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Title: | Simplification and multi-resolution representations | Authors: | Čomić, Lidija De Floriani L. Magillo P. Iuricich F. |
Issue Date: | 1-Jan-2014 | Journal: | SpringerBriefs in Computer Science | Abstract: | © The Author(s) 2014. Simplification of Morse and Morse-Smale complexes is an important issue to eliminate noise and reduce over-segmentation. Moreover, different users may have different requirements in terms of degree of simplification, which usually vary over time and location within the field domain. Thus, a multi-resolution representation of morphology is critical for interactive analysis and exploration of data. In this chapter, we first describe and compare simplification operators on Morse functions and Morse and Morse-Smale complexes (Sect. 6.1). We then present multi-resolution models for the morphology of scalar fields (Sect. 6.2), and we specify two models in more detail: the first one providing a multi-resolution description of the combinatorial structure of Morse and Morse Smale complexes in arbitrary dimensions, and the second one addressing the problem of coupling a multi-resolution representation of geometry and of morphology in 2D. | URI: | https://open.uns.ac.rs/handle/123456789/2550 | ISSN: | 21915768 | DOI: | 10.1007/978-1-4939-2149-2_6 |
Appears in Collections: | FTN Publikacije/Publications |
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