spline

The genetic algorithm is usually selected as an optimization tool for the least square fitting about ordered plane data by B-spline curves.

The word "spline" once referred to a piece of flexible wood, rubber, or metal used to draw curves on a piece of paper .

This method through the point's density distribution on the die profile could control fitting error of the curvature of the arc spline.

An analysis on the cold extrusion process and a technological experiment were made for the two spline ends of a slim drive shaft .

You'd then anchor a spline to the points and use a pencil to draw the curve along the spline as it bent around the points.

A designer would place the spline on a piece of paper and anchor it to a given set of points .

The surface of the paddle blade is non-uniform rational B-spline surface, the surface has met precision requirements for paddle blade.

The spline is specified by an array of points and a tension parameter.

Fills the interior of a closed cardinal spline curve defined by an array of.

By numerical simulation of a six-tooth rectangle spline, the optimized half-angle of the concave die can be got.

This paper implements a real-time NURBS (Non-Uniform Rational B-Spline) path interpolator for a six-axis are welding robot.

This could be use to navigate the camera along the spline (curved line) to its intended concept.

In a closed cardinal spline , the curve continues through the last point in the array and connects with the first point in the array .

Specification of the spline cold rolling mill hydraulic system for the demonstration of the system and design note.

Finally, the Subsection Cubic Spline interpolation was used to analyze the Pitch curves which provide a method for the further work.

The yoke might be rigidly welded to the shaft tube or it might be a spline, or slip yoke.

The following illustration shows a set of points and a cardinal spline that passes through each point in the set.

A given set of points could yield a variety of curves, depending on the properties of the physical spline.

The numbers are a text spline with an extrude modifier, and then an array over the clock's surface.

and a supporting tube is sleeved outside the spline shaft position between the box body and the gearbox body of the bevel gear.

A cardinal spline is a curve that passes smoothly through a given set of points .

Nominal Clearance is the actual space width of an internal spline minus the actual tooth thickness of the mating external spline.

Cardinal B-spline wavelets have been widely used in multi-resolution modeling for curves and surfaces.

The spline data is of course different as the spline on the samples was on the wrong end.

A new finite element space is studied in which the scaling function of B-spline wavelet is considered as the shape function of tetrahedron.

To model the dog tags, I've used a spline like guide and with the spacing tool, I distributed some spheres in the spline.

The program and drawing procedure for determining the normal gear shape of a rectangle spline hob are introduced.

A physical spline is a thin piece of wood or other flexible material.

The size-dependent effect of energy and binding energy of hydrogen-like donor impurity quantum ring are calculated with B-spline technique.

This paper presents a study on transition between sections of B-Spline curves when used in direct interpolation algorithm.

Overloaded. Draws a closed cardinal spline defined by an array of.

In the computer geographic mapping, the tension spline interpolation is an effective method to realize the smoothing curve.

Simulation shows that the B-spline curve fitting method is a more reasonable and effective path planning method.

The Bezier spline is always anchored at the two end points.

Determined the pipe route by the spline interpolation whose nodes were the centers of polygonal largest inscribed circle list.

B-spline smoothing the main local algorithm can be divided into two major categories and the overall algorithm.

The adaptive genetic algorithm was proposed to overcome the shortcoming during the parameter optimization for B-spline curves.

Spline interpolation could be the powerful supplement for line and arc interpolation as its brevity and smoothness.

So it adopt cubic spline function to structure die cavity outline in this article , the model points may be surveyed on die cavity surface .

Its features include transparent backgrounds, extensible axes to graph dates, currencies, custom fonts, and spline curve fitting.

The welding that is visible on the model was created using a combination of a few modifiers applied on the rectangular spline.

This article discusses some applications of the matrix differential equations used by matrix spline function.

This fuzzy neural network used the B-spline basis function as membership function whose shape can be adjusted on line.

This method fills the interior of a closed cardinal spline that passes through each point in the array.

and the diameter of the spline punch is smaller than the cavity diameter at the lower part of the T-shaped structure workpiece cavity.

I mainly used basic poly modeling for all the objects and render spline for the hose and metal bars (sometimes sweep modifier).

B-spline curve allows local control over the shape of a spline curve.

At last, the hierarchical B-spline surface fitting the triangular mesh within a given error is constructed.

The constraints provided rapid convergence toward a final contour position by successively stopping spline segments.

