Introduction to numerical analysis: 2nd edition
Introduction to numerical analysis: 2nd edition
ACM Transactions on Graphics (TOG)
Algorithm 671: FARB-E-2D: fill area with bicubics on rectangles—a contour plot program
ACM Transactions on Mathematical Software (TOMS)
Surface design with minimum energy networks
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
A method of univariate interpolation that has the accuracy of a third-degree polynomial
ACM Transactions on Mathematical Software (TOMS)
Sample-based non-uniform random variate generation
WSC '86 Proceedings of the 18th conference on Winter simulation
Algorithm 433: interpolation and smooth curve fitting based on local procedures [E2]
Communications of the ACM
Automatic Curve Fitting Using an Adaptive Local Algorithm
ACM Transactions on Mathematical Software (TOMS)
Progress in Picture Processing: 1969--71
ACM Computing Surveys (CSUR)
Interactive skeleton techniques for enhancing motion dynamics in key frame animation
Communications of the ACM
A method of bivariate interpolation and smooth surface fitting based on local procedures
Communications of the ACM
Bivariate interpolation and smooth surface fitting based on local procedures
Communications of the ACM
Max-fit biarc fitting to STL models for rapid prototyping processes
Proceedings of the sixth ACM symposium on Solid modeling and applications
Generation of random numbers using shape preserving quadratic splines
ACM-SE 16 Proceedings of the 16th annual Southeast regional conference
A Tension-Compatible Patch for Shape-Preserving Surface Interpolation
IEEE Computer Graphics and Applications
Procedurally Representing Lofted Surfaces
IEEE Computer Graphics and Applications
Curves: Automatic Tension Adjustment for Interpolatory Splines
IEEE Computer Graphics and Applications
IEEE Computer Graphics and Applications
An energy-minimization framework for monotonic cubic spline interpolation
Journal of Computational and Applied Mathematics
Three dimensional computer graphics for craniofacial surgical planning and evaluation
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Recent results in non-uniform random variate generation
WSC '81 Proceedings of the 13th conference on Winter simulation - Volume 2
An investigation of curve fitting methods using an APL graphics terminal
APL '74 Proceedings of the sixth international conference on APL
Shape-preserving interpolants with high smoothness
Journal of Computational and Applied Mathematics
Monotonicity preserving rational spline histopolation
Journal of Computational and Applied Mathematics
Geometric Hermite interpolation with circular precision
Computer-Aided Design
CAD and Graphics: Parametric curve interpolation by combination of two conic sections
Computers and Graphics
Proceedings of the 40th Conference on Winter Simulation
Interactive simulation of surgical needle insertion and steering
ACM SIGGRAPH 2009 papers
Curve generation and modification based on radius of curvature smoothing
MACMESE'08 Proceedings of the 10th WSEAS international conference on Mathematical and computational methods in science and engineering
Construction of curves and surfaces using numerical optimization techniques
Computer-Aided Design
Monotonicity preserving rational spline histopolation
Journal of Computational and Applied Mathematics
Quintic B-spline curve generation and modification based on specified radius of curvature
MATH'09 Proceedings of the 14th WSEAS International Conference on Applied mathematics
Estimation of end curvatures from planar point data
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
3D action recognition and long-term prediction of human motion
ICVS'08 Proceedings of the 6th international conference on Computer vision systems
WSEAS Transactions on Mathematics
Local nonreflecting boundary condition for time-dependent multiple scattering
Journal of Computational Physics
Comonotone and coconvex rational interpolation and approximation
Numerical Algorithms
PaCT'11 Proceedings of the 11th international conference on Parallel computing technologies
Parallel mesh methods for tension splines
Journal of Computational and Applied Mathematics
Least eccentric ellipses for geometric Hermite interpolation
Computer Aided Geometric Design
Low-Latency instrument separation in polyphonic audio using timbre models
LVA/ICA'12 Proceedings of the 10th international conference on Latent Variable Analysis and Signal Separation
A shape-preserving approximation by weighted cubic splines
Journal of Computational and Applied Mathematics
Uniform interpolation curves and surfaces based on a family of symmetric splines
Computer Aided Geometric Design
Curvilinear displacement of free-form-based deformation
The Visual Computer: International Journal of Computer Graphics
Monotone and convex interpolation by weighted quadratic splines
Advances in Computational Mathematics
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A new mathematical method is developed for interpolation from a given set of data points in a plane and for fitting a smooth curve to the points. This method is devised in such a way that the resultant curve will pass through the given points and will appear smooth and natural. It is based on a piecewise function composed of a set of polynomials, each of degree three, at most, and applicable to successive intervals of the given points. In this method, the slope of the curve is determined at each given point locally, and each polynomial representing a portion of the curve between a pair of given points is determined by the coordinates of and the slopes at the points. Comparison indicates that the curve obtained by this new method is closer to a manually drawn curve than those drawn by other mathematical methods.