A. Sheffer, E. de Sturler, Parameterization of faceted surfaces for meshing using angle based flattening, Engineering with Computers 17 (3) (2001) 326--337. Home/Search Document Not in Database Summary Related Articles Check |
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Bounded-distortion Piecewise Mesh Parameterization - Sorkine, Cohen-Or.. (2002) (11 citations) (Correct)
....on the surface, which have higher priority and are less distorted in the parameterization. Haker et al. 6] propose an interesting method to embed a closed surface onto a sphere by computing a conformal mapping which preserves angles of the mesh triangles. Another work by Sheffer and de Sturler [15] also concentrates on preserving angles of the mesh while mapping it onto the 2D plane. The mapping is defined in terms of the angles only, and an optimal solution is proven to exist. However, these methods still impose high distortion on highly curved surfaces and may cause global ....
....to eliminate them, adding to the computational cost of the solution. A recent work by Zigelman et al. 21] analytically finds an embedding of an open mesh in the plane by a multi dimensional scaling (MDS) method that optimally preserves the geodesic distances between mesh vertices. As in [9, 15], this approach does not require forcing the mapping of the surface boundary, which allows better parameterizations to be generated. Like other global optimizationbased techniques, this method is computationally expensive and does not guarantee self intersections. Bennis et al. 1] propose a ....
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Alla Sheffer and Eric de Sturler. Parameterization of faceted surfaces for meshing using angle based flattening. Engineering with Computers, 17(3):326--337, 2001.
Fundamentals of Spherical Parameterization for 3D Meshes - Gotsman, Gu, Sheffer (2003) (3 citations) Self-citation (Sheffer) (Correct)
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A. Sheffer and E. de Sturler. Parameterization of faceted surfaces for meshing using angle based flattening, Engineering with Computers, 17(3):326-337, 2001.
Preconditioners For Indefinite Linear Systems.. - Liesen, de.. (2001) (1 citation) Self-citation (She) (Correct)
....the threedimensional surface, while satisfying a set of constraints on the angles that ensure the validity of the at mesh. The solution of a constrained minimization problem may be expensive, and in our earlier papers we did not concentrate on this aspect. We did introduce iterative solvers in [20], which will be necessary for solving large sparse linear systems in the optimization algorithm for large problems. In this paper we focus on fast methods to solve the linear systems arising in the optimization algorithm. We will discuss the algorithm in more detail later. It turns out that only a ....
....the optimization algorithm for large problems. In this paper we focus on fast methods to solve the linear systems arising in the optimization algorithm. We will discuss the algorithm in more detail later. It turns out that only a small number of nonlinear iterations are necessary to converge; see [19, 20]. In most of these nonlinear steps the convergence of the iterative solver is very rapid. However, for some problems in a few intermediate nonlinear steps the linear solver stagnates or converges very slowly. Hence, these iterations dominate the overall cost of the nonlinear iteration. We will ....
[Article contains additional citation context not shown here]
Alla She er and Eric de Sturler. Parameterization of faceted surfaces for meshing using angle based attening. Engineering with Computers (Springer). accepted.
Efficient Computation Of Planar Triangulations - Liesen, de Sturler, Sheffer.. Self-citation (Sheffer De sturler) (Correct)
....the three dimensional surface, while satisfying a set of constraints on the angles that ensure the validity of the flat mesh. The solution of a constrained minimization problem may be expensive, and in our earlier papers we did not concentrate on this aspect. We did introduce iterative solvers in [20], which will be necessary for solving large sparse linear systems in the optimization algorithm for large problems. In this paper we focus on fast methods to solve the linear systems arising in the optimization algorithm. We will discuss the algorithm in more detail later. It turns out that only a ....
....the optimization algorithm for large problems. In this paper we focus on fast methods to solve the linear systems arising in the optimization algorithm. We will discuss the algorithm in more detail later. It turns out that only a small number of nonlinear iterations are necessary to converge; see [19, 20]. In most of these nonlinear steps the convergence of the iterative solver is very rapid. However, for some problems in a few intermediate nonlinear steps the linear solver stagnates or converges very slowly. Hence, these iterations dominate the overall cost of the nonlinear iteration. We will ....
[Article contains additional citation context not shown here]
Alla Sheffer and Eric de Sturler. Parameterization of faceted surfaces for meshing using angle based flattening. Engineering with Computers (Springer). accepted.
Axioms and Variational Problems in Surface - Parameterization Ulrich Clarenz (Correct)
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A. Sheffer, E. de Sturler, Parameterization of faceted surfaces for meshing using angle based flattening, Engineering with Computers 17 (3) (2001) 326--337.
An Automatic 3D Texturing Framework - Rupert Paget Swiss (2005) (Correct)
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A. Sheffer and E. de Sturler. Parameterization of faceted surfaces for meshing using angle based flattening. Engineering with Computers, 17(3):326--337, 2000.
A Framework for Coherent Texturing in Surgical Simulators - Paget, Harders, Szekely (2005) (Correct)
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Alla She#er and Eric de Sturler. Parameterization of faceted surfaces for meshing using angle based flattening. Engineering with Computers, 17(3):326--337, 2000.
Axioms and Variational Problems in Surface Parameterization - Clarenz, Litke, Rumpf (Correct)
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A. Sheffer, E. de Sturler, Parameterization of faceted surfaces for meshing using angle based flattening, Engineering with Computers 17 (3) (2001) 326--337.
RealReflect - Real-time Visualization of Complex.. - Klein, Meseth.. (2003) (Correct)
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Alla Sheffer and Eric de Sturler. Parameterization of faceted surfaces for meshing using angle-based flattening. Engineering with Computers, 17(3):326--337, 2001. 5
Genus Zero Surface Conformal Mapping and Its.. - Gu, Wang, Chan.. (2004) (Correct)
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A. Sheffer and E. de Sturler, "Parameterization of faceted surfaces for meshing using angle-based flattening," in Engineering with Computers, vol. 17, 2001, pp. 326--337.
Genus Zero Surface Conformal Mapping and Its.. - Gu, Wang, Chan.. (2004) (Correct)
No context found.
A. Sheffer and E. de Sturler, "Parameterization of faceted surfaces for meshing using angle-based flattening," in Engineering with Computers, vol. 17, 2001, pp. 326--337.
Parametrization for Surfaces with Arbitrary Topologies - Gu (2002) (Correct)
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Sheffer, A., and Sturler, E. Parameterization of faceted surfaces for meshing using angle-based flattening. vol. 17, pp. 326--337.
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