Projective geometry and its applications to computer graphics
Projective geometry and its applications to computer graphics
A geometric investigation of the rational bezier scheme of computer aided design
Computers in Industry
Infinite Control Points-A Method for Representing Surfaces of Revolution Using Boundary Data
IEEE Computer Graphics and Applications
Curve and surface constructions using rational B-splines
Computer-Aided Design
PHIGS+ functional description revision
ACM SIGGRAPH Computer Graphics
Skinning techniques for interactive B-spline surface interpolation
Computer-Aided Design
Mathematical elements for computer graphics (2nd ed.)
Mathematical elements for computer graphics (2nd ed.)
Choosing nodes in parametric curve interpolation
Computer-Aided Design
Modifying the shape of rational B-splines. part2: surfaces
Computer-Aided Design
Modifying the shape of rational B-splines. part 1: curves
Computer-Aided Design
Constrained B-spline curve and surface fitting
Computer-Aided Design
A technique for smoothing scattered data with conic sections
Computers in Industry
Algorithms for degree-raising of splines
ACM Transactions on Graphics (TOG)
A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures
Journal of the ACM (JACM)
A system for sculpting 3-D data
SIGGRAPH '77 Proceedings of the 4th annual conference on Computer graphics and interactive techniques
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
A Menagerie of Rational B-Spline Circles
IEEE Computer Graphics and Applications
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
Applications of b-spline approximation to geometric problems of computer-aided design.
Applications of b-spline approximation to geometric problems of computer-aided design.
Computer-aided design applications of the rational b-spline approximation form.
Computer-aided design applications of the rational b-spline approximation form.
Techniques for the generation of three-dimensional data for use in complex image synthesis
Techniques for the generation of three-dimensional data for use in complex image synthesis
Design of sculptured surfaces using the b-spline representation
Design of sculptured surfaces using the b-spline representation
Linear constraints for deformable non-uniform B-spline surfaces
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
Dynamic NURBS with geometric constraints for interactive sculpting
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
X-splines: a spline model designed for the end-user
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Triangular NURBS surface modeling of scattered data
Proceedings of the 7th conference on Visualization '96
Surface construction from within a virtual environment
ACM-SE 37 Proceedings of the 37th annual Southeast regional conference (CD-ROM)
Ordering and Parameterizing Scattered 3D Data for B-Spline Surface Approximation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Coding of 3D virtual objects with NURBS
Signal Processing - Image and Video Coding beyond Standards
D-NURBS: A Physics-Based Framework for Geometric Design
IEEE Transactions on Visualization and Computer Graphics
Data Reduction Using Cubic Rational B-Splines
IEEE Computer Graphics and Applications
From Conics to NURBS: A Tutorial and Survey
IEEE Computer Graphics and Applications
Constraint-Based Curve Manipulation
IEEE Computer Graphics and Applications
A Simple Technique for NURBS Shape Modification
IEEE Computer Graphics and Applications
Constrained control and approximation properties of a rational interpolating curve
Information Sciences: an International Journal
Point inversion and projection for NURBS curve and surface: control polygon approach
Computer Aided Geometric Design
Using cross-ratios to model curve data for aircraft recognition
Pattern Recognition Letters
A Painting Interface for Interactive Surface Deformations
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
A new bivariate rational interpolation based on function values
Information Sciences—Informatics and Computer Science: An International Journal
A painting interface for interactive surface deformations
Graphical Models - Special issue on pacific graphics 2003
A comparison and evaluation of interpolation methods for visualising discrete 2D survey data
APVis '04 Proceedings of the 2004 Australasian symposium on Information Visualisation - Volume 35
A bivariate rational interpolation with a bi-quadratic denominator
Journal of Computational and Applied Mathematics - Special issue: The international symposium on computing and information (ISCI2004)
Finite Elements in Analysis and Design
Error estimation of a kind of rational spline
Journal of Computational and Applied Mathematics
Bounded Property and Point Control of a Bivariate Rational Interpolating Surface
Computers & Mathematics with Applications
Direct evaluation of NURBS curves and surfaces on the GPU
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Watermarking algorithms for 3D NURBS graphic data
EURASIP Journal on Applied Signal Processing
Computational representation of the aponeuroses as NURBS surfaces in 3D musculoskeletal models
Computer Methods and Programs in Biomedicine
Journal of Computational Physics
Using rational B-spline neural networks for curve approximation
MMACTE'05 Proceedings of the 7th WSEAS International Conference on Mathematical Methods and Computational Techniques In Electrical Engineering
A novel generalization of Bézier curve and surface
Journal of Computational and Applied Mathematics
On Non-Uniform Rational B-Splines Surface Neural Networks
Neural Processing Letters
Freeform surface inference from sketches via neural networks
Neurocomputing
Rational Biquartic Interpolating Surface Based on Function Values
Edutainment '08 Proceedings of the 3rd international conference on Technologies for E-Learning and Digital Entertainment
Shape control of a bivariate interpolating spline surface
International Journal of Computer Mathematics
Journal of Computational and Applied Mathematics
Contour error reduction for free-form contour following tasks of biaxial motion control systems
Robotics and Computer-Integrated Manufacturing
The Research of Dual NURBS Curves Interpolation Algorithm for High-Speed Five-Axis Machining
ICIRA '08 Proceedings of the First International Conference on Intelligent Robotics and Applications: Part II
Method of 5-axis Spline Interpolation and Realization in CNC System
CAR '09 Proceedings of the 2009 International Asia Conference on Informatics in Control, Automation and Robotics
AHT Bézier curves and NUAHT B-spline curves
Journal of Computer Science and Technology
Correction of color information of a 3D model using a range intensity image
Computer Vision and Image Understanding
A new method for speeding up ray tracing NURBS surfaces
Computers and Graphics
Capturing planar shapes by approximating their outlines
Journal of Computational and Applied Mathematics
Technical Section: A blending interpolator with value control and minimal strain energy
Computers and Graphics
Exponential splines and minimal-support bases for curve representation
Computer Aided Geometric Design
The calculation of parametric NURBS surface interval values using neural networks
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
An outline for an intelligent system performing peg-in-hole actions with flexible objects
ICIRA'11 Proceedings of the 4th international conference on Intelligent Robotics and Applications - Volume Part II
-G2 B-spline surface interpolation
Computer Aided Geometric Design
A bivariate rational interpolation based on scattered data on parallel lines
Journal of Visual Communication and Image Representation
A scheme for interpolation with trigonometric spline curves
Journal of Computational and Applied Mathematics
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Nonuniform rational B-spline (NURBS) curves and surfaces, which are based on rational and B-splines, are defined. The important characteristics of NURBS that have contributed to their wide acceptance as standard tools for geometry representation and design are summarized. Their application to representing conic sections and commonly used surfaces, designing curves and surfaces, and modifying shapes is examined.