[ { "id": "Kopp-1998-IDD", "type_id": "techreport", "tu_id": null, "repositum_id": null, "title": "Interleaved Dimension Decomposition", "date": "1998-01", "abstract": "Wavelets in 2D or higher dimensions are often\ngenerated by a decomposition scheme from 1D wavelets. There are two\ndecomposition schemes called the standard and the nonstandard\ndecomposition which are used in most applications of higher\ndimensional wavelets. This paper introduces a new decomposition\nmethod, the interleaved dimension decomposition and compares its\nadvantages and disadvantages with the other decompositions. Based\non the properties of the interleaved dimension decomposition,\napplications to computer graphics are sketched including\nmultiresolution painting, morphing in 2D and 3D, and image\ncompression.", "authors_et_al": false, "substitute": null, "main_image": null, "sync_repositum_override": null, "repositum_presentation_id": null, "authors": [ { "id": 413, "drupal_id": 120, "orcid_id": null, "website": "https://www.cg.tuwien.ac.at/staff/ManfredKopp", "firstname": "Manfred", "lastname": "Kopp", "searchname": "Manfred Kopp", "is_teacher": false, "name": "Manfred Kopp", "publications": [ "Kopp-1994-EFC", "Kopp-1994-EMF", "kopp-1994-xor", "kopp-1995-eff", "Kopp-1995-LWB", "Kopp-1997-MRM", "Kopp-1998-IDD", "Kopp-1998-Int", "neumann-1994-new", "neumann-1995-anew", "purgathofer-1994-rad" ], "publications_first": [ "Kopp-1994-EFC", "Kopp-1994-EMF", "kopp-1994-xor", "kopp-1995-eff", "Kopp-1995-LWB", "Kopp-1997-MRM", "Kopp-1998-IDD" ], "project_leader": [], "publication_field": [], "url": 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destination\nimage. This gives the animator the possibility to introduce a disparity\nbetween the morphing of global and detail features that can lead to\ninteresting new effects that are not achievable with traditional methods.\nThe calculation of an intermediate image in conventional image\nmorphing algorithms is done in three steps: firstly the determination\nof feature correspondence and of an intermediate feature geometry,\nsecondly the warping of the source and the destination images to\nintermediate images that match the feature geometry, and finally the\nblending of the two warped images. The proposed algorithm alters the\nthird step by making the blending dependent on the multi-resolution\nlevels using a new specialized 2D wavelet transformation.", "authors_et_al": false, "substitute": null, "main_image": null, "sync_repositum_override": null, "repositum_presentation_id": null, "authors": [ { "id": 413, "drupal_id": 120, "orcid_id": null, "website": "https://www.cg.tuwien.ac.at/staff/ManfredKopp", "firstname": "Manfred", "lastname": "Kopp", "searchname": "Manfred Kopp", "is_teacher": false, "name": "Manfred Kopp", "publications": [ "Kopp-1994-EFC", "Kopp-1994-EMF", "kopp-1994-xor", "kopp-1995-eff", "Kopp-1995-LWB", "Kopp-1997-MRM", "Kopp-1998-IDD", "Kopp-1998-Int", "neumann-1994-new", "neumann-1995-anew", "purgathofer-1994-rad" ], "publications_first": [ "Kopp-1994-EFC", "Kopp-1994-EMF", "kopp-1994-xor", "kopp-1995-eff", "Kopp-1995-LWB", "Kopp-1997-MRM", "Kopp-1998-IDD" ], "project_leader": [], "publication_field": [], "url": 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The adaptive\n2D decomposition selects 2D wavelet functions based on the\ncompression of the coefficients, but needs only the same\nnumber of 1D filter operations as the rectangular\ndecomposition for the compression and even less for the\ndecompression. Results for lossless image compression have\nshown improvements in the compression rate between 1% and 10%\ncompared to the square decomposition. 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This algorithm outperforms\ntraditional methods for kernels larger than or equal to 5x5\non machines based on RISC designs, where the time needed to\ncalculate an addition equals the time needed for a\nmultiplication. The algorithm is based on a decomposition of\nthe kernel matrix into several kernel matrices of decreasing\nsize, which can be computed very fast because of spatial\ncoherence. 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