Academic literature on the topic 'Spline theory Computer-aided design. Computer graphics'

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Journal articles on the topic "Spline theory Computer-aided design. Computer graphics"

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Ju¨ttler, B., and M. G. Wagner. "Computer-Aided Design With Spatial Rational B-Spline Motions." Journal of Mechanical Design 118, no. 2 (1996): 193–201. http://dx.doi.org/10.1115/1.2826869.

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Using rational motions it is possible to apply many fundamental B-spline techniques to the design of motions. The present paper summarizes the basic theory of rational motions and introduces a linear control structure for piecewise rational motions suitable for geometry processing. Moreover it provides algorithms for the calculation of the surface which is swept out by a moving polyhedron and examines interpolation techniques. The methods presented in this paper can be applied to various problems in computer animation as well as in robotics.
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Ravani, B., and J. W. Wang. "Computer Aided Geometric Design of Line Constructs." Journal of Mechanical Design 113, no. 4 (1991): 363–71. http://dx.doi.org/10.1115/1.2912791.

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This paper develops a mathematical foundation for Computer Aided Design (CAD) of sculptured shapes based on line geometry. First, a new representation is presented for a line based on Plu¨cker coordinates that would allow specification of a line segment (rather than an infinite line) in an elegant manner and suitable for computational purposes. Then, methods are presented for geometric design of shape patches (here referred to as line constructs) by interpolating or approximating a set of control lines (rather than control points) using ruled surfaces, line congruences, and line complexes. The
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Ge, Q. Jeffrey, and P. M. Larochelle. "Algebraic Motion Approximation With NURBS Motions and Its Application to Spherical Mechanism Synthesis." Journal of Mechanical Design 121, no. 4 (1999): 529–32. http://dx.doi.org/10.1115/1.2829493.

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In this work we bring together classical mechanism theory with recent works in the area of Computer Aided Geometric Design (CAGD) of rational motions as well as curve approximation techniques in CAGD to study the problem of mechanism motion approximation from a computational geometric viewpoint. We present a framework for approximating algebraic motions of spherical mechanisms with rational B-Spline spherical motions. Algebraic spherical motions and rational B-spline spherical motions are represented as algebraic curves and rational B-Spline curves in the space of quaternions (or the image spa
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Bodduluri, R. M. C., and B. Ravani. "Geometric Design and Fabrication of Developable Bezier and B-spline Surfaces." Journal of Mechanical Design 116, no. 4 (1994): 1042–48. http://dx.doi.org/10.1115/1.2919485.

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In this paper we study Computer Aided Geometric Design (CAGD) and Manufacturing (CAM) of developable surfaces. We develop a direct representation of developable surfaces in terms of plane geometry. It uses control planes to determine a surface which is a Bezier or a B-spline interpolation of the control planes. In the Bezier case, a de Casteljau type construction method is presented for geometric design of developable Bezier surfaces. In the B-spline case, de Boor type construction for the geometric design of the developable surface and Boehm type knot insertion algorithm are presented. In the
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WALTON, D. J. "Spiral Spline Curves for Highway Design." Computer-Aided Civil and Infrastructure Engineering 4, no. 2 (2008): 99–106. http://dx.doi.org/10.1111/j.1467-8667.1989.tb00012.x.

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Moroni, Giovanni, and Marco Rasella. "Application of Regression Spline to Reverse Modeling." Journal of Computing and Information Science in Engineering 7, no. 1 (2006): 95–101. http://dx.doi.org/10.1115/1.2424245.

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When dealing with inspection or reverse modeling, the problem of free-form curves and surfaces reconstruction has to be faced starting from a set of measured points. Because in point sampling the acquisition error is unavoidable, curves and surfaces fitting should be based on a rigorous diagnostic phase. We consider statistical regression analysis in which, treating error as a variable of the problem, we distinguish between the systematic behavior of measured points and noise in the reconstruction of curves and surfaces. The model we introduce for a regression based free-form reconstruction is
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Cotrina-Navau, J., N. Pla-Garcia, and M. Vigo-Anglada. "A Generic Approach to Free Form Surface Generation." Journal of Computing and Information Science in Engineering 2, no. 4 (2002): 294–301. http://dx.doi.org/10.1115/1.1559579.

