Application of Voronoi and Delaunay Diagrams in Gravimetric Geoid Determination

Santos, Newton Pereira dos; Escobar, Iris Pereira

doi:10.1109/isvd.2006.11

Cited by 2 publications

(1 citation statement)

References 18 publications

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“…Currently, the main 3D reconstruction techniques based on point clouds and depth images that have been developed are the Voronoi diagrams [1], the Delaunay triangulation, [2] and the Convex Hull [3]. One interesting approach for reconstruction of 3D objects are the algorithms based on Computational Geometry, such as the convex hull method, because these can generate polygonal mesh models instead of using large number of points of the object surface, as described in [4].…”

Section: Introductionmentioning

confidence: 99%

Facial Modeling for Interactive 3D Reconstruction in Web Applications

Silva

Costa

Melo

et al. 2014

Proceedings of the 20th Brazilian Symposium on Multimedia and the Web

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A recent kind of Web application incorporates three-dimensional image content, which allows interactivity and new visual experiences to the users. However, rendering 3D video content has been a research challenge due to modeling complexity and visual content definition. This paper proposes an interactive Web application that shows 3D modeled human faces that were captured by depth cameras, and using HTML5 and JavaScript resources for 3D reconstruction and interactivity. The 3D modeling process is realized with a triangulation algorithm called Convex Hull. We propose a method that divides the model into four parts in order to achieve improvements on visual details around the concave areas. The final model mesh is saved into an XML file, which is readable by any Web browser. The implemented viewer resulted in image visual enhancements, simple synchronized integration of video and audio content, and friendly interactivity capabilities.

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Section: Introductionmentioning

confidence: 99%

Facial Modeling for Interactive 3D Reconstruction in Web Applications

Silva

Costa

Melo

et al. 2014

Proceedings of the 20th Brazilian Symposium on Multimedia and the Web

View full text Add to dashboard Cite

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Use of EGM08 model and shuttle radar topography mission data for geoid computation in the State of Rio de Janeiro, Brazil: A case study with Voronoi/Delaunay discretisations

Santos

Escobar

2010

Stud Geophys Geod

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The EGM08 geopotential model complete to degree and order 2159 was used in a remove-compute-restore (RCR) method for the geoid computation in the State of Rio de Janeiro, Brazil. Terrain and indirect effect corrections were computed using a 6-arcsec resolution DTE, derived from the TOPODATA Project (Shuttle Radar Topography Mission data) raised by the National Institute for Space Research. INPE, Brazil. We applied Voronoi/Delaunay discretisations for discrete Stokes integration. In these schemes, target area is partitioned into polygons/triangles, respectively, and the computation is carried out by point-wise numerical integration and no gridding is mandatory. For both procedures, the cells were produced using either observed gravity data combined with gridded Bouguer derived information. Particularly in Delaunay scheme, as the gravity anomalies are interpolated into the triangular cells, and geoid undulations are computed for their vertices, Stokes function singularity was gone. Externally estimated errors resulting from a comparison with GPS/leveling data were presented for both the schemes and classical ones, as well as for the EGM08 undulations. They yielded RMS differences equal to 0.105 m, 0.110 m, 0.110 m, 0.115 m and 0.228 m, respectively, for Voronoi, Delaunay, computed between 32 GPS/leveling points. K e y w o r d s : Gravimetric geoid, Earth gravitational model, high resolution DTE, Voronoi and Delaunay tesselations

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Application of Voronoi and Delaunay Diagrams in Gravimetric Geoid Determination

Cited by 2 publications

References 18 publications

Facial Modeling for Interactive 3D Reconstruction in Web Applications

Facial Modeling for Interactive 3D Reconstruction in Web Applications

Use of EGM08 model and shuttle radar topography mission data for geoid computation in the State of Rio de Janeiro, Brazil: A case study with Voronoi/Delaunay discretisations

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