Skip header Section
Skip Bibliometrics Section
Bezier and B-Spline TechniquesAugust 2002
Abstract
No abstract available.
Cited By
- Jørgensen M and Osborne M Bézier Gaussian processes for tall and wide data Proceedings of the 36th International Conference on Neural Information Processing Systems, (24354-24366)
- Lyche T, Manni C and Speleers H (2022). Construction of Cubic Splines on Arbitrary Triangulations, Foundations of Computational Mathematics, 22:5, (1309-1350), Online publication date: 1-Oct-2022.
- Mishra B, Wilson A and Panigrahi T (2022). Estimation of Nonlinear Wireless Channel Based on Incremental Spline Adaptive Filtering, Wireless Personal Communications: An International Journal, 126:1, (445-480), Online publication date: 1-Sep-2022.
- Lipovetsky E (2022). Subdivision of point-normal pairs with application to smoothing feasible robot path, The Visual Computer: International Journal of Computer Graphics, 38:7, (2271-2284), Online publication date: 1-Jul-2022.
- Tayebi Arasteh S and Kalisz A (2021). Conversion Between Cubic Bezier Curves and Catmull–Rom Splines, SN Computer Science, 2:5, Online publication date: 1-Sep-2021.
- Ni R, Schneider T, Panozzo D, Pan Z and Gao X Robust & Asymptotically Locally Optimal UAV-Trajectory Generation Based on Spline Subdivision 2021 IEEE International Conference on Robotics and Automation (ICRA), (7715-7721)
- Demidenko S, Ooi M, Akmeliawati R, Gupta G, Kuang Y, Bailey D, Khan S, Gamage N and Bilal S Developing Automatic Markerless Sign Language Gesture Tracking and Recognition System 2019 IEEE International Symposium on Haptic, Audio and Visual Environments and Games (HAVE), (1-6)
- Wang F, Wang R, Zhong S, Luo X, Zhu Y, Jiang J and Tang Z (2018). An Efficient Geometric Method for 3D Reconstruction Based on Images, International Journal of Grid and High Performance Computing, 10:2, (34-46), Online publication date: 1-Apr-2018.
- Greco F, Barendrecht P, Coox L, Atak O and Desmet W (2017). Finite element analysis enhanced with subdivision surface boundary representations, Finite Elements in Analysis and Design, 137:C, (56-72), Online publication date: 1-Dec-2017.
Schmitter D, García-Amorena P and Unser M Smoothly deformable spheres SIGGRAPH ASIA 2016 Technical Briefs, (1-4)- Floater M (2016). A generalized mean value property for polyharmonic functions, Numerical Algorithms, 73:1, (157-165), Online publication date: 1-Sep-2016.
- Zhang F, Hager R, Ku S, Chang C, Jardin S, Ferraro N, Seol E, Yoon E and Shephard M (2016). Mesh generation for confined fusion plasma simulation, Engineering with Computers, 32:2, (285-293), Online publication date: 1-Apr-2016.
- Sánchez-Reyes J (2015). Detecting symmetries in polynomial Bézier curves, Journal of Computational and Applied Mathematics, 288:C, (274-283), Online publication date: 1-Nov-2015.
- Karčiauskas K and Peters J (2015). Biquintic G 2 surfaces via functionals, Computer Aided Geometric Design, 33:C, (17-29), Online publication date: 1-Feb-2015.
- Takacs T and Jüttler B (2012). H 2 regularity properties of singular parameterizations in isogeometric analysis, Graphical Models, 74:6, (361-372), Online publication date: 1-Nov-2012.
- Karčiauskas K and Peters J (2012). Free-form splines combining NURBS and basic shapes, Graphical Models, 74:6, (351-360), Online publication date: 1-Nov-2012.
- Fink M, Haverkort H, Nöllenburg M, Roberts M, Schuhmann J and Wolff A Drawing metro maps using bézier curves Proceedings of the 20th international conference on Graph Drawing, (463-474)
- Karčiauskas K and Peters J (2011). Modeling with rational biquadratic splines, Computer-Aided Design, 43:11, (1350-1359), Online publication date: 1-Nov-2011.
- Hart W and Novocin A Practical divide-and-conquer algorithms for polynomial arithmetic Proceedings of the 13th international conference on Computer algebra in scientific computing, (200-214)
- Hermann T, Peters J and Strotman T Constraints on curve networks suitable for G2 interpolation Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing, (77-87)
- Kiciak P (2010). Surfaces filling polygonal holes with G1 quasi G2 continuity, Machine Graphics & Vision International Journal, 19:1, (63-96), Online publication date: 1-Jan-2010.
- Srivatsa M, Agrawal D and Reidt S A metadata calculus for secure information sharing Proceedings of the 16th ACM conference on Computer and communications security, (488-499)
- Randrianarivony M (2009). On global continuity of Coons mappings in patching CAD surfaces, Computer-Aided Design, 41:11, (782-791), Online publication date: 1-Nov-2009.
- Hermann T, Peters J and Strotman T A geometric criterion for smooth interpolation of curve networks 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling, (169-173)
- Ni T, Castaño I, Peters J, Mitchell J, Schneider P and Verma V Efficient substitutes for subdivision surfaces ACM SIGGRAPH 2009 Courses, (1-107)
- Myles A and Peters J Bi-3 C2 polar subdivision ACM SIGGRAPH 2009 papers, (1-12)
- Myles A and Peters J (2009). Bi-3 C2 polar subdivision, ACM Transactions on Graphics, 28:3, (1-12), Online publication date: 27-Jul-2009.