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A theoretical approach to construct free form surfaces is presented. We develop the concepts that arise when a free form surface is generated by tracing a mesh, using differentiable manifold theory, and generalizing the B-spline scheme. This approach allows us to define a family of practical schemes. Four different applications of the generic approach are also presented in this paper.
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Wang, Yan. "Weighted Rational Quartic Spline Interpolation." Journal of Information and Computational Science 10, no. 9 (2013): 2651–58. http://dx.doi.org/10.12733/jics20101820.

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Hsieh, Chiu-Fan, and Yii-Wen Hwang. "Study on the High-Sealing of Roots Rotor With Variable Trochoid Ratio." Journal of Mechanical Design 129, no. 12 (2006): 1278–84. http://dx.doi.org/10.1115/1.2779897.

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Vacuum pump plays an important role in the vacuum system. In this paper, a new method is proposed to design the Roots rotor that was the trochoidal curve with variable trochoid ratio. The fifth-order polynomial and cubic spline functions are used to generate smoothly trochoid ratio functions and thus a regular addendum curve for Roots rotor will be generated. Based on the addendum curve, the tooth profile for the complete Roots rotor is derived by the gearing theory. In order to improve the sealing between the rotor tip and the chamber, a design procedure is also developed for roots rotor with
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McClarty, D. V. B., D. G. Fredlund, and S. L. Barbour. "Use of Spline Interpolation in Slope Stability Analysis." Computer-Aided Civil and Infrastructure Engineering 8, no. 6 (2008): 439–52. http://dx.doi.org/10.1111/j.1467-8667.1993.tb00228.x.

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Dissertations / Theses on the topic "Spline theory Computer-aided design. Computer graphics"

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Cardon, David L. "T-Spline Simplification." Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd1813.pdf.

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Ipson, Heather. "T-spline Merging." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd804.pdf.

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Myles, Ashish. "Linear programming approach to fitting splines through 3D channels." [Gainesville, Fla.] : University of Florida, 2004. http://purl.fcla.edu/fcla/etd/UFE0006260.

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Finnigan, Gordon Thomas. "Arbitrary Degree T-Splines." Diss., CLICK HERE for online access, 2008. http://contentdm.lib.byu.edu/ETD/image/etd2453.pdf.

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Freitas, Lucas Batista. "Modelagem geológica por simplóides de Bézier." [s.n.], 2010. http://repositorio.unicamp.br/jspui/handle/REPOSIP/275754.

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Orientador: Stolfi Jorge, Martin Tygel<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Computação<br>Made available in DSpace on 2018-08-18T10:11:18Z (GMT). No. of bitstreams: 1 Freitas_LucasBatista_D.pdf: 3567527 bytes, checksum: d7c6af3cd4ddab0e7eacc837ade4b106 (MD5) Previous issue date: 2010<br>Resumo: A exploração e monitoramento de um reservatório de petróleo ou gás natural exige conhecimento bastante detalhado das estruturas geológicas da região de interesse. A representação matemática e computacional desse conhecimento é um modelo geofísico. Nesta tese descrevemo
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Loop, Charles Teorell. "Generalized B-spline surfaces of arbitrary topological type /." Thesis, Connect to this title online; UW restricted, 1992. http://hdl.handle.net/1773/6888.

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Tjung, Jie Wen. "Projection, design, and representation of curves on B-spline surfaces /." This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-03042009-040805/.

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Tjung, Jie Wen. "Projection, design, and representation of curves on B-spline surfaces." Thesis, Virginia Tech, 1992. http://hdl.handle.net/10919/41412.

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Tang, Chi-Ming. "B-spline surface techniques for solid modeling : an application to computer-aided geometric design /." Online version of thesis, 1988. http://hdl.handle.net/1850/10216.

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Magoon, Jason. "Application of the B-spline collocation method to a geometrically non-linear beam problem /." Online version of thesis, 2010. http://hdl.handle.net/1850/11587.

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Books on the topic "Spline theory Computer-aided design. Computer graphics"

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1928-, Boehm Wolfgang, and Paluszny Marco 1950-, eds. Bézier and B-spline techniques. Springer, 2002.

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Bartels, Richard H. An introduction to splines for use in computer graphics and geometric modeling. M. Kaufmann Publishers, 1987.

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1942-, Tiller Wayne, ed. The NURBS book. 2nd ed. Springer, 1997.

