Curve implicitization using moving lines
WebFeb 1, 2002 · Curve implicitization using moving lines. Computer Aided Geometric Design, 11 (1994), pp. 687-706. View PDF View article View in Scopus Google Scholar. Zhang et al., 1999. M. Zhang, E. Chionh, R. Goldman. On a relationship between the moving line and moving conic coefficient matrices. WebSep 1, 2024 · Highlights • An efficient algorithm of computing the intersections of two rational surfaces is provided based on the using of a new Dixon matrix presentation. ... Sederberg T.W., Chen F., Implicitization using moving curves and surfaces, in: Proceedings of the 22nd annual conference on computer graphics and interactive techniques, Association ...
Curve implicitization using moving lines
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WebHighlights • A constructional method for proving the validity of implicitization of rational surfaces is provided. • A rational surface with base points has μ-basis. • An effective algorithm for co... WebA moving curve F(x;y;t) is said to follow a rational curve ... present some of the moving conics reduce to moving lines. °c 1997 Academic Press Limited 1. Introduction ... of a rational curve, implicitization methods based on resultants lead to determinants of rather large matrices. We would like to flnd a more compact representation for the
WebFeb 1, 2024 · The study of moving lines, especially the μ-basis, has recently led to an efficient method, called the moving line method, for computing the implicit equation of a rational curve and . http://web.mit.edu/hyperbook/Patrikalakis-Maekawa-Cho/node68.html
WebDavid A. Cox WebMar 31, 2024 · This time, only one element can be eliminated in the last step, and thus, the bottom two rows express degree and degree moving lines. Implicitization We can …
WebCurve implicitization using moving lines. Computing methodologies. Computer graphics. Shape modeling. Parametric curve and surface models. Volumetric models. Theory of …
WebJun 1, 2002 · Curve implicitization using moving lines. T. Sederberg, Takafumi Saito, Dongxu Qi, Krzysztof S. Klimaszewski; Mathematics. Comput. Aided Geom. Des. ... Implicitization using moving conics yields more compact representations for the implicit equation than standard resultant techniques, and these compressed expressions may … trophy oaks in poteet txWebJan 12, 2024 · Sederberg T W, Saito T, Qi D, et al., Curve implicitization using moving lines, Computer Aided Geometric Design, 1994, 11(6): 687–706. Article MathSciNet Google Scholar Sederberg T W and Chen F L, Implicitization using moving curves and surfaces, Proceedings of SIGGRAPH, 1995, 301–308. Song N and Goldman R, μ ... trophy oakWebThe method of moving lines for implicitization (see [11]) uses a family of lines that follow the curve to set up an overdetermined linear system. A determinant of the matrix of this linear system is the implicit equation of the curve. It is possible to compute a symbolic determinant without developing it, simply by trophy oaksWebMar 21, 2024 · Sederberg T W and Chen F, Implicitization using moving curves and surfaces, Proceedings of SIGGRAPH 95, Computer Graphics Proceedings, Annual Conference Series, ACM, ... Zhang M, Chionh E W, and Goldman R, On a relationship between the moving line and moving conic coefficient matrices, Computer Aided … trophy object showWebSep 15, 1995 · Implicitization using moving curves and surfaces Computing methodologies Computer graphics Shape modeling … trophy of divine lightWebJan 1, 2014 · We introduce and study a new implicit representation of rational Bezier curves and surfaces in the 3-dimensional space. Given such a curve or surface, this … trophy oaks poteetWebDOI: 10.1016/0167-8396(94)90059-0 Corpus ID: 35475239; Curve implicitization using moving lines @article{Sederberg1994CurveIU, title={Curve implicitization using moving lines}, author={Thomas W. Sederberg and Takafumi Saito and Dongxu Qi and Krzysztof S. Klimaszewski}, journal={Comput. trophy oars