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Morphological Filtering in Shape Spaces: Applications using Tree-Based Image Representations
[article]
2012
arXiv
pre-print
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Consequently, the filtering is done not in the space of the image, but on the space of shapes build from the image. ...
A popular strategy is based on tree-based image representations: for example, one can compute an attribute on each node of the tree and keep only the nodes for which the attribute is sufficiently strong ...
The authors would like to thank Jean Serra for fruitful discussions and for having coined the term "morphological shaping". ...
arXiv:1204.4758v2
fatcat:rh2oyqq365d6rgcrnruxklkar4
Connected Filtering on Tree-Based Shape-Spaces
2016
IEEE Transactions on Pattern Analysis and Machine Intelligence
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Consequently, the filtering is performed not in the space of the image, but in the space of shapes built from the image. ...
A popular implementation strategy relies on tree-based image representations: for example, one can compute an attribute characterizing the connected component represented by each node of the tree and keep ...
Shape-space filtering using trees In practice, an efficient implementation of the connected operators and the framework of shape-space filtering rely on some tree-based representations (see [9, 10] for ...
doi:10.1109/tpami.2015.2441070
pmid:26415150
fatcat:qpuouay2czdhpkh2u2obooogxi
Hierarchical Segmentation Using Tree-Based Shape Spaces
2017
IEEE Transactions on Pattern Analysis and Machine Intelligence
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We weigh the boundaries of a subset of meaningful regions (local minima) in the shape space by extinction values based on the attribute. ...
It relies on the notion of shape space: a graph representation of a set of regions extracted from the image. Each region is characterized with an attribute describing it. ...
The shape space has been proved to be very useful in many applications. ...
doi:10.1109/tpami.2016.2554550
pmid:27101599
fatcat:jd6p3i743zdapdezd7u6t7benm
Color Area Morphology Scale-Spaces
[chapter]
2010
Advances in Imaging and Electron Physics
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As with other sieves, the set of scale-space images produced by the CCS can be presented in a tree-based representation. ...
An efficient and convenient way to interact with the scale-space representations derived using area operators is to use a tree-based representation. ...
doi:10.1016/s1076-5670(10)60002-x
fatcat:e53ecnq6yvalzj2ja55ljzz3ia
Shape representation and recognition through morphological curvature scale spaces
2006
IEEE Transactions on Image Processing
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The method is based on two morphological scale-space representations, the hattransform scale spaces, which showed successful applicability for shape-based recognition. ...
Meyer and Maragos [27] developed a morphological scale-space representation based on a morphological strong filter, the so-called levelings. ...
(1999) in Applied Electronics and Information Engineering from "Politehnica" University of Bucharest, Romania. ...
doi:10.1109/tip.2005.860606
pmid:16479803
fatcat:3rrj4j6iajeclhxphndzjtonhq
INTERACTIVE DIGITAL TERRAIN MODEL ANALYSIS IN ATTRIBUTE SPACE
2020
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
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The tree-based pattern spectra used in this paper allowed us to analyse and extract features of interest. ...
In this paper, we proceed further and use the pattern spectrum, a multi-scale tool originating from mathematical morphology, further enhanced by hierarchical representations. ...
Morphological Hierarchy An interesting mean to represent the hierarchy in an image is to use morphological operators. ...
doi:10.5194/isprs-archives-xliii-b2-2020-1203-2020
fatcat:lbxedowgt5h2tgwswoprsbe6ja
Scale space classification using area morphology
2000
IEEE Transactions on Image Processing
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We explore the application of area morphology to image classification. From the input image, a scale space is created by successive application of an area morphology operator. ...
Using the standard -means algorithm or the fuzzy -means algorithm, the image pixels can be classified by clustering the associated scale space vectors. ...
He has used standard morphological opening and closing [8] with structuring elements of varying shape and size to generate a scale space for shape representation. ...
doi:10.1109/83.841939
pmid:18255435
fatcat:lm4gzfis6nhybovxueh6okklqu
White blood cell segmentation using morphological operators and scale-space analysis
2007
XX Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI 2007)
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We use simple morphological operators and explore the scale-space properties of a toggle operator to improve the segmentation accuracy. ...
The proposed scheme has been successfully applied to a large number of images, showing promising results for varying cell appearance and image quality, encouraging future works. ...
