I am trying to interpolate monotone data with known data values and also known first derivative values at knots. If I used these values with cubic Hermite spline interpolation, Can I guarantee the monotonicity of the interpolation segments?
2026-03-25 08:10:52.1774426252
Does the cubic Hermite spline interpolation of a monotone data with known slopes guarantee the monotonicity in interpolation segments?
336 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 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
Related Questions in PIECEWISE-CONTINUITY
- Continuity of composite functions.
- Multivariable piecewise function optimization
- Find $k$ so that the following function is constant on any interval
- Piecewise functions in MATLAB. Help!
- Piecewise functions "overlap"
- To check whether the function is piecewise continuous or not
- Is function $f(x) = \frac{x^{2}-2}{x-\sqrt{2}}$ continuous for all $x$?
- How does Raph Levien's Spiro choose angles for the ends of a path?
- Let $x_1,x_2,...,x_n$ be n points in $\mathbb{R}^m$. Is the function $F(w)=max(w^Tx_1,w^Tx_2,...,w^Tx_n)$ differentiable for all $w$?
- Find all $x\in\mathbb R$ that satisfy the equation $|x| − |x − 1| = 1/2$ . Sketch the graph of the equation $y = |x| − |x − 1|$
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?
No, straightforward Hermite cubic interpolation does not guarantee monotonicity. However, there are other piecewise polynomial interpolation methods that do preserve monotonicity. Look up terms like "monotone spline" or "monotone interpolation". Here is one reference, which describes the Fritsch-Carlson method.