{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,3]],"date-time":"2026-05-03T03:21:17Z","timestamp":1777778477660,"version":"3.51.4"},"reference-count":42,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2005,12,1]],"date-time":"2005-12-01T00:00:00Z","timestamp":1133395200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information Visualization"],"published-print":{"date-parts":[[2005,12]]},"abstract":"<jats:p>The analysis of multivariate image data is a field of research that is becoming increasingly important in a broad range of applications from remote sensing to medical imaging. While traditional scientific visualization techniques are often not suitable for the analysis of this kind of data, methods of image fusion have evolved as a promising approach for synergistic data integration. In this paper, a new approach for the analysis of multivariate image data by means of image fusion is presented, which employs topographic mapping techniques based on non-Euclidean geometry. The hyperbolic self-organizing map (HSOM) facilitates the exploration of high-dimensional data and provides an interface in the tradition of distortion-oriented presentation techniques. For the analysis of hidden patterns and spatial relationships, the HSOM gives rise to an intuitive and efficient framework for the dynamic visualization of multivariate image data by means of color. In an application, the hyperbolic data explorer (HyDE) is employed for the visualization of image data from dynamic contrast-enhanced magnetic resonance imaging (DCE-MRI). Using 12 image sequences from breast cancer research, the method is introduced by different visual representations of the data and is also quantitatively analyzed. The HSOM is compared to different standard classifiers and evaluated with respect to topology preservation.<\/jats:p>","DOI":"10.1057\/palgrave.ivs.9500106","type":"journal-article","created":{"date-parts":[[2005,10,13]],"date-time":"2005-10-13T04:59:27Z","timestamp":1129179567000},"page":"266-275","source":"Crossref","is-referenced-by-count":2,"title":["Image Fusion Based on Topographic Mappings Using the Hyperbolic Space"],"prefix":"10.1177","volume":"4","author":[{"given":"Axel","family":"Saalbach","sequence":"first","affiliation":[{"name":"Applied Neuroinformatics Group, Faculty of Technology, Bielefeld University, Bielefeld, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J\u00f6rg","family":"Ontrup","sequence":"additional","affiliation":[{"name":"Neuroinformatics Group, Faculty of Technology, Bielefeld University, Bielefeld, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Helge","family":"Ritter","sequence":"additional","affiliation":[{"name":"Neuroinformatics Group, Faculty of Technology, Bielefeld University, Bielefeld, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tim W.","family":"Nattkemper","sequence":"additional","affiliation":[{"name":"Applied Neuroinformatics Group, Faculty of Technology, Bielefeld University, Bielefeld, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2005,12,1]]},"reference":[{"key":"bibr1-palgrave.ivs.9500106","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-88087-2"},{"key":"bibr2-palgrave.ivs.9500106","volume-title":"Handbook of Medical Imaging: Processing and Analysis.","author":"Bankman IN","year":"2000"},{"key":"bibr3-palgrave.ivs.9500106","doi-asserted-by":"publisher","DOI":"10.1023\/A:1013550313321"},{"key":"bibr4-palgrave.ivs.9500106","first-page":"3","volume-title":"Information Processing for Remote Sensing.","author":"Landgrebe D","year":"2000"},{"key":"bibr5-palgrave.ivs.9500106","volume-title":"Visualisierung - Grundlagen und allgemeine Methoden.","author":"Schumann H","year":"2000"},{"key":"bibr6-palgrave.ivs.9500106","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(03)00021-2"},{"key":"bibr7-palgrave.ivs.9500106","doi-asserted-by":"publisher","DOI":"10.1080\/014311698215748"},{"key":"bibr8-palgrave.ivs.9500106","doi-asserted-by":"publisher","DOI":"10.1016\/S1566-2535(01)00056-2"},{"key":"bibr9-palgrave.ivs.9500106","doi-asserted-by":"publisher","DOI":"10.1109\/83.535844"},{"key":"bibr10-palgrave.ivs.9500106","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-56927-2"},{"key":"bibr11-palgrave.ivs.9500106","volume-title":"Multivariate Image Analysis.","author":"Geladi P","year":"1996"},{"key":"bibr12-palgrave.ivs.9500106","first-page":"1649","volume":"53","author":"Fung T","year":"1987","journal-title":"Photogrammetric Engineering & Remote Sensing"},{"key":"bibr13-palgrave.ivs.9500106","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.1910040508"},{"key":"bibr14-palgrave.ivs.9500106","doi-asserted-by":"publisher","DOI":"10.1007\/BF01900904"},{"key":"bibr15-palgrave.ivs.9500106","doi-asserted-by":"publisher","DOI":"10.1186\/1476-072X-3-12"},{"key":"bibr16-palgrave.ivs.9500106","doi-asserted-by":"publisher","DOI":"10.1016\/B978-044450270-4\/50007-3"},{"key":"bibr17-palgrave.ivs.9500106","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-44794-6_28"},{"key":"bibr18-palgrave.ivs.9500106","volume-title":"Riemannian Geometry: A Beginner's Guide.","author":"Morgan F","year":"1993"},{"key":"bibr19-palgrave.ivs.9500106","doi-asserted-by":"crossref","unstructured":"Lamping J, Rao R, Pirolli P. 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