Delaunay refinement algorithms for triangular mesh generation

Shewchuk, Jonathan Richard

doi:10.1016/s0925-7721(01)00047-5

Cited by 990 publications

(617 citation statements)

References 15 publications

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“…TRIANGLE: Two-Dimensional Quality Mesh Generator and Delaunay Triangulator [Shewchuk, 1996[Shewchuk, , 2001]. This package is used for creating unstructured isotropic twodimensional triangular meshes.…”

Section: Discussionmentioning

confidence: 99%

Dynamically and Observationally Constrained Estimates of Water-Mass Distributions and Ages in the Global Ocean

DeVries

Primeau

2011

Journal of Physical Oceanography

180

202

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[1] Ice flow models used to project the mass balance of ice sheets in Greenland and Antarctica usually rely on the Shallow Ice Approximation (SIA) and the Shallow-Shelf Approximation (SSA), sometimes combined into so-called "hybrid" models. Such models, while computationally efficient, are based on a simplified set of physical assumptions about the mechanical regime of the ice flow, which does not uniformly apply everywhere on the ice sheet/ice shelf system, especially near grounding lines, where rapid changes are taking place at present. Here, we present a new thermomechanical finite element model of ice flow named ISSM (Ice Sheet System Model) that includes higher-order stresses, high spatial resolution capability and data assimilation techniques to better capture ice dynamics and produce realistic simulations of ice sheet flow at the continental scale. ISSM includes several approximations of the momentum balance equations, ranging from the two-dimensional SSA to the three-dimensional full-Stokes formulation. It also relies on a massively parallelized architecture and state-of-the-art scalable tools. ISSM employs data assimilation techniques, at all levels of approximation of the momentum balance equations, to infer basal drag at the ice-bed interface from satellite radar interferometry-derived observations of ice motion. Following a validation of ISSM with standard benchmarks, we present a demonstration of its capability in the case of the Greenland Ice Sheet. We show ISSM is able to simulate the ice flow of an entire ice sheet realistically at a high spatial resolution, with higher-order physics, thereby providing a pathway for improving projections of ice sheet evolution in a warming climate.Citation: Larour, E., H. Seroussi, M. Morlighem, and E. Rignot (2012), Continental scale, high order, high spatial resolution, ice sheet modeling using the Ice Sheet System Model (ISSM),

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Section: Discussionmentioning

confidence: 99%

Dynamically and Observationally Constrained Estimates of Water-Mass Distributions and Ages in the Global Ocean

DeVries

Primeau

2011

Journal of Physical Oceanography

180

202

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“…The proposed method was implemented in C language, OpenCV library support, OpenGL library support, and Triangle [10] program for applying the constrained Delaunay Triangulation during mesh generation. Size of the images used is 640 × 480.…”

Section: Resultsmentioning

confidence: 99%

Color Segmentation Based Depth Adjustment for 3D Model Reconstruction from a Single Input Image

Sintunata¹,

Aoki²

2016

IJCTE

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Abstract-In order to create a good 3D model reconstruction from an image, the shape information of the object of interest is needed. One such information that yields the shape information of an object from images is the shading information. This information can further be utilized using the Shape from Shading method. Unfortunately this method has some drawbacks, namely the depth ambiguity problems. Two points in the image which have the same intensity will have the same depth, although in reality they have different depth. Color also plays a huge effect to this ambiguity. Some color generates higher intensity than the others. This makes the system generate an incorrect reconstruction of the image. We propose a color segmentation based depth adjustment to overcome this problem. First we cluster the image into color clusters. Based on this color cluster we will adjust the depth of vertices belonging to the higher intensity cluster accordingly. The proposed method can reduce the effect of these depth ambiguity problems.Index Terms-3D model reconstruction, shape from shading, color segmentation.

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“…For these species, we propose an alternative method for computing neutral bending axes by meshing the crosssection with internal points of a regular spacing. The mesh can then be used to compute a Delaunay triangulation for the combined internal and external section points (Shewchuk 2002). Each element in the mesh is assigned a weighted E based on its distance from the section centroid, or alternatively, the distance to the closest exterior point of the section.…”

Section: Methodological Solution To Determine Sensor Placementmentioning

confidence: 99%

Instrumental method for reducing error in compression-derived measurements of rainfall interception for individual trees

Stan

Jarvis²,

Levia

et al. 2011

Hydrological Sciences Journal

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Delaunay refinement algorithms for triangular mesh generation

Cited by 990 publications

References 15 publications

Dynamically and Observationally Constrained Estimates of Water-Mass Distributions and Ages in the Global Ocean

Dynamically and Observationally Constrained Estimates of Water-Mass Distributions and Ages in the Global Ocean

Color Segmentation Based Depth Adjustment for 3D Model Reconstruction from a Single Input Image

Instrumental method for reducing error in compression-derived measurements of rainfall interception for individual trees

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