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988 results on '"Farin, Gerald"'

6. Curves

Author

Farin, Gerald, primary and Hansford, Dianne, additional

Published
2021
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21. On Approximating Contours of the Piecewise Trilinear Interpolant Using Triangular Rational-Quadratic Bezier Patches

Author

Hamann, Bernd, Trotts, Isaac J., and Farin, Gerald

Subjects
Approximation, contour, isosurface, marching cubes, rational Bézier curve, rational Bézier surface, triangular patch, triangulation, trilinear interpolation, visualization
Abstract

Given a three-dimensional (3D) array of function values Fijk on a rectilinear grid, the marching cubes(MC) method is the most common technique used for computing a surface triangulation T approximating a contour (isosurface) F(x,y,z)=T. We describe the construction of a Co-continuous surface consisting of rational-quadratic surface patches interpolating the triangles in T. We determine the Bezier control points of a single rational-quadratic surface patch based on the coordinates of the vertices of the underlying triangle and the gradients and Hessians associated with the vertices.

Published
1997

22. Current trends in geometric modeling and selected computational applications

Author

Farin, Gerald and Hamann, Bernd

Abstract

Most numerical simulations required techniques for the representation and munipulation of complex, three-dimensional geometries. This paper provides a short historical survey and an overview of state-of-the-art geometric modeling techniques and research issues, and dicusses a few selected applications of geometric modeling in computational areas.

Published
1997

23. NURBS and Grid Generation

Author

Barnhill, R. E., Farin, Gerald, and Hamann, Bernd

Subjects
B-spline, NURBS, smoothing, structured grid generation, surface approximation, unstructured grid generation
Abstract

This paper provides a basic overview of NURBS and their application to numerical grid generation. Curve/surface smoothing, accelerated grid generation, and the use of NURBS in a practical grid generation system are discussed.

Published
1995

24. Adaptive Subdivision Schemes for Triangular Meshes

Author

Amresh, Ashish, Farin, Gerald, Razdan, Anshuman, Farin, Gerald, editor, Hege, Hans-Christian, editor, Hoffman, David, editor, Johnson, Christopher R., editor, Polthier, Konrad, editor, Hamann, Bernd, editor, and Hagen, Hans, editor

Published
2003
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25. Shape Feature Extraction

Author

Stylianou, Georgios, Farin, Gerald, Farin, Gerald, editor, Hege, Hans-Christian, editor, Hoffman, David, editor, Johnson, Christopher R., editor, Polthier, Konrad, editor, Hamann, Bernd, editor, and Hagen, Hans, editor

Published
2003
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43. Discrete Harmonic Functions from Local Coordinates

Author

Bobach, Tom, Farin, Gerald, Hansford, Dianne, Umlauf, Georg, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Martin, Ralph, editor, Sabin, Malcolm, editor, and Winkler, Joab, editor

Published
2007
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