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Morphological Filtering in Shape Spaces: Applications using Tree-Based Image Representations [article]

Yongchao Xu, Thierry Géraud, Laurent Najman
2012 arXiv   pre-print
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

Yongchao Xu, Thierry Geraud, Laurent Najman
2016 IEEE Transactions on Pattern Analysis and Machine Intelligence  
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

Yongchao Xu, Edwin Carlinet, Thierry Geraud, Laurent Najman
2017 IEEE Transactions on Pattern Analysis and Machine Intelligence  
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]

Adrian N. Evans
2010 Advances in Imaging and Electron Physics  
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

A.C. Jalba, M.H.F. Wilkinson, J.B.T.M. Roerdink
2006 IEEE Transactions on Image Processing  
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

F. Guiotte, G. Etaix, S. Lefèvre, T. Corpetti
2020 The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences  
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

S.T. Acton, D.P. Mukherjee
2000 IEEE Transactions on Image Processing  
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

Leyza Baldo Dorini, Rodrigo Minetto, Neucimar Jeronimo Leite
2007 XX Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI 2007)  
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

Leyza Baldo Dorini, Rodrigo Minetto, Neucimar Jeronimo Leite
2007 Computer Graphics and Image Processing (SIBGRAPI), Proceedings of the Brazilian Symposium on  
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

J. A. Bangham, J. R. Hidalgo, R. Harvey, G. Cawley
1998 Procedings of the British Machine Vision Conference 1998  
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

Andrei C. Jalba, Michael H. F. Wilkinson, Jos B. T. M. Roerdink, Micha M. Bayer, Stephen Juggins
2005 Machine Vision and Applications  
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]

Shawn Xu, Subhashini Venugopalan, Mukund Sundararajan
2020 arXiv   pre-print
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

Michael H.F. Wilkinson
2007 Image and Vision Computing  
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

D. Gimenez, A. N. Evans
2005 Procedings of the British Machine Vision Conference 2005  
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]

Olivier Guye
2016 arXiv   pre-print
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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