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Piegl, Les A. The NURBS book. Springer, 1995.

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Prautzsch, Hartmut. Bézier and B-Spline Techniques. Springer Berlin Heidelberg, 2002.

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Thalmann, Nadia Magnenat. Computer Animation: Theory and Practice. Springer Japan, 1990.

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Magnenat-Thalmann, Nadia. Image Synthesis: Theory and Practice. Springer Japan, 1987.

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E, Farin Gerald, ed. NURBS: From projective geometry to practical use. 2nd ed. A.K. Peters, 1999.

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NURB curves and surfaces: From projective geometry to practical use. A.K. Peters, 1995.

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Stra€er, Wolfgang. Theory and Practice of Geometric Modeling. Springer Berlin Heidelberg, 1989.

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Conference papers on the topic "Spline theory Computer-aided design. Computer graphics"

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Zhang, Ting, Xingce Wang, Qianqian Jiang, Zhongke Wu, Mingquan Zhou, and Hock Soon Seah. "G2-Continuity Extension Algorithm for Disk B-Spline Curve." In 2013 International Conference on Computer-Aided Design and Computer Graphics (CAD/Graphics). IEEE, 2013. http://dx.doi.org/10.1109/cadgraphics.2013.73.

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Jiang, Qianqian, Zhongke Wu, Ting Zhang, Xingce Wang, Mingquan Zhou, and Hock Soon Seah. "G2-Continuity Blending of Ball B-Spline Curve Using Extension." In 2013 International Conference on Computer-Aided Design and Computer Graphics (CAD/Graphics). IEEE, 2013. http://dx.doi.org/10.1109/cadgraphics.2013.54.

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Wu, Xiaoqun, Yiyu Cai, and Jianmin Zheng. "TV-L1 Optimization for B-Spline Surface Reconstruction with Sharp Features." In 2013 International Conference on Computer-Aided Design and Computer Graphics (CAD/Graphics). IEEE, 2013. http://dx.doi.org/10.1109/cadgraphics.2013.13.

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Changqi Hu and Zhouwang Yang. "A fitting approach with dynamic algebraic spline curves." In Proceedings. Ninth International Conference on Computer Aided Design and Computer Graphics. IEEE, 2005. http://dx.doi.org/10.1109/cad-cg.2005.3.

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Zhang, Sen, Zhigang Li, Hui Zhang, and Junhai Yong. "Multi-resolution Mesh Fitting by B-spline Surfaces for Reverse Engineering." In 2011 12th International Conference on Computer-Aided Design and Computer Graphics (CAD/Graphics). IEEE, 2011. http://dx.doi.org/10.1109/cad/graphics.2011.65.

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Wu, Xiaoqin, Xuli Han, and Shanmin Luo. "Quadratic Trigonometric Spline Curves with Multiple Shape Parameters." In 2007 10th IEEE International Conference on Computer-Aided Design and Computer Graphics. IEEE, 2007. http://dx.doi.org/10.1109/cadcg.2007.4407918.

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Yang, Huaiping, and Bert Juttler. "3D Shape Metamorphosis Based on T-spline Level Sets." In 2007 10th IEEE International Conference on Computer-Aided Design and Computer Graphics. IEEE, 2007. http://dx.doi.org/10.1109/cadcg.2007.4407834.

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Wu, Zhongke, Hock Soon Seah, and Mingquan Zhou. "Skeleton Based Parametric Solid Models: Ball B-Spline Surfaces." In 2007 10th IEEE International Conference on Computer-Aided Design and Computer Graphics. IEEE, 2007. http://dx.doi.org/10.1109/cadcg.2007.4407854.

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Wang, Qiang, and Jieqing Tan. "Multi-Focus Image Fusion Algorithm Based on Rational Spline." In 2007 10th IEEE International Conference on Computer-Aided Design and Computer Graphics. IEEE, 2007. http://dx.doi.org/10.1109/cadcg.2007.4407885.

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Wu, Zhongke, Hock Soon Seah, and Mingquan Zhou. "Skeleton Based Parametric Solid Models: Ball B-Spline Curves." In 2007 10th IEEE International Conference on Computer-Aided Design and Computer Graphics. IEEE, 2007. http://dx.doi.org/10.1109/cadcg.2007.4407920.

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