scalismo
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scalismo/scalismo