de.grogra.math
Class BSpline
java.lang.Object
de.grogra.math.BSpline
public final class BSpline
- extends java.lang.Object
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Method Summary |
static void |
calculateBasisFunctions(float[] out,
int p,
KnotVector knots,
int kd,
int span,
float u,
GraphState gs,
float[] left,
float[] right)
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static void |
calculateDerivatives(float[] out,
int p,
KnotVector knots,
int kd,
int span,
float u,
int n,
GraphState gs,
float[] left,
float[] right,
float[] ndu)
Computes B-Spline basis functions and their derivatives
at a given parameter value. |
static void |
calculateKnotsAndParameters(float[] points,
int n,
int d,
int p,
boolean centripetal,
KnotVectorImpl knots,
float[] params)
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static void |
decompose(BSpline.BezierPatchVisitor v,
BSplineSurface surface,
boolean normalizeUV,
GraphState state,
VertexGridImpl controlPointsOut)
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static void |
decompose(BSpline.BezierSegmentVisitor v,
BSplineCurve curve,
boolean normalizeU,
GraphState gs)
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static void |
decomposeSplineConnection(BSpline.BezierSegmentVisitor v,
BSplineCurve curve,
Pool pool2,
GraphState gs)
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static void |
evaluate(float[] out,
BSplineCurve curve,
float u,
GraphState gs)
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static void |
evaluate(float[] out,
BSplineSurface surface,
float u,
float v,
GraphState gs)
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static int |
findSpan(int n,
int p,
float u,
KnotVector knots,
int kd,
GraphState gs)
Determines the knot span index i for B-Spline basis functions. |
static float |
getDefaultKnot(int size,
int degree,
boolean periodic,
boolean bezier,
int index)
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static void |
interpolate(float[] points,
int n,
int d,
int p,
KnotVectorImpl knots,
float[] params,
float[] tmp,
float[] left,
float[] right)
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static boolean |
isValid(BSplineCurve curve,
GraphState gs)
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static boolean |
isValid(BSplineSurface surface,
GraphState gs)
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static int[] |
makeCompatible(FloatList out,
BSplineCurveList curves,
float knotEps,
int dimension,
boolean makeRational,
GraphState gs)
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static void |
makeDefaultKnotVector(float[] knots,
int offset,
int size,
int degree,
boolean periodic)
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static void |
raiseDegreeInsertKnots(BSplineCurve curve,
boolean leftclamped,
int[] multiplicity,
int resDegree,
float[] resKnots,
int[] resMultiplicity,
float[] verticesOut,
GraphState gs,
float[] tmp)
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static void |
refineKnotVector(BSplineCurve curve,
float[] newKnots,
float[] knotsOut,
int ki,
float[] verticesOut,
int vi,
GraphState gs,
float[] tmp)
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static int |
set(float[] out,
float c0,
float c1)
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static int |
set(float[] out,
float c0,
float c1,
float c2)
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static int |
set(float[] out,
float c0,
float c1,
float c2,
float c3)
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static int |
set(float[] out,
float c0,
float c1,
float c2,
float c3,
float c4,
float c5)
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static int |
set(float[] out,
float c0,
float c1,
float c2,
float c3,
float c4,
float c5,
float c6)
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static void |
set(Tuple4f out,
float[] in,
int n,
boolean w)
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static void |
set(Tuple4f out,
float[] in,
int offset,
int n,
boolean w)
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| Methods inherited from class java.lang.Object |
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
SPLINE_PLANE_TYPE
public static final EnumerationType SPLINE_PLANE_TYPE
calculateBasisFunctions
public static void calculateBasisFunctions(float[] out,
int p,
KnotVector knots,
int kd,
int span,
float u,
GraphState gs,
float[] left,
float[] right)
calculateDerivatives
public static void calculateDerivatives(float[] out,
int p,
KnotVector knots,
int kd,
int span,
float u,
int n,
GraphState gs,
float[] left,
float[] right,
float[] ndu)
- Computes B-Spline basis functions and their derivatives
at a given parameter value. The computed values are written
to
out: The
k-th derivative of the r-th basis function is written to the
component with index k * (p + 1) + (r + p - span).
