liu, LR Yin, YZ ACAD SINICA SHANGHAI INST OPT & FINE MECHINFORMAT OPT LABSHANGHAI 201800PEOPLES R CHINA

ISBN: (纸本)0819420360

By developing the transform of local umbra, fuzzified sets are proposed to represent grayscale images and used to redefine the operations in mathematical morphology. A linear transform is suggested to convert the fuzzified sets back to the images. Then a set algebraic structure in the space of local umbra is established, which can describe binary and grayscale morphological functions in a uniform formulation. Further, a compact fuzzified-set image algebra is developed which has only a combined operator of a set logic followed by a fuzzified-set dilation. A cellular two-layer set-logic array architecture is suggested to execute the algorithm.

关键词： mathematical morphology fuzzy sets set algebra image algebra cellular logic array

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KNOWLEDGE-BASED SEGMENTATION USING morphological FILTERS

MICROPROCESSING AND MICROPROGRAMMING

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MICROprocessing AND MICROPROGRAMMING 1991年第1-5期32卷 447-452页

作者： NEEJARvI, J FISCHER, v ALENIUS, S NEUvO, Y TAMPERE UNIV SIGNAL PROC LAB SF-33101 TAMPERE FINLAND TECH UNIV KOSICE DEPT RADIOELECTR CS-04120 KOSICE CZECHOSLOVAKIA

This paper presents a fast and efficient approach to picture segmentation using morphological filters for industrial applications. Using a priori information of the texture, pictures are preprocessed and segmented by thresholding. The statistical, morphological and combined statistical and morphological segmentation methods are introduced for the realization. The approach presented overcomes the usual difficulties connected with shadows, light reflections, and overlapping of the objects' gray-level distributions. The approach, however, requires the ability to choose the type of the background texture pattern. By selecting a background with a fine structure pattern, it is possible to segment the picture according to the texture homogeneity. The objects and their details which are larger than the texture primitive can then be detected. The method using morphological filters is found to be most suitable for this application. However, the combined statistical and morphological method produces the best results in noiseless conditions. Examples on actual images confirm the performance. The methods can be easily implemented with common image-processing equipment.

关键词： image processing

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Max-plus algebra based wavelet transform and its application to video compression/reconstruction

Max-plus algebra based wavelet transform and its application...

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IEEE International conference on image processing (ICIP 2006)

作者： Nobuhara, Hajime Hirota, Kaoru Bede, Barnabas Tokyo Inst Technol Dept Comp Int & Syst Sci Midiri Ku G3-494259 Nagatsuka Yokohama Kanagawa 2268502 Japan Tech Univ Budapest Dept Mech & Syst Engn H-1081 Budapest Hungary

ISBN: (纸本)9781424404810

A wavelet transformation based on max-plus algebra is proposed, where analysis and synthesis operations are defined by max (or min) and standard sum and they treat with 9 channel multi resolution images. The proposed wavelets especially can reserve edge information on compressed images due to the non-linear operations (max and min);therefore, they are efficient for the compression of predictive frames used in video compression and reconstruction. Through video compression and reconstruction experiments using standard video database, it is confirmed that effectiveness of the proposed wavelets.

关键词： image coding multivalued logic wavelet transforms morphological operations

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Robust image Retrieval from Noisy Inputs using Lattice Associative Memories

Robust Image Retrieval from Noisy Inputs using Lattice Assoc...

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conference on image processing - Algorithms and Systems vII

作者： Urcid, Gonzalo Angel Nieves-, Jose, v Garcia-A, Anmi Carlos valdiviezo-N, Juan INAOE Dept Opt Puebla 72000 Mexico

ISBN: (纸本)9780819474957

Lattice associative memories also known as morphological associative memories are fully connected feedforward neural networks with no hidden layers, whose computation at each node is carried out with lattice algebra operations. These networks are a relatively recent development in the field of associative memories that has proven to be an alternative way to work with sets of pattern pairs for which the storage and retrieval stages use minimax algebra. Different associative memory models have been proposed to cope with the problem of pattern recall under input degradations, such as occlusions or random noise, where input patterns can be composed of binary or real valued entries. In comparison to these and other artificial neural network memories, lattice algebra based memories display better performance for storage and recall capability;however, the computational techniques devised to achieve that purpose require additional processing or provide partial success when inputs are presented with undetermined noise levels. Robust retrieval capability of an associative memory model is usually expressed by a high percentage of perfect recalls from non-perfect input. The procedure described here uses noise masking defined by simple lattice operations together with appropriate metrics, such as the normalized mean squared error or signal to noise ratio, to boost the recall performance of either the min or max lattice auto-associative memories. Using a single lattice associative memory, illustrative examples are given that demonstrate the enhanced retrieval of correct gray-scale image associations from inputs corrupted with random noise.

关键词： Gray-scale image associations image noise masking lattice associative memories morphological neural networks

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RADIOGRAPHIC INSPECTION, DEFECTS SEGMENTATION AND MULTISCALE ANALYSIS 5

RADIOGRAPHIC INSPECTION, DEFECTS SEGMENTATION AND MULTISCALE...

