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Tetrahedral element shape optimization via the jacobian determinant and condition number
 IN PROCEEDINGS OF THE 8TH INTERNATIONAL MESHING ROUNDTABLE
, 1999
"... We present a new shape measure for tetrahedral elements that is optimal in the sense that it gives the distance of a tetrahedron from the set of inverted elements. This measure is constructed from the condition number of the linear transformation between a unit equilateral tetrahedron and any tetra ..."
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Cited by 45 (6 self)
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We present a new shape measure for tetrahedral elements that is optimal in the sense that it gives the distance of a tetrahedron from the set of inverted elements. This measure is constructed from the condition number of the linear transformation between a unit equilateral tetrahedron and any
Tetrahedral Element Shape Optimization via the Jacobian Determinant and Condition Number
 in Proceedings of the 8th International Meshing Roundtable
, 1999
"... . We present a new shape measure for tetrahedral elements that is optimal in the sense that it gives the distance of a tetrahedron from the set of inverted elements. This measure is constructed from the condition number of the linear transformation between a unit equilateral tetrahedron and any tetr ..."
Abstract
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. We present a new shape measure for tetrahedral elements that is optimal in the sense that it gives the distance of a tetrahedron from the set of inverted elements. This measure is constructed from the condition number of the linear transformation between a unit equilateral tetrahedron and any
New tight frames of curvelets and optimal representations of objects with piecewise C² singularities
 COMM. ON PURE AND APPL. MATH
, 2002
"... This paper introduces new tight frames of curvelets to address the problem of finding optimally sparse representations of objects with discontinuities along C2 edges. Conceptually, the curvelet transform is a multiscale pyramid with many directions and positions at each length scale, and needleshap ..."
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Cited by 429 (21 self)
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This paper introduces new tight frames of curvelets to address the problem of finding optimally sparse representations of objects with discontinuities along C2 edges. Conceptually, the curvelet transform is a multiscale pyramid with many directions and positions at each length scale, and needleshaped
Tetrahedral Mesh Improvement Using Swapping and Smoothing
 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
, 1997
"... Automatic mesh generation and adaptive refinement methods for complex threedimensional domains have proven to be very successful tools for the efficient solution of complex applications problems. These methods can, however, produce poorly shaped elements that cause the numerical solution to be less ..."
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Cited by 110 (12 self)
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to be less accurate and more difficult to compute. Fortunately, the shape of the elements can be improved through several mechanisms, including face and edgeswapping techniques, which change local connectivity, and optimizationbased mesh smoothing methods, which adjust mesh point location. We consider
Quality Encoding for Tetrahedral Mesh Optimization
, 2009
"... We define quality differential coordinates (QDC) for pervertex encoding of the quality of a tetrahedral mesh. QDC measures the deviation of a mesh vertex from a position which maximizes the combined quality of the set of tetrahedra incident at that vertex. Our formulation allows the incorporation o ..."
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Cited by 3 (1 self)
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of different choices of element quality metrics into QDC construction to penalize badly shaped and inverted tetrahedra. We develop an algorithm for tetrahedral mesh optimization through energy minimization driven by QDC. The variational problem is solved efficiently and robustly using gradient flow based on a
Quality Encoding for Tetrahedral Mesh Optimization
"... We define quality differential coordinates (QDC) for pervertex encoding of the quality of a tetrahedral mesh. QDC measures the deviation of a mesh vertex from a position which maximizes the combined quality of the set of tetrahedra incident at that vertex. Our formulation allows the incorporation o ..."
Abstract
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of different choices of element quality metrics into QDC construction to penalize badly shaped and inverted tetrahedra. We develop an algorithm for tetrahedral mesh optimization through energy minimization driven by QDC. The variational problem is solved efficiently and robustly using gradient flow based on a
Optimal Configuration of Tetrahedral Spacecraft Formations,” The
 Journal of the Astronautical Sciences
"... The problem of determining minimumfuel maneuver sequences for a fourspacecraft formation is considered. The objective of this paper is to find fueloptimal spacecraft trajectories that transfer four spacecraft from an initial parking orbit to a desired terminal reference orbit while satisfying a s ..."
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Cited by 11 (11 self)
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The problem of determining minimumfuel maneuver sequences for a fourspacecraft formation is considered. The objective of this paper is to find fueloptimal spacecraft trajectories that transfer four spacecraft from an initial parking orbit to a desired terminal reference orbit while satisfying a
Mesh Generation And Optimal Triangulation
, 1992
"... We survey the computational geometry relevant to finite element mesh generation. We especially focus on optimal triangulations of geometric domains in two and threedimensions. An optimal triangulation is a partition of the domain into triangles or tetrahedra, that is best according to some cri ..."
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Cited by 214 (7 self)
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We survey the computational geometry relevant to finite element mesh generation. We especially focus on optimal triangulations of geometric domains in two and threedimensions. An optimal triangulation is a partition of the domain into triangles or tetrahedra, that is best according to some
Results 1  10
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483,165