Scaled morphological operators have been frequently associated to non-linear filters (image sharpening, for example) and scale-space theory. ...
doi:10.1109/sibgrapi.2007.33
dblp:conf/sibgrapi/DoriniML07
fatcat:fojokdzajrdyvbpfmlzvroycn4
White blood cell segmentation using morphological operators and scale-space analysis
2007
Computer Graphics and Image Processing (SIBGRAPI), Proceedings of the Brazilian Symposium on
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We use simple morphological operators and explore the scale-space properties of a toggle operator to improve the segmentation accuracy. ...
The proposed scheme has been successfully applied to a large number of images, showing promising results for varying cell appearance and image quality, encouraging future works. ...
Scaled morphological operators have been frequently associated to non-linear filters (image sharpening, for example) and scale-space theory. ...
doi:10.1109/sibgra.2007.4368197
fatcat:ttrqty443jhi5m3tc7v5ucssx4
The Segmentation of Images via Scale-Space Trees
1998
Procedings of the British Machine Vision Conference 1998
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A useful representation of an image would be an object tree in which nodes represent objects, or parts of objects, and which includes at least one node that, together with its children, represents each ...
It is shown that scale-trees, obtained from greyscale images, approximate such a tree. It is then shown how they may be modified using other attributes to more closely become object trees. ...
The unaltered tree can be used for motion filtering of an image. ...
doi:10.5244/c.12.4
dblp:conf/bmvc/BanghamHHC98
fatcat:x7hhikrzt5bifejubruavjalci
Automatic diatom identification using contour analysis by morphological curvature scale spaces
2005
Machine Vision and Applications
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The method is tested on two large sets of diatom images. The techniques used are applicable to other shapes besides diatoms. ...
A method for automatic identification of diatoms (single-celled algae with silica shells) based on extraction of features on the contour of the cells by multi-scale mathematical morphology is presented ...
They developed a morphological curvature scale space for shape analysis, based on sequences of morphological top-hat or bottom-hat filters with increasing size of the structuring element used. ...
doi:10.1007/s00138-005-0175-8
fatcat:l7mcuw3byzgiffqcmgsswp7fvy
Attribution in Scale and Space
[article]
2020
arXiv
pre-print
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It produces scores in the scale/frequency dimension, that we find captures interesting phenomena. ...
Second, it satisfies the scale-space axioms [14], which imply that it employs perturbations that are free of artifact. ...
This when filtered by the LoG-filtered image provides localization in frequency. ...
arXiv:2004.03383v2
fatcat:4lbai6wrunadtfpb62ikebsequ
Attribute-space connectivity and connected filters
2007
Image and Vision Computing
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In this paper connected operators from mathematical morphology are extended to a wider class of operators, which are based on connectivities in higher dimensional spaces, similar to scale spaces, which ...
These show how attribute-space connected filters merge the ability of filtering based on local structure using classical, structuring-element-based filters to the object-attribute-based filtering of connected ...
In mathematical morphology, connected operators have been developed which perform filtering based on these kinds of groupings [10] [11] [12] [13] , including attribute filters, in which filtering is based ...
doi:10.1016/j.imavis.2006.04.015
fatcat:yg6q5cm7mnegriaugyqkx73pba
Colour Morphological Scale-Spaces for Image Segmentation
2005
Procedings of the British Machine Vision Conference 2005
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Morphological scale-spaces have become an important tool for analysing greyscale images. However, their extension to colour images has proven elusive until recently. ...
A quantitative evaluation of the segmentation performance using a set of images with human ground truth from the Berkeley dataset shows the new method to produce the best segmentation performance. ...
Both classes are implemented by the application of successive openings and closings of increasing scale to produce a tree-based image representation. ...
doi:10.5244/c.19.93
dblp:conf/bmvc/GimenezE05
fatcat:xfwvi26hpnhonbwges2kf4marm
Hierarchical Modeling of Multidimensional Data in Regularly Decomposed Spaces: Applications in Image Analysis
[article]
2016
arXiv
pre-print
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As in the previous documents, it will be found in annex algorithms targeted on image analysis according two complementary approaches: - boundary-based approach for the industrial applications of artificial ...
vision; - region-based approach for satellite image analysis. ...
Shape and photometric descriptors can be used for content-based image and video retrieval. ...
arXiv:1605.01242v1
fatcat:vay674g5m5b5him7wtcwxxoteu
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