RadialBasisRegressionF Class

Scattered Interpolation using multiple regression analysis with radial basis functions (single-precision).

Inheritance Hierarchy

SystemObject
  System.Collections.ObjectModelCollectionPairVectorF, VectorF
    DigitalRune.Mathematics.InterpolationScatteredInterpolationF
      DigitalRune.Mathematics.InterpolationRadialBasisRegressionF

Namespace: DigitalRune.Mathematics.Interpolation
Assembly: DigitalRune.Mathematics (in DigitalRune.Mathematics.dll) Version: 1.14.0.0 (1.14.0.14427)

Syntax

C++

Copy

public class RadialBasisRegressionF : ScatteredInterpolationF

Public Class RadialBasisRegressionF
	Inherits ScatteredInterpolationF

public ref class RadialBasisRegressionF : public ScatteredInterpolationF

type RadialBasisRegressionF =  
    class
        inherit ScatteredInterpolationF
    end

The RadialBasisRegressionF type exposes the following members.

Constructors

	Name	Description
	RadialBasisRegressionF	Initializes a new instance of the RadialBasisRegressionF class

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Methods

	Name	Description
	Add	Adds an object to the end of the CollectionT. (Inherited from CollectionPairVectorF, VectorF.)
	Clear	Removes all elements from the CollectionT. (Inherited from CollectionPairVectorF, VectorF.)
	ClearItems	Removes all elements from the CollectionT. (Inherited from ScatteredInterpolationF.)
	Compute	Computes a y value for the specified x value using scattered interpolation. (Inherited from ScatteredInterpolationF.)
	Contains	Determines whether an element is in the CollectionT. (Inherited from CollectionPairVectorF, VectorF.)
	CopyTo	Copies the entire CollectionT to a compatible one-dimensional Array, starting at the specified index of the target array. (Inherited from CollectionPairVectorF, VectorF.)
	Equals	Determines whether the specified Object is equal to the current Object. (Inherited from Object.)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
	GetEnumerator	Returns an enumerator that iterates through the CollectionT. (Inherited from CollectionPairVectorF, VectorF.)
	GetHashCode	Serves as a hash function for a particular type. (Inherited from Object.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	IndexOf	Searches for the specified object and returns the zero-based index of the first occurrence within the entire CollectionT. (Inherited from CollectionPairVectorF, VectorF.)
	Insert	Inserts an element into the CollectionT at the specified index. (Inherited from CollectionPairVectorF, VectorF.)
	InsertItem	Inserts an element into the CollectionT at the specified index. (Inherited from ScatteredInterpolationF.)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	OnCompute	Called when Compute(VectorF) is called. (Overrides ScatteredInterpolationFOnCompute(VectorF).)
	OnSetup	Called when Setup is called. (Overrides ScatteredInterpolationFOnSetup.)
	Remove	Removes the first occurrence of a specific object from the CollectionT. (Inherited from CollectionPairVectorF, VectorF.)
	RemoveAt	Removes the element at the specified index of the CollectionT. (Inherited from CollectionPairVectorF, VectorF.)
	RemoveItem	Removes the element at the specified index of the CollectionT. (Inherited from ScatteredInterpolationF.)
	SetItem	Replaces the element at the specified index. (Inherited from ScatteredInterpolationF.)
	Setup	Prepares the scattered interpolation. (Inherited from ScatteredInterpolationF.)
	ToString	Returns a string that represents the current object. (Inherited from Object.)

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Properties

	Name	Description
	BasisFunction	Gets or sets the basis function.
	Count	Gets the number of elements actually contained in the CollectionT. (Inherited from CollectionPairVectorF, VectorF.)
	DistanceFunction	Gets or sets the distance function.
	Item	Gets or sets the element at the specified index. (Inherited from CollectionPairVectorF, VectorF.)
	Items	Gets a IListT wrapper around the CollectionT. (Inherited from CollectionPairVectorF, VectorF.)

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Explicit Interface Implementations

	Name	Description
	IListAdd	Adds an item to the IList. (Inherited from CollectionPairVectorF, VectorF.)
	IListContains	Determines whether the IList contains a specific value. (Inherited from CollectionPairVectorF, VectorF.)
	ICollectionCopyTo	Copies the elements of the ICollection to an Array, starting at a particular Array index. (Inherited from CollectionPairVectorF, VectorF.)
	IEnumerableGetEnumerator	Returns an enumerator that iterates through a collection. (Inherited from CollectionPairVectorF, VectorF.)
	IListIndexOf	Determines the index of a specific item in the IList. (Inherited from CollectionPairVectorF, VectorF.)
	IListInsert	Inserts an item into the IList at the specified index. (Inherited from CollectionPairVectorF, VectorF.)
	IListIsFixedSize	Gets a value indicating whether the IList has a fixed size. (Inherited from CollectionPairVectorF, VectorF.)
	ICollectionTIsReadOnly	Gets a value indicating whether the ICollectionT is read-only. (Inherited from CollectionPairVectorF, VectorF.)
	IListIsReadOnly	Gets a value indicating whether the IList is read-only. (Inherited from CollectionPairVectorF, VectorF.)
	ICollectionIsSynchronized	Gets a value indicating whether access to the ICollection is synchronized (thread safe). (Inherited from CollectionPairVectorF, VectorF.)
	IListItem	Gets or sets the element at the specified index. (Inherited from CollectionPairVectorF, VectorF.)
	IListRemove	Removes the first occurrence of a specific object from the IList. (Inherited from CollectionPairVectorF, VectorF.)
	ICollectionSyncRoot	Gets an object that can be used to synchronize access to the ICollection. (Inherited from CollectionPairVectorF, VectorF.)

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Remarks

Radial basis functions are described in the paper "Pose Space Deformation: A Unified Approach to Shape Interpolation and Skeleton-Driven Deformation".

The regression can numerically fail for bad reference data pairs or an inappropriate basis function. In this case Setup will throw a MathematicsException.

Reference

DigitalRune.Mathematics.Interpolation Namespace