{"title":"Improved Part-Based Segmentation of Voxel Shapes by Skeleton Cut Spaces","authors":"Cong Feng, A. Jalba, A. Telea","doi":"10.1515/mathm-2016-0004","DOIUrl":"https://doi.org/10.1515/mathm-2016-0004","url":null,"abstract":"Abstract We present a refined method for part-based segmentation of voxel shapes by constructing partitioning cuts from every voxel of the shape’s medial surface. Our cuts have several desirable properties – smoothness, tightness, and orientation with respect to the shape’s local symmetry axis, making it a good segmentation tool.We analyze the space of all cuts created for a given shape and detect cuts which are good segment borders. We present a detailed analysis of the parameter space of our method, which yields good preset values for all its parameters. Our method is robust to noise, pose invariant, independent on the shape geometry and genus, and is simple to implement.We demonstrate our method for both automatic and interactive segmentation on a wide selection of 3D shapes.","PeriodicalId":244328,"journal":{"name":"Mathematical Morphology - Theory and Applications","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116682906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Generalized Morphology using Sponges","authors":"J. V. D. Gronde, J. Roerdink","doi":"10.1515/mathm-2016-0002","DOIUrl":"https://doi.org/10.1515/mathm-2016-0002","url":null,"abstract":"Abstract Mathematical morphology has traditionally been grounded in lattice theory. For non-scalar data lattices often prove too restrictive, however. In this paper we present a more general alternative, sponges, that still allows useful definitions of various properties and concepts from morphological theory. It turns out that some of the existing work on “pseudo-morphology” for non-scalar data can in fact be considered “proper” mathematical morphology in this new framework, while other work cannot, and that this correlates with how useful/intuitive some of the resulting operators are.","PeriodicalId":244328,"journal":{"name":"Mathematical Morphology - Theory and Applications","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117014272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
J. Koehoorn, A. Sobiecki, P. E. Rauber, A. Jalba, A. Telea
{"title":"Effcient and Effective Automated Digital Hair Removal from Dermoscopy Images","authors":"J. Koehoorn, A. Sobiecki, P. E. Rauber, A. Jalba, A. Telea","doi":"10.1515/mathm-2016-0001","DOIUrl":"https://doi.org/10.1515/mathm-2016-0001","url":null,"abstract":"Abstract We propose a method for digital hair removal from dermoscopic images, based on a threshold-set model. For every threshold, we adapt a recent gap-detection algorithm to find hairs, and merge results in a single mask image.We find hairs in this mask by combining morphological filters and medial descriptors.We derive robust parameter values for our method from over 300 skin images.We detail a GPU implementation of our method and show how it compares favorably with five existing hair removal methods, in terms of removing both long and stubble hair of various colors, contrasts, and curvature. We also discuss qualitative and quantitative validations of the produced hair-free images, and show how our method effectively addresses the task of automatic skin-tumor segmentation for hair-occluded images.","PeriodicalId":244328,"journal":{"name":"Mathematical Morphology - Theory and Applications","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124051419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Local 2D Pattern Spectra as Connected Region Descriptors","authors":"Petra Bosilj, M. Wilkinson, Ewa Kijak, S. Lefèvre","doi":"10.1515/mathm-2016-0011","DOIUrl":"https://doi.org/10.1515/mathm-2016-0011","url":null,"abstract":"Abstract We validate the usage of augmented 2D shape-size pattern spectra, calculated on arbitrary connected regions. The evaluation is performed on MSER regions and competitive performance with SIFT descriptors achieved in a simple retrieval system, by combining the local pattern spectra with normalized central moments. An additional advantage of the proposed descriptors is their size: being half the size of SIFT, they can handle larger databases in a time-efficient manner. We focus in this paper on presenting the challenges faced when transitioning from global pattern spectra to the local ones. An exhaustive study on the parameters and the properties of the newly constructed descriptor is offered, as well as performance results from preliminary experiments, validating the usage of the descriptor. We also consider possible improvements to the quality and computation efficiency of the proposed local descriptors.","PeriodicalId":244328,"journal":{"name":"Mathematical Morphology - Theory and Applications","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127267516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Éloïse Grossiord, B. Naegel, Hugues Talbot, Nicolas Passat, Laurent Najman
{"title":"Shape-Based Analysis on Component-Graphs for Multivalued Image Processing","authors":"Éloïse Grossiord, B. Naegel, Hugues Talbot, Nicolas Passat, Laurent Najman","doi":"10.1515/mathm-2019-0003","DOIUrl":"https://doi.org/10.1515/mathm-2019-0003","url":null,"abstract":"Abstract Connected operators based on hierarchical image models have been increasingly considered for the design of efficient image segmentation and filtering tools in various application fields. Among hierarchical image models, component-trees represent the structure of grey-level images by considering their nested binary level-sets obtained from successive thresholds. Recently, a new notion of component-graph was introduced to extend the component-tree to any grey-level or multivalued images. The notion of shaping was also introduced as a way to improve the anti-extensive filtering by considering a two-layer component-tree for grey-level image processing. In this article, we study how component-graphs (that extend the component-tree from a spectral point of view) and shapings (that extend the component-tree from a conceptual point of view) can be associated for the effective processing of multivalued images. We provide structural and algorithmic developments. Although the contributions of this article are theoretical and methodological, we also provide two illustration examples that qualitatively emphasize the potential use and usefulness of the proposed paradigms for image analysis purposes.","PeriodicalId":244328,"journal":{"name":"Mathematical Morphology - Theory and Applications","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130617149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}