Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Monotone Data Visualization Using Rational Trigonometric Spline Interpolation
View through CrossRef
Rational cubic and bicubic trigonometric schemes are developed to conserve monotonicity of curve and surface data, respectively. The rational cubic function has four parameters in each subinterval, while the rational bicubic partially blended function has eight parameters in each rectangular patch. The monotonicity of curve and surface data is retained by developing constraints on some of these parameters in description of rational cubic and bicubic trigonometric functions. The remaining parameters are kept free to modify the shape of curve and surface if required. The developed algorithm is verified mathematically and demonstrated graphically.
Title: Monotone Data Visualization Using Rational Trigonometric Spline Interpolation
Description:
Rational cubic and bicubic trigonometric schemes are developed to conserve monotonicity of curve and surface data, respectively.
The rational cubic function has four parameters in each subinterval, while the rational bicubic partially blended function has eight parameters in each rectangular patch.
The monotonicity of curve and surface data is retained by developing constraints on some of these parameters in description of rational cubic and bicubic trigonometric functions.
The remaining parameters are kept free to modify the shape of curve and surface if required.
The developed algorithm is verified mathematically and demonstrated graphically.
Related Results
Extensive Experimental Study on the Stability of Rotor System With Spline Coupling
Extensive Experimental Study on the Stability of Rotor System With Spline Coupling
Spline couplings which have simple structure, high reliability and can compensate torque transmission error are widely used in rotating machineries, such as aeroengine and gasturbi...
SYSTEMATIZATION OF INTERPOLATION METHODS IN GEOMETRIC MODELING
SYSTEMATIZATION OF INTERPOLATION METHODS IN GEOMETRIC MODELING
This article proposes to show the connections between the practical problems of geometric modeling, for the solution of which there are no adequate interpolation methods. Interpola...
Construction and Local Routing for Angle-Monotone Graphs
Construction and Local Routing for Angle-Monotone Graphs
A geometric graph in the plane is angle-monotone of width $\gamma$ if every pair of vertices is connected by an angle-monotone path of width $\gamma$, a path such that the angles o...
Piecewise monotone interpolation and approximation with Muntz polynomials
Piecewise monotone interpolation and approximation with Muntz polynomials
The possibility (subject to certain restrictions) of solving the following approximation and interpolation problem with a given set of “Muntz polynomials” on a real interval is dem...
Data processing method of noise logging based on cubic spline interpolation
Data processing method of noise logging based on cubic spline interpolation
Abstract
Noise logging is a method to determine the natural noise in a well. In the actual production logging process, it is a common situation that the noise data i...
Vessel Trajectory Similarity Based on Cubic B-spline Interpolation + Time-constrained Hausdorff Algorithm
Vessel Trajectory Similarity Based on Cubic B-spline Interpolation + Time-constrained Hausdorff Algorithm
Abstract
The spatio-temporal trajectory data sampling period is large, and the general trajectory similarity is not suitable. This paper proposes a new algorithm, cu...
Improving Deformable Multi-Grid B-spline Registration using Heuristics and Deep Learning
Improving Deformable Multi-Grid B-spline Registration using Heuristics and Deep Learning
The purpose of deformable image registration is to recover acceptable spatial transformations that align two images acquired at different periods of time into the same coordinate s...
A FAST MORPHING-BASED INTERPOLATION FOR MEDICAL IMAGES: APPLICATION TO CONFORMAL RADIOTHERAPY
A FAST MORPHING-BASED INTERPOLATION FOR MEDICAL IMAGES: APPLICATION TO CONFORMAL RADIOTHERAPY
A method is presented for fast interpolation between medical images. The method is intended for both slice and projective interpolation. It allows offline interpolation between nei...