- Korpela M, Mäkinen H, Sulkava M, Nöjd P and Hollmén J Smoothed Prediction of the Onset of Tree Stem Radius Increase Based on Temperature Patterns Discovery Science, (100-111)
- Lasaruk A and Sturm T Automatic verification of the adequacy of models for families of geometric objects Proceedings of the 7th international conference on Automated deduction in geometry, (116-140)
- Myles A, Yeo Y and Peters J GPU conversion of quad meshes to smooth surfaces Proceedings of the 2008 ACM symposium on Solid and physical modeling, (321-326)
- Garth C, Gerhardt F, Tricoche X and Hans H (2007). Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications, IEEE Transactions on Visualization and Computer Graphics, 13:6, (1464-1471), Online publication date: 1-Nov-2007.
- Ginkel I and Umlauf G Tuning subdivision algorithms using constrained energy optimization Proceedings of the 12th IMA international conference on Mathematics of surfaces XII, (166-176)
- Botsch M, Pauly M, Kobbelt L, Alliez P, Lévy B, Bischoff S and Rössl C Geometric modeling based on polygonal meshes Video files associated with this course are available from the citation page ACM SIGGRAPH 2007 courses, (1-es)
- Eigenwillig A, Kettner L and Wolpert N Snap rounding of Bézier curves Proceedings of the twenty-third annual symposium on Computational geometry, (158-167)
- Zafiris V Quality metrics for geologic grid structures Proceedings of the 2007 ACM symposium on Solid and physical modeling, (361-366)
- Zafiris V Remarks on the geometric properties of trivariate maps Proceedings of the 11th WSEAS International Conference on Applied Mathematics, (162-167)
- Li H, Sun Y and Zhan M (2007). Analysis of gene coexpression by B-spline based CoD estimation, EURASIP Journal on Bioinformatics and Systems Biology, 2007, (6-6), Online publication date: 1-Jan-2007.
- Botsch M, Pauly M, Rossl C, Bischoff S and Kobbelt L Geometric modeling based on triangle meshes ACM SIGGRAPH 2006 Courses, (1-es)
- Wang K, Weiwei , Tong Y, Desbrun M and Schröder P Edge subdivision schemes and the construction of smooth vector fields ACM SIGGRAPH 2006 Papers, (1041-1048)
- Eigenwillig A, Sharma V and Yap C Almost tight recursion tree bounds for the Descartes method Proceedings of the 2006 international symposium on Symbolic and algebraic computation, (71-78)
- Wang K, Weiwei , Tong Y, Desbrun M and Schröder P (2006). Edge subdivision schemes and the construction of smooth vector fields, ACM Transactions on Graphics, 25:3, (1041-1048), Online publication date: 1-Jul-2006.
- Eigenwillig A, Kettner L, Krandick W, Mehlhorn K, Schmitt S and Wolpert N A descartes algorithm for polynomials with bit-stream coefficients Proceedings of the 8th international conference on Computer Algebra in Scientific Computing, (138-149)
- Rössl C, Zeilfelder F, Nürnberger G and Seidel H Spline approximation of general volumetric data Proceedings of the ninth ACM symposium on Solid modeling and applications, (71-82)
- Garloff J and Smith A A comparison of methods for the computation of affine lower bound functions for polynomials Proceedings of the Second international conference on Global Optimization and Constraint Satisfaction, (71-85)
- Rossl C, Zeilfelder F, Nurnberger G and Seidel H Visualization of Volume Data with Quadratic Super Splines Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
- Guzzi J and Di Caro G From indoor GIS maps to path planning for autonomous wheelchairs 2016 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), (4773-4779)
Index Terms
- Bezier and B-Spline Techniques
Recommendations
AHT Bézier curves and NUAHT B-spline curves
In this paper, we present two new unified mathematics models of conics and polynomial curves, called algebraic hyperbolic trigonometric (AHT) Bézier curves and non-uniform algebraic hyperbolic trigonometric (NUAHT) B-spline curves of order n, which are ...
Planar Pythagorean-Hodograph B-Spline curves
We introduce a new class of planar Pythagorean-Hodograph (PH) B-Spline curves. They can be seen as a generalization of the well-known class of planar Pythagorean-Hodograph (PH) Bzier curves, presented by R. Farouki and T. Sakkalis in 1990, including the ...
Approximating uniform rational B-spline curves by polynomial B-spline curves
Approximation of rational B-spline curves by B-spline curves is an important issue in computer aided geometric design. This paper presents a method to approximate a uniform rational B-spline with B-spline curve sequence as follows. We first elevate the ...
Deborah Silver
The goal of this book is to present a complete mathematical framework for Bézier and B-Spline representations. The book focuses on concepts of computer-aided geometric design (CAGD) and is divided into three parts. Part 1 deals with Bézier and B-spline curves. Part 2 focuses on surfaces including triangular patches, and regular and arbitrary nets, and Part 3 covers multivariate splines, including box splines and simplex splines. This is an advanced mathematical textbook, suitable for an in-depth graduate level course in the mathematics of splines and/or an advanced course in mechanical engineering for those students who are interested in CAGD. It is also suitable as a reference text (although it does not cover rational splines). The focus of the book is on proofs and properties of splines, and a rigorous approach to the material is presented. The book is clearly written with many illustrative figures. Online Computing Reviews Service
Access critical reviews of Computing literature here
Become a reviewer for Computing Reviews.