Interpolation Tools
Browse all available interpolation tools.
Available tools
- Affine Knot Parameter Tool Resolve an affine segment parameter, preserving extrapolation outside the knot interval.
- Barycentric Node Weight Common Scale Invariance Tool Scale one barycentric weight by the same nonzero factor used for every node; normalized interpolation is invariant.
- Barycentric Single Node Influence Ratio Tool Compute barycentric single node influence ratio from explicit bounded inputs.
- Barycentric Weight Node Deletion Factor Tool Calculate barycentric weight node deletion factor from explicit caller-supplied inputs.
- Bilinear Cell Mixed Difference Tool Compute bilinear cell mixed difference from explicit bounded inputs.
- Bilinear Corner Node Sensitivity Tool Calculate bilinear corner node sensitivity from explicit caller-supplied inputs.
- Bilinear Cross Term Corner Contrast Tool Calculate bilinear cross term corner contrast from explicit caller-supplied inputs.
- Bilinear Interpolation Calculator Interpolate a value inside a unit of a 2x2 grid from its four corner values.
- Bilinear Level Set Edge Intersection Tool Calculate bilinear level set edge intersection from explicit caller-supplied inputs.
- Bilinear Level Set Saddle Sign Tool Stationary saddle and sign of a target level relative to its value for a+bx+cy+dxy.
- Bilinear Saddle Stationary Coordinate Tool Calculate bilinear saddle stationary coordinate from explicit caller-supplied inputs.
- Cubic Bezier Control Point Sensitivity Tool Calculate cubic bezier control point sensitivity from explicit caller-supplied inputs.
- Cubic Hermite Endpoint Curvature Term Tool Calculate cubic hermite endpoint curvature term from explicit caller-supplied inputs.
- Cubic Hermite Endpoint Tangent Units Tool Calculate cubic hermite endpoint tangent units from explicit caller-supplied inputs.
- Cubic Hermite Interpolation Calculator Interpolate between two values with specified tangents using cubic Hermite basis functions.
- Exponential Interpolation Calculator Interpolate between two points along an exponential curve of constant ratio.
- Extrapolation Distance In Knot Units Tool Measure supplied extrapolation distance in one positive knot-interval unit without evaluating an interpolant.
- Hermite Endpoint Data Continuity Gap Tool Calculate hermite endpoint data continuity gap from explicit caller-supplied inputs.
- Hermite Endpoint Slope Residual Tool Compare one Hermite endpoint derivative to a supplied slope, resolving derivatives with respect to normalized segment parameter versus x.
- Hermite Slope Scale Sign Tool Transform a Hermite derivative under an explicitly oriented affine coordinate change.
- Hermite Tangent Dimensionless Step Factor Tool Compute hermite tangent dimensionless step factor from explicit bounded inputs.
- Impulse Basis Node Exactvalue Label Tool Calculate impulse basis node exactvalue label from explicit caller-supplied inputs.
- Interpolant Endpoint Continuity Residual Tool Compare supplied one-sided interpolant limits; continuity is exact numeric equality, with no inferred tolerance.
- Interpolant Extrapolated Weight Sign Tool Compute interpolant extrapolated weight sign from explicit bounded inputs.
- Interpolation Cell Normalized Coordinate Gradient Tool Calculate interpolation cell normalized coordinate gradient from explicit caller-supplied inputs.
- Interpolation Node Origin Shift Tool Calculate interpolation node origin shift from explicit caller-supplied inputs.
- Interpolation: Barycentric Node Weight Sign Tool Determine the barycentric interpolation weight sign for one index in explicitly increasing distinct real nodes, without forming unstable products.
- Interpolation: Bernstein Basis Single Index Tool Evaluate one bounded-degree Bernstein basis with exact combinatorial coefficient and explicit endpoint powers, including degree-zero constant basis.
- Interpolation: Clamped Interpolant Endpoint Value Tool Resolve endpoint clamping only, retaining an explicit interior-needs-interpolation flag and unused zero value rather than inventing an interior interpolant.
- Interpolation: Cubic Hermite Basis Derivative Tool Return analytic derivatives of the four normalized cubic Hermite basis polynomials with respect to local t; physical x derivatives require caller-supplied interval scaling.
- Interpolation: Cubic Hermite Four Basis Values Tool Return all four cubic Hermite basis values by evaluating the existing reviewed interpolator on four unit coefficient vectors; no duplicate basis formulas.
- Interpolation: Interpolation Duplicate Node Value Conflict Tool Inspect one exact duplicate-node pair for inconsistent values under explicit absolute value tolerance; no node merging or spline construction.
- Interpolation: Interpolation Grid Cell Fractions Tool Compute per-axis local coordinates only inside one explicit nondegenerate axis-aligned cell; not a multidimensional interpolant or extrapolator.
- Interpolation: Interpolation Knot Multiplicity Count Tool Count exact target multiplicity in a caller-supplied nondecreasing knot vector; no tolerance-based merging or spline fit.