Note that only the basis functions with
span - p <= r <= span are computed (because the
others are zero).
- Parameters:
out - the computed basis functions and derivates are written
to this arrayp - the degree of the basis functionsknots - the knot vectorkd - the dimension-argument for the knot vectorspan - the span index of the knot vectoru - the parametern - compute up to the n-th derivativegs - the GraphState contextleft - a temporary array, minimal size is p + 1right - a temporary array, minimal size is p + 1ndu - a temporary array, minimal size is
(p + 1)2
calculateKnotsAndParameters
public static void calculateKnotsAndParameters(float[] points,
int n,
int d,
int p,
boolean centripetal,
KnotVectorImpl knots,
float[] params)
decompose
public static void decompose(BSpline.BezierPatchVisitor v,
BSplineSurface surface,
boolean normalizeUV,
GraphState state,
VertexGridImpl controlPointsOut)
decompose
public static void decompose(BSpline.BezierSegmentVisitor v,
BSplineCurve curve,
boolean normalizeU,
GraphState gs)
decomposeSplineConnection
public static void decomposeSplineConnection(BSpline.BezierSegmentVisitor v,
BSplineCurve curve,
Pool pool2,
GraphState gs)
evaluate
public static void evaluate(float[] out,
BSplineCurve curve,
float u,
GraphState gs)
evaluate
public static void evaluate(float[] out,
BSplineSurface surface,
float u,
float v,
GraphState gs)
findSpan
public static int findSpan(int n,
int p,
float u,
KnotVector knots,
int kd,
GraphState gs)
- Determines the knot span index i for B-Spline basis functions.
It is determined such that
ti <= u < ti+1, where t is the knot
vector.
- Parameters:
n - the number of control points minus onep - the degree of the basis functions.u - the parameterknots - the knot vectorkd - the dimension-argument for the knot vectorgs - the GraphState context
- Returns:
- the span index i`
getDefaultKnot
public static float getDefaultKnot(int size,
int degree,
boolean periodic,
boolean bezier,
int index)
interpolate
public static void interpolate(float[] points,
int n,
int d,
int p,
KnotVectorImpl knots,
float[] params,
float[] tmp,
float[] left,
float[] right)
isValid
public static boolean isValid(BSplineCurve curve,
GraphState gs)
isValid
public static boolean isValid(BSplineSurface surface,
GraphState gs)
makeCompatible
public static int[] makeCompatible(FloatList out,
BSplineCurveList curves,
float knotEps,
int dimension,
boolean makeRational,
GraphState gs)
makeDefaultKnotVector
public static void makeDefaultKnotVector(float[] knots,
int offset,
int size,
int degree,
boolean periodic)
raiseDegreeInsertKnots
public static void raiseDegreeInsertKnots(BSplineCurve curve,
boolean leftclamped,
int[] multiplicity,
int resDegree,
float[] resKnots,
int[] resMultiplicity,
float[] verticesOut,
GraphState gs,
float[] tmp)
refineKnotVector
public static void refineKnotVector(BSplineCurve curve,
float[] newKnots,
float[] knotsOut,
int ki,
float[] verticesOut,
int vi,
GraphState gs,
float[] tmp)
set
public static int set(float[] out,
float c0,
float c1)
set
public static int set(float[] out,
float c0,
float c1,
float c2)
set
public static int set(float[] out,
float c0,
float c1,
float c2,
float c3)
set
public static int set(float[] out,
float c0,
float c1,
float c2,
float c3,
float c4,
float c5)
set
public static int set(float[] out,
float c0,
float c1,
float c2,
float c3,
float c4,
float c5,
float c6)
set
public static void set(Tuple4f out,
float[] in,
int n,
boolean w)
set
public static void set(Tuple4f out,
float[] in,
int offset,
int n,
boolean w)