A Multi-resolution Representation for Terrain Morphology

Danovaro, Emanuele; Floriani, Leila De; Papaleo, Laura; Vitali, Maria

doi:10.1007/11863939_3

Cited by 13 publications

(11 citation statements)

References 20 publications

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“…Note that, when applied to terrains and when the elevation function is a Morse function, this corresponds to a hierarchy of Morse unstable 2-cells, and thus to a hierarchical structure imposed over the stable Morse complex. The other approaches proposed in the literature are based on a hierarchical representation of the critical net, generated through the simplification operations mentioned above [2,4]. All these techniques consider the critical net at full resolution and generate a sequence of simplified representations of the complex by applying a simplification operation.…”

Section: Related Workmentioning

confidence: 99%

Multi-resolution Morse-Smale Complexes for Terrain Modeling

Danovaro

Floriani

Vitali

2007

14th International Conference on Image Analysis and Processing (ICIAP 2007)

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We propose a hierarchical representation for the morphology of a terrain. The basis of our morphological model is a decomposition of the terrain model, composed of the stable and unstable manifolds defined by its critical points, called a Morse-Smale complex. We propose a compact dual representation of the Morse-Smale complex and we define new simplification operators of the terrain morphology, which act on such representation. Based on these operators, we define a hierarchical morphology-based representation for a terrain, that we call a Multi-resolution Morse-Smale Complex (MMSC). Results from our implementation of the MMSC are shown.

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Section: Related Workmentioning

confidence: 99%

Multi-resolution Morse-Smale Complexes for Terrain Modeling

Danovaro

Floriani

Vitali

2007

14th International Conference on Image Analysis and Processing (ICIAP 2007)

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“…The definition of landforms depends on the scale of observation and the interpretation of the user [9]. Existing work relates to the identification of specific landforms [4], the definition of an ontology to describe these landforms [24], or the representation of terrain morphology of a DEM at multiple resolutions [8].…”

Section: Multi Level Description Of Landscapesmentioning

confidence: 99%

“…Most of the research on feature characterisation has been concerned with the analysis of digital terrain models [4,8] as these provide more accurate local information (slope, aspect, curvature). Existing work on terrain feature identification from a contour map utilises contour trees representing spatial relationships between contour lines based on their inclusion.…”

Section: Introductionmentioning

confidence: 99%

Multi-level representation of terrain features on a contour map

Guilbert

2012

Geoinformatica

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Contour lines are important for quantitatively displaying relief and identifying morphometric features on a map. Contour trees are often used to represent spatial relationships between contours and assist the user in analysing the terrain. However, automatic analysis from the contour tree is still limited as features identified on a map by sets of contours are not only characterised by local relationships between contours but also by relationships with other features at different levels of representation. In this paper, a new method based on adjacency and inclusion relationships between regions defined by sets of contours is presented. The method extracts terrain features and stores them in a feature tree providing a description of the landscape at multiple levels of detail. The method is applied to terrain analysis and generalisation of a contour map by selecting the most relevant features according to the purpose of the map. Experimental results are presented and discussed.

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“…Multi-resolution TINs can be constructed using various methods, for example, the line simplification method by Douglas and Peucker applied to terrain (Fei and He, 2009), or techniques inspired by Morse functions (Danovaro et al, 2006). Besides terrain visualization, multi-resolution terrain is also applied to filtering LIDAR data (Silván-Cárdenas and Wang, 2006).…”

Section: Multi-resolution Terrainmentioning

confidence: 99%

Terrain Generalization with Multi-scale Pyramids Constrained by Curvature

Jenny

Hurni

2011

Cartography and Geographic Information Science

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ABSTRACT:This paper presents a method for terrain generalization using Laplacian pyramids. The method pre-processes digital terrain for generating cartographically generalized 3D maps. Map authors can attenuated or amplify selected frequency bands of the terrain with a graphical interface imitating an audio equalizer. Ridge lines and valley lines are localized by curvature indices, and their characteristic shapes are preserved or emphasized using additional sets of equalizer controls. Frequency bands are adjusted separately for the foreground and the background to remove visually disturbing terrain detail in the background. This is relevant for 3D maps in central perspective projection considerably compressing distant terrain features. The proposed generalization method was implemented in Terrain Equalizer, a free and open-source application providing a graphical interface with interactive 3D previews (available at http://www.terraincartography.com/). Using this application, disturbing high frequency details can be easily removed and major mountain forms can be accentuated. The level of generalization can be adjusted seamlessly from the foreground to the background of the 3D map. Topographic break lines, such as ridge or valley lines, are successfully preserved, which is important for conveying the characteristic shape of a generalized terrain.

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A Multi-resolution Representation for Terrain Morphology

Cited by 13 publications

References 20 publications

Multi-resolution Morse-Smale Complexes for Terrain Modeling

Multi-resolution Morse-Smale Complexes for Terrain Modeling

Multi-level representation of terrain features on a contour map

Terrain Generalization with Multi-scale Pyramids Constrained by Curvature

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