- Interpolation: Monotone Endpoint Slope Clamp Tool Apply a local monotone endpoint slope limiter: zero opposite-sign candidates and cap magnitude at three times the adjacent secant; not a full monotone spline fit.
- Interpolation: Piecewise Knot Side Selection Tool Select a piecewise interval at one sorted distinct knot grid with explicit left/right interior-knot tie convention; exterior points return index -1.
- Interpolation: Quadratic Lagrange Basis At Point Tool Evaluate one quadratic Lagrange cardinal basis polynomial at a supplied x on exactly three distinct nodes; permits extrapolation without fitting or a general engine.
- Interpolation: Quaternion Nlerp Normalization Factor Tool Compute the raw blend norm and normalized quaternion for nlerp of explicit unit quaternions, with optional hemisphere alignment; antipodal zero blends are rejected.
- Interpolation: Repeated Node Derivative Label Tool Convert one supplied repeated-node derivative into its confluent divided-difference value f^(k)/k!, with occurrence zero denoting function value.
- Inverse Distance One Weight Normalization Tool Calculate inverse distance one weight normalization from explicit caller-supplied inputs.
- Inverse Interpolation Flat Segment Flag Tool Calculate inverse interpolation flat segment flag from explicit caller-supplied inputs.
- Inverse Linear Extrapolation Domain Flag Tool Calculate inverse linear extrapolation domain flag from explicit caller-supplied inputs.
- Inverse Linear Interpolation Calculator Find the interpolation parameter corresponding to a value between two endpoints.
- Knot Coalescence Distance Tool Calculate knot coalescence distance from explicit caller-supplied inputs.
- Knot Spacing Geometric Ratio Tool Calculate knot spacing geometric ratio from explicit caller-supplied inputs.
- Lagrange Basis Leading Coefficient Tool Calculate lagrange basis leading coefficient from explicit caller-supplied inputs.
- Linear Bracket Local Coordinate Tool Return the unit local coordinate of a query inside an increasing interpolation bracket; both endpoints are included.
- Linear Extrapolation Horizon Amplification Tool Calculate linear extrapolation horizon amplification from explicit caller-supplied inputs.
- Linear Interpolant Integral One Cell Tool Calculate linear interpolant integral one cell from explicit caller-supplied inputs.
- Linear Interpolant Inverse Sensitivity Tool Calculate linear interpolant inverse sensitivity from explicit caller-supplied inputs.
- Linear Interpolant Midpoint Symmetry Gap Tool Calculate linear interpolant midpoint symmetry gap from explicit caller-supplied inputs.
- Linear Interpolant Node Position Sensitivity Tool Compute linear interpolant node position sensitivity from explicit bounded inputs.
- Linear Interpolant Node Value Sensitivity Tool Compute linear interpolant node value sensitivity from explicit bounded inputs.
- Linear Interpolation Calculator Interpolate between two values using a finite parameter.
- Linear Node Exact Hit Policy Tool Interpolate in a strictly increasing two-node bracket while returning the supplied endpoint value exactly on a node hit.
- Log Linear Midpoint Geometric Value Tool Calculate log linear midpoint geometric value from explicit caller-supplied inputs.
- Monotone Linear Segment Direction Tool Calculate monotone linear segment direction from explicit caller-supplied inputs.
- Neville Single Table Cell Update Tool Compute neville single table cell update from explicit bounded inputs.
- Newton Basis Zero Factor Witness Tool Calculate newton basis zero factor witness from explicit caller-supplied inputs.
- Newton Divided Difference Append Term Tool Calculate newton divided difference append term from explicit caller-supplied inputs.
- Normalized Hermite Endpoint Value Tool Return the selected endpoint value of a normalized Hermite segment without evaluating interior tangents.
- Periodic Node Coordinate Wrap Wrap an explicit node coordinate into a supplied origin-inclusive periodic interval without interpolating values.
- Piecewise Linear One Knot Curvature Tool Calculate piecewise linear one knot curvature from explicit caller-supplied inputs.
- Quadratic Barycentric Pole Residue Tool Residues of the numerator and denominator barycentric sums at one of three distinct interpolation nodes.
- Quadratic Interpolant One Node Residual Tool Compute quadratic interpolant one node residual from explicit bounded inputs.
- Quadratic Interpolation One Abscissa Difference Tool Calculate quadratic interpolation one abscissa difference from explicit caller-supplied inputs.
- Quadratic Midpoint Error From Curvature Tool Calculate quadratic midpoint error from curvature from explicit caller-supplied inputs.
- Slerp Near Parallel Branch Margin Tool Compute slerp near parallel branch margin from explicit bounded inputs.
- Spline Control Point Endpoint Weight Tool Endpoint control-point weight for a clamped single-span Bernstein/Bezier polynomial.
- Spline Endpoint Clamped Weight Pair Tool Return the endpoint slope corrections to a secant from cubic-spline endpoint second derivatives.
- Spline Knot Interval Zero Span Flag Tool Compute spline knot interval zero span flag from explicit bounded inputs.