Trait/Object

scalismo.registration

TransformationSpace

Related Docs: object TransformationSpace | package registration

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trait TransformationSpace[D <: Dim] extends AnyRef

Trait for a parametric transformation space.

Many pre-implemented transformation spaces implement this trait : TranslationSpace, ScalingSpace, RotationSpace ..

Most of the basic transforms in our library (scaling, translation, rotation ..) can be created directly and do not necessarily require the prior creation of a TransformationSpace. Defining a TransformationSpace is mainly useful during a registration process where one optimizes over a set of parameters to retrieve a desired transformation.

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Type Members

  1. type JacobianImage = (Point[D]) ⇒ DenseMatrix[Float]

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  2. abstract type T <: ParametricTransformation[D]

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    Type of parametric transforms generated by this space

Abstract Value Members

  1. abstract def identityTransformParameters: DenseVector[Float]

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    returns the parameters corresponding the identity transform in this space

  2. abstract def parametersDimensionality: Int

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  3. abstract def takeDerivativeWRTParameters(alpha: ParameterVector): JacobianImage

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    returns a function providing the Jacobian at a requested point.

    returns a function providing the Jacobian at a requested point. This is used when optimizing over the parameters, e.g. during registration

  4. abstract def transformForParameters(p: ParameterVector): T

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    returns a transformation corresponding the indicated parameters

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