Class BSpline

java.lang.Object

org.episteme.core.mathematics.geometry.curves.BSpline

public class BSpline
extends Object

B-spline curve (Basis spline).

A B-spline is a smooth piecewise polynomial curve defined by control points and a knot vector. It provides local control - moving a control point only affects a limited portion of the curve.

This implementation supports uniform B-splines of degree p (order p+1). The curve is defined by: - n+1 control points: P₀, P₁, ..., Pₙ - Degree p (typically 2 for quadratic, 3 for cubic) - Knot vector with m+1 values: t₀, t₁, ..., tₘ where m = n + p + 1

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
BSpline(List<Vector<Real>> controlPoints, int degree)	Creates a uniform B-spline with the given control points and degree.
BSpline(List<Vector<Real>> controlPoints, int degree, List<Real> knotVector)	Creates a B-spline with custom knot vector.

Method Summary

Modifier and Type	Method	Description
Vector<Real>	evaluate(Real t)
Vector<Real>	tangent(Real t)

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

BSpline

public BSpline(List<Vector<Real>> controlPoints,
 int degree)

Creates a uniform B-spline with the given control points and degree.

Parameters:

controlPoints - the control points

degree - the degree (2 = quadratic, 3 = cubic)

BSpline

public BSpline(List<Vector<Real>> controlPoints,
 int degree,
 List<Real> knotVector)

Creates a B-spline with custom knot vector.

Parameters:

controlPoints - the control points

degree - the degree

knotVector - the knot vector

Method Details

evaluate

public Vector<Real> evaluate(Real t)

tangent

public Vector<Real> tangent(Real t)