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conference on image algebra and morphological image processing v

作者： LEFEvRE, M PRETEUX, F LAvAYSSIERE, B ENST PARIS DPT IMAGEF-75634 PARIS 13FRANCE

ISBN: (纸本)081941624X

In radiographic inspection used by Electricite De France (EDF) for pipe control in nuclear power plants, pipe radiographs are digitized according to a well-defined protocol. The aim of EDF consists of developing a non-destructive testing system for identifying defects. In this paper, we propose an approach based on a multiscale analysis allowing to achieve simultaneously defect-enhancement and noise-filtering and leading to accurate defects segmentation using mathematical morphology. The principle consists of defining a one- parameter family of operators which are successively applied to the digitized images, after drift-removal. Equivalently, the multiscale analysis can be expressed as the solution of an evolution equation, whose analytical form is conditioned by the specific properties of the operators (e.g., mean curvature motion, affine scale-space). This results in a family of images with increasing smoothness and consistent edge preservation.

关键词： MULTISCALE ANALYSIS MULTIRESOLUTION EvOLUTION SCHEMES CRITICAL SCALE ESTIMATOR DEFECTS SEGMENTATION CONNECTION COST OPERATOR RADIOGRAPHIC imageS

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image algebra and morphological image processing

Image Algebra and Morphological Image Processing

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image algebra and morphological image processing

This conference proceedings contain 42 papers. Topics covered include: Methods of representation of image processing and pattern recognition algorithms;extension of existing image algebraic structures and morphological operations;general applications of the watershed transformation to image segmentation;applications of image algebra and mathematical morphology to image segmentation and pattern recognition;utility of image algebra as a mechanism for representing algorithms used in electron microscopy;application of mathematical morphology to the problem of word verification on machine printed address blocs;computer implementation of image algebraic operations;software implementations;parallel processing and parallel architectures;digital and optical computing;and decomposition methods or optimizing computations.

关键词： image processing

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image algebra and morphological image processing II

Image Algebra and Morphological Image Processing II

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image algebra and morphological image processing II

This conference proceedings contains 31 papers. The topics covered are: multiresolution techniques;mathematical morphology;image algebra;automated operator development;applications.

ISBN: (纸本)0819406961

This conference proceedings contains 31 papers. The topics covered are: multiresolution techniques;mathematical morphology;image algebra;automated operator development;applications.

关键词： image processing

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A METHOD TO DETERMINE THE SIZE OF THE STRUCTURING ELEMENT IN morphological CORRECTION OF NON-UNIFORM ILLUMINATION

A METHOD TO DETERMINE THE SIZE OF THE STRUCTURING ELEMENT IN...

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18th IEEE International conference on image processing (ICIP)

作者： Lorenzo-Ginori, Juan v. Univ Cent Marta Abreu Las Villas Fac Elect Engn Santa Clara Cuba

ISBN: (纸本)9781457713033

Correction of uneven illumination in images is frequently used as a preprocessing step, for which morphological processing is a well established technique. This task has some specific characteristics for images containing disjoint blobs. These images appear frequently in applications like cellular imaging, where it is often necessary to process them in large amounts. In such cases, achieving a high degree of automation becomes an important factor. When correcting uneven illumination by morphological processing for this class of images, selecting an appropriate size for the structuring element (SE) is a relevant issue. In this work, a method based in grayscale morphological operations is presented, to determine an appropriate size of the SE. The effectiveness of the method was tested through simulations using images derived from real world examples. Results are presented in terms of tables showing the precision in recovering the original image intensities, as well as through illustrative images.

关键词： Uneven illumination morphological image processing

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morphological Adjunctions Represented by Matrices in Max-Plus algebra for Signal and image processing 2nd

Morphological Adjunctions Represented by Matrices in Max-Plu...

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2nd International conference on Discrete Geometry and Mathematical Morphology (DGMM)

作者： Blusseau, Samy velasco-Forero, Santiago Angulo, Jesus Bloch, Isabelle PSL Univ Ctr Math Morphol Mines Paris F-77300 Fontainebleau France Sorbonne Univ LIP6 CNRS F-75005 Paris France

ISBN: (纸本)9783031198960;9783031198977

In discrete signal and image processing, many dilations and erosions can be written as the max-plus and min-plus product of a matrix on a vector. Previous studies considered operators on symmetrical, unbounded complete lattices, such as Cartesian powers of the completed real line. This paper focuses on adjunctions on closed hypercubes, which are the complete lattices used in practice to represent digital signals and images. We show that this constrains the representing matrices to be doubly-0-astic and we characterise the adjunctions that can be represented by them. A graph interpretation of the defined operators naturally arises from the adjacency relationship encoded by the matrices, as well as a max-plus spectral interpretation.

关键词： morphological operators Max-plus algebra Graph theory

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