An application of quadratic B-spline subdivision with circulant subdivision matrix in computer aided geometric design is proposed.

The B-spline technique is used in the calculation of two-dimension quantum ring energies which correspond to different angular momentum.

In this algorithm, an overlapping combination method was proposed to realize the smooth connection between adjacent B-spline segments.

This paper is mainly cotton shirt fabric samples spline design and design an innovative color fabrics - polyester cotton poplin double-weft.

Finally, the global elastic registration was performed combined those corresponding points with thin-plate spline.

A combination of both poly modeling and spline modeling techniques will be used to complete the structure and the water fountain.

Draws a closed cardinal spline defined by an array of.

In this paper, a local adaptive refinement approach for triangular mesh approximation with hierarchical B-spline surface is proposed.

The method is endowed with higher approximation accuracy of B-spline functions and various basis functions for structural analysis.

Finally, the marked new control points are gotten with the reconstruction of the non-uniform B-spline wavelets.

The four B-Spline curves are made using twelve points and taking average value of four curves' midpoint as the ultimate value.

Markov-Bernstein inequality for cardinal spline played an important role in its properties.

Using natural spline functions with multiple knots, we discuss the extended Sard approximation of Linear functional.

A new simple method for broaching spline holes with a common machine, which has enlarged Screwpitch, is introduced.

The advantages of the spline collocation method are less input data, simpler calculation, higher precision and more universal application.

Drive vehicles bearing the framework by the torsion stress in the work of fracture sites in the spline.

Then Ball B-Spline curves and surfaces are generated to represent characters through interpolating joint points and radii on them.

A method is described for the determination of end-points of acid-base potentiometric titration by using rational spline function.

The spline Ritz method was proposed and used to analyse the shear lag effect of box girders.

The quality of final product shape is determined directly by the fairness of the B-spline curve.

And open-die forward extrusion is a more advanced way of deforming spline.

The mathematical theory and merit of tension spline function in rainfall isoline smoothing were also introduced.

The authors introduce highway 3-dimensional design way in the light of spline function.

By turn left algorithm polygons of stratum are generated and the topology is built. The lines are smoothed by cubic spline interpolation.

Apply Extrude modifier to the newly created spline to model the wall.

The algorithm of segment rational quadratic B-spline interpolation to algebraic curve is discussed in details.

Compactly supported orthonormal wavelet, compactly supported biorthogonal wavelet, and B spline wavelet, etc.

Secondly, B spline smoothing is performed on some interested area of the coarse estimation.

In this paper, some advances on the dimension of the bivariate spline space from the approach is surveyed.

This article give some quick and practical methods and experience of gear shape data of involute spline gear blanking die.

The method can enlarge the adjusting scale of uniform quadratic B-spline curve by adjusting the related parameters.

Have discussed the fuzzy discernment among oval arc and spline curve, spline curve and spline curve especially.

Compared with BP neural network, B-spline fuzzy neural network has the advantages of fast convergence rate and local learning ability.

The numerical example showed that SSPI method had higher accuracy and better practicability than the method of cubic spline collocation.

A compact object boundary spline curve modeling method for sectional medical images was proposed.

Based on this, the paper focuses on the read-time B-spline curve interpolation of known data points of the algorithm.

The calculation method of slope angle of each discrete point was presented based on studying the cubic parametric spline method.

When using a polynomial spline to plan the trajectory of a dynamic system, it is very difficult to manage dynamic constraints.

Its result is close to the cubic spline interpolation.

Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.

We have investigated and proposed a novel stroke and shape representation model, Disk and Ball B-Spline( DBBS).

Given a group of special regular controlling points, B spline function for transformation is formed.

Lastly, the symmetry properties are introduced in the B-spline panel method to reduce the computation burden.

A connecting sleeve connected with the spline of the second flywheel is sleeved on the second flywheel.

The range of standard involute external spline that maximal contact ratio in rolling process has been obtained.

A framework of inertial measurement unit is designed and the B-spline wavelet finite element model of IMU is worked out.

The mechanical background of the bivariate spline space of degree 2 and smoothness 1 on rectangular partition was presented constructively.

This paper analyses the uniform B-spline model with shape parameters, and applys the model to the curve fitting of discrete data points.

Fully tightened bolt assemblies are identified as those with the spline end sheared off.

Especially, the employed blade surface setting method is that letting the blade thickness be distributed as a triple spline function.

A research is made into the geometric characteristics and the construction method of B spline quadruplex parameter hyperreal entity.

An algorithm for Non-uniform Rational B-Spline (NURBS) surface trimming was proposed.

A cardinal spline is a sequence of individual curves joined to form a larger curve.

Chapter 3: Introduce the numerical solution of the second order matrix differential using matrix spline function.

The ultimate load of plate girders was analyzed by spline finite strip and plastic hinge method.

using B-Spline based barycenter algorithm to finish the pavement image thinning.

Based on first principles, we identify the quadratic B-spline as the best model for our purpose.

The following example draws a bell-shaped cardinal spline that passes through five designated points.

Internal spline is a spline formed on the inner surface of a cylinder.

Create a rectangle in the TOP view. Make a right mouse button click (RMC) on it and choose convert to editable spline.

According to double cube B spline surface, a mathematical model of the airfoil blade is constructed by given point.

lastly the curve interpolation is performed on the fitted smooth spline curve.

The following example draws a closed cardinal spline that passes through six designated points.

In this paper, a transferable Gauss integral matrix algorithm(TGIMA)which can perform fleetly the B spline FEM was proposed.

An approach to generate arc spline tool path of triangular mesh surface was proposed.

This article focuses on three plane B-spline surfaces of the fairing.

The illustration also shows the spline's convex hull, which is a polygon formed by connecting the four points with straight lines.

In this paper a method of Chinese font compression is created by using cubic B_spline wavelet transformation.

This method draws a closed cardinal spline that passes through each point in the array.

The result shows that the trajectory prediction based on the cubic spline has high accuracy and practical engineering value.

An algorithm for constructing rational spline closed curve which is tangent to the given polygon is described.

Major Circle is the circle formed by the outermost surface of the spline.

Minor Circle is the circle formed by the innermost surface of the spline.

The earlier period failure of the spline shaft for a 4-roll rolling mill occurred after an operating period of 4 months.

It is the outside circle (tooth tip circle) of the external spline or the root circle of the internal spline.

A tension of 1 corresponds to no physical tension, allowing the spline to take the path of least total bend.

It is the root circle of the external spline or the inside circle (tooth tip circle) of the internal spline.

This method draws a cardinal spline that passes through each point in the array.

The interpolation result is C1 continuous and looks almost as smooth as spline interpolation.

Spline function method of interpolation.

The main products are various models of dial, spline shaft, gear, bevel gear, gear shaft, transplanter Luo pivot, such as vulnerable parts.

On the basis of B-spline, an algebraical construction of biorthonormal wavelet was proposed.

Finally the smoothing spline fitting method is proposed, it can avoid the survey error spread and be used to general engineering.

The dynamic response of antisymmetric angle- ply laminated plates was calculated by using the method of spline collocation in time domain.

Use the DrawClosedCurve method of the Graphics class to draw a closed cardinal spline.

This paper proposes and implements an approach to smooth B-Spline surface reconstruction based on the mesh model.

The principle of B-spline wavelet was introduced based on the property of edge information and wavelet transform.

In this paper we propose a new cubic B-spline skeleton convolution surface modeling method based on curve degree reduction.

The 3D data are processed smoothly with the help of bicubic spline interpolation.

A new and unique shaving spline fixture has been designed for splines couldn' t be processed or cylindrical surface.

Based on two state spline filtering, this paper presents a novel three state spline filter and smooth method.

In this paper, a new numerical model is proposed based on B-spline interpolation for transient of interconnects.

Based on the equivalence of the expanded spaces, the uniformly-divided 7th B-spline basis function is constructed.

The spline function is used in the analysis of free vibration problem of plates on elastic foundation.

This paper presents a interpolation algorithm based on NURBS(Non-Uniform Rational B Spline).

adapter or the pinion gear wrench assembly on the internal spline on the gearbox.

In this article is presented an evenly resample algorithm based on cubic spline. Then a new more intuitive model is also presented.

The second algorithm is to resize an image based on biquadratic B-spline local interpolation.

Change the way a cardinal spline bends by passing a tension argument to the DrawCurve method.

Based on the generalized B-spline blending functions and G1 continuous conditions, the blending matrices are derived.

By the graphic method, the slip-line field of plastically deformation area in external spline cold rolling process was set up.

An example of shift invariant bi-orthogonal filter is given to overcome the problem occurring in 4 order B-spline half delay operator.

A modified shift method is presented based on cubic spline function and least square method.

The Effect Coefficient of Gear Tooth (ECGT) is an important parameter while the flex spline's fatigue strength is studied.

Creates an array of four points to define a spline.

The model, that is a deformable B-spline curve, is deformable operated by internal energy and external energy.

Adds a spline curve to the current figure.

Spline axes's price of the SEYDEL679 is higher currently, its price is 2100 yuan RMB, and wasting quantity is very great.

Chapter 5 based on the definition of Disk B-spline curves studies the knot insertion algorithm of Disk B-spline curves .

In this paper, a method of detecting rocket image edges based on B spline function is presented.

The scope of application of Spline FEM is greatly broadened. 2.

Carl De Boor A Practical Guide to Spline .

In this paper, an algorithm for constructing rational spline curve, which was tangent to the given polygon, was described.

The conclusion from this work is that B-spline wavelets have approximately the best support in time-frequency space.

The following code example shows how to draw a cardinal spline that passes through the points in myPointArray.

The tension is shown for each spline.

Cubic spline function fitting is a good method in the curve fitting because it is characterized by very good subsection smoothness.

Spline FEM is simpler and more convenient than FEM for strip which is elastic structures on regular regions. 1.

First, arc fitting and B-spline fitting are carried out based on least square method.

The designer could then create a curve by drawing along the spline with a pen or pencil.

A cardinal spline curve is used because the curve travels through each of the points in the array.

In order to correct the barrel distortion of wide-angle lens, a new method based on spline function was proposed.

A algorithm based on CB-spline curves is presented for 3D reconstruction of 3D objects.

Taking a spline hob for example, this paper analyses the normal tooth measuring profile on hob in theory.

For example, in one embodiment, a CVT includes a shaft (624) having a spline (628) and a shift flange (609).

the output gear sleeve is arranged in an axial hole of the shell and is provided with an involute spline;

Resolution of High-Noisy Overlapped Analytical Signals by Means of Continuous Spline Wavelet Transform

Asymptotic Property of a Class of Quadratic Compactly Supported Spline Wavelet Interpolation

Study of Non-uniform B-Spline Least Squares and Its Applications in Regional Gravity Field

Constructing Affine Transformation Matrix with Bivariate B-spline Extension Function for Facilitating Deformation of Parametric Surfaces

Spline Estimation for Partially Linear Autoregressive Models with an Exogenous Variable

Hot powder forging of converter spline used for automobile

The following example draws and fills a path that consists of an arc, a cardinal spline, a string, and a pie

Approximate uniting of two adjacent B-spline curves through knot adjustment and constrained optimization

Power quality disturbance detection and identification using Chirplet transform with trigonometric spline kernels

An iterative regularization method with B-spline approximation for atmospheric temperature and concentration retrievals

Construction of Spline Wavelet Bases and Its Application in Chinese Signature Identification

Simple Analysis of a Class of Cubic Compactly Supported Spline Wavelet Interpolation

The surface development method based on B-spline and geometrical mapping

Analysis of a Class of Cubic Compactly Supported Spline Wavelet Interpolation Error

Application of B-spline Function Bases in the Investigation of Quantum Size Effects of the Semiconductor Crystallites Quantum Dots

Electromechanical Stress and Strain Analysis of Piezoelectric Intelligent Beam by Intelligent Spline Finite Point Method

Symmetrical Variable Curvature Circular Arc Curve and Its Application in Circular Arc Spline Curve

except for method of spline interpolation , mra method are used to resolve numerical approximation problems , too

A Method of Analysis of the Soil under Foundation by Coupling the Spline Finite Element Method and Semi-Analytical Infinite Element Method

Study of Impact on the Stress of Spline Axis when Selecting Material of Electric Submersible Pump Set

A Grey Forecasting Theory of Non-isometric Time Sequence Insert Numerical Value Model on Three-curved Moment of Force Spline Function

Study on transition between sections of B-Spline curves used in direct interpolation algorithm

Solution of partial differential equation with cubic spline interval wavelet and differential approximation

Further Discussion on Numerical Differentiation and Numerical Integration Using Cubic Spline Function

Region control and approximation properties of a rational cubic spline

A Fast Algorithm for Inserting a Series of Knots into a B-spline Curve Simultaneously

