I need to draw a cubic C^2 continous, closed (periodic boundary conditions) B-spline which should interpolate a set of control points. If possible it would be great if I could specify the knot vector. Is there any programm or application which can do this? I already wrote something in Mathematica by myself but I'm not sure whether it's correct.
2026-03-25 09:46:30.1774431990
Application for interpolating periodic B-spline
1k Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in INTERPOLATION
- Almost locality of cubic spline interpolation
- Reverse Riesz-Thorin inequality
- How to construct a B-spline from nodal point in Matlab?
- Show that there is a unique polynomial of degree at most $2n+1$ such that $q^{[k]}(x_1)=a_k,$ $q^{[k]}(x_2)=b_k$ for $k=0, \dots, n$.
- Show that there is a unique polynomial of degree at most $2k+1$ such that $p^{[j]}(x_1)=a_j \text{ and } p^{[j]}(x_2)=b_j \text{ for } j=0,\dots, k.$
- How to find x intercept for a polynomial regression curve(order 7)
- Quadrature rules estimation
- How to obtain generalized barycentric coordinates for n-sided polygon?
- the highest degree of the polynomial, for which the above formula is exact?
- Interpolation method that gives the least arc lenght of the curve.
Related Questions in APPLICATIONS
- Transition from theory of PDEs to applied analysis and industrial problems and models with PDEs
- Applied Maths: Equations of Motion
- What precisely is the Friendship Paradox (and is Wikipedia wrong?)
- Calculating half life from proteins
- Cryptocurrency Math
- Linear algebra book revolved around modern day applications.
- What will/should be the intention or purpose to compute and count prime numbers in the gap defined by two consecutive and large Mersenne primes?
- Gegenbauer functions and applications (esp. circular envelope special case)?
- How to prove that an application is invertible
- Closed form of $I(a)=\int_{0}^a {(e^{-x²})}^{\operatorname{erf}(x)}dx $ and is it behave similar with error function?
Related Questions in PERIODIC-FUNCTIONS
- Is the professor wrong? Simple ODE question
- The system $x' = h(y), \space y' = ay + g(x)$ has no periodic solutions
- Show that a periodic function $f(t)$ with period $T$ can be written as $ f(t) = f_T (t) \star \frac{1}{T} \text{comb}\bigg(\frac{t}{T}\bigg) $
- Is $x(t) = \sin(3t) + \cos\left({2\over3}t\right) + \cos(\pi t)$ periodic?
- To show $\int_{a}^{a+T} f(x)dx$ is independant in $a$
- Is the function $f(t)=\sin(\omega_0 t+\phi_0(t))$ periodic?
- Periodic function notation, need help with a fundamental concept
- Time dependent differential equation system with periodicity
- Let $f: \mathbb{R} \to \mathbb{R}$ and $\exists \ \ b \in \mathbb{R} : f(x+b)=\sqrt{f(x)-f^2(x)}+\frac{1}{2}$
- Compute the period of this function $f(x)=7+3\cos{(\pi x)}-8\sin{(\pi x)}+4\cos{(2\pi x)}-6\sin{(2\pi x)}$
Related Questions in SPLINE
- Approximate spline equation with Wolfram Mathematica
- Almost locality of cubic spline interpolation
- inhomogeneous coordinates to homogeneous coordinates
- Can the relocation of one control point of a NURBS curve be compensated by an adjustment of some weights?
- How to construct a B-spline from nodal point in Matlab?
- Evaluation the interpolation polynomial at $x$
- Book suggestions on B-spline method for solving differential equations
- C2 continuous Bezier contour.
- Formula for the partial derivative of a bivariate tensor-product spline on a grid of points
- Integral of two zero-order spline basis functions
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
You can find a lot of information with regards to b-splines in a "fast and efficient" approach here
You will need the basics of the theory in order to do what you want, since no package that I know off does "exactly" what you need, they only provide you with the tools to build what you want. With regards to your question if there is available software, yes there are a lot of them that have packages that handle b-splines.
In C/C++ you can try a simple implementation from GSL (you can import this library in Python as well, google GSL bsplines).
There is also an excellent free book accompanied with software from MIT here (in the bottom of the page, link for the software package)
this may be more complicated than what you need - it is more oriented towards CAD.
In Matlab you can find the splines toolbox written by de Boor himself, and of course in fortran there are the first routines in pppack from de Boor.
There is also an implementation in R programming language (google b-splines R).
In all the above programs you can provide the knot vector, in some cases with limitations (e.g. multiplicity of first/last knot may be fixed). Mathematica has great support for B-splines. Apologies for not providing links for all the above information, the system does not allow me to post more than two ("reputation" limitations).
If you want to implement your own algorithms, try the book "The NURBS book", Piegle and Tiller, excellent reference, with any algorithm you may wish. There are more libraries out there, just google for NURBS, since they are the industry standard and encapsulate b-splines.