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SplineBuilderLibrary.md

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Spline Builder Library

Spline Builder Library contains the Functionality for constructing Spline Based Curves and Surfaces.

Documentation

Document Link
Technical Specification Latest Previous
User Guide
API Javadoc

Component Projects

  • Spline => Basis Splines and Linear Compounders across a Broad Family of Spline Basis Functions.

Coverage

  • Overview
    • Framework Symbology and Terminology
    • Motivation
    • Document Layout
    • References
  • Calibration Framework
    • Introduction
    • Latent State Specification
  • Spline Builder Setup
    • Design Objectives behind Interpolating Splines
    • Base Formulation
    • References
  • B Splines
    • Introduction
    • B Spline Derivatives
    • References
  • Polynomial Spline Basis Function
    • Polynomial Spline Basis Function
    • Bernstein Polynomial Basis Function
    • References
  • Local Spline Stretches
    • Local Interpolating/Smoothing Spline Stretches
    • Space Curves and Loops
    • References
  • Spline Stretch Calibration
    • Introduction
    • Smoothing Best Fit Splines
    • Segment Best Fit Response with Constraint Matching
  • Spline Jacobian
    • Introduction
    • Optimizing Spline Basis Function Jacobian
    • Spline Input Quote Sensitivity Jacobian
  • Shape Preserving Spline
    • Shape Preserving Tension Spline
    • Shape Preserving /nu Spline
    • Alternate Tension Spline Formulations
    • References
  • Koch Lyche Kvasov Tension Splines
    • Introduction
    • References
  • Smoothing Splines
    • Penalty Minimization Risk Function
    • Smoothing Splines Setup
    • Ensemble Averaging vs. Basis Spline Representation
    • Least Squares Exact Fit + Curvature + Segment Length Penalty Formulation
    • Alternate Smootheners
    • References
  • Multi Dimensional Splines
    • References

DROP Specifications