Spline Wavelet Self-convolution in Processing Electroanalysis Overlapping Signals

Difference Equation And Asymptotic Expansion of The Error for Odd Cardinal Spline- on- Spline Interpolation

The Application of Cubic Spline Functions to Searching for the Initial Iteration Values of Reaction Kinetic Rate Constants

An Improved leaning algorithm for B-spline network is applied to nonlinear time series prediction problem

Surface Construction Over Large Scale Scattered Data Using Parametric Spline Interpolation and Hole Filling Approach

Feature and Application of an Internal Spline with Broaching Hard Pitch Surface and Involute in Substep

Spline Function Assessment of Prior Distribution for Complex System Bayesian Reliability Evaluation

Formulistic method of spline boundary element in inhomogeneous media and its application

A Stable High Accuracy Smoothing Method by Spline Function for Differentiation of Approximately Specified Functions

The formula of single tooth stiffness coefficient of the flex spline and the meshing stiffness of the harmonic drive is deduced firstly;

Inverted analysis on spline boundary displacement of inhomogeneous viscoelastic medium

Research on approximation from tabulated curve by parametric spline interpolating in NC manufacturing process

When the gear rack is free from exogenic action, the upper master body and the lower master body are connected together by a spline;

Investigation of the properties of Rydberg states for alkali metal atoms in static electric field by B-spline functions

Finding cubic spline interpolating functions automatically

A Spline Geometric Deformable Model and Its Application in Liver Segmentation from CT Images

An Algorithm of Finite Spline Model for Thin Plate Stress Influence Function and Its Application

Elastic Analysis of Orthotropic Plane Problems by the Spline Fictitious Boundary Element Method

Spline Convolution for Resolving Chromatographic Overlapped Peaks

The driving sprocket is installed below the molding cam and is connected with the spline main shaft;

Spline Solution of Nonlinear Stability of Revolving Shallow Shells with Arbitrarily Variable Thickness

Inverse Spline Interpolation for the Calculation of All-Time Resistivity for the Large-Loop Transient Electromagnetic Method

Statistical properties response analysis of antisymmetric angle-ply laminated plates by using spline collocation method

Application of Cubic Spline Interpolating Function to Calculation of Drainage Capillary Pressure

Formulistic method of spline boundary element back-analysis for inhomogeneous viscoelasticity media

The construction and application of a type of constrained cubic spline

Studies of quantum confinement effects of excitons in semiconductor crystallites with the B-spline Technique

Spline solution of nonlinear axisymmetrical buckling of an annular thin plate

Research on the information model and implement strategy of distortion describe of spline finite strip by using intelligent Agent technology

Assessing Proportional Hazards Assumption in Cox Regression Models Using Cubic Spline Functions

Numerical Stability and Error Estimate of the Spline Fictitious Boundary Element Method

Curve Fairing with Arbitrary Number of Control Vertices by Semi-Orthogonal B-Spline Wavelets

Fourth-order cardinal B-spline wavelets for the simulation of earthquake ground motion acceleration

Self-adaptive Spline Filter Approach for Trajectory Determination by Velocity Measurement

Semiparametric Regression Model With Natural Spline and Systematic Error Estimation

Optimal tracking control of the output probability density functions: square root B-spline model

Application of B-spline Wavelet Transforms in Process Analysis with Aircraft Ejection Acceleration Signal

The necessary and sufficient conditions for shape preserving of a kind of parametric rational circular arc spline

Spline Wavelet Self-Convolution Combined with Quadratic Differential for Processing Overlapped Voltammetric Peaks

Construction of Nonparametric Regression Method Smoothing Spline of Growth Curves for Children

Introduction of cubic spline interpolation and its solution;

Research of Direct Sifting EMD Based on Cubic B-Spline Interpolation Curve and Its Application in Processing Mechanical Vibrating Signals

Spline-function method for the dynamic response of the elastic foundation plates

The application of cubic spline different quotient interpolation to kinetic study on the hydrolysis of methyl acetate

Optimal design of cam profile by means of non-uniform B-spline curve

Degree Reduction of B-Spline Curves Using Perturbations Constraint and Least Squares Approximation

Theoretical Calculation and Simulation Analysis on Rolling Contact Area of External Spline Cold Rolling

Optimal B-Spline Approximation of Intersection Curves of Two Surfaces

Spline Least Squares with Two Variables and Its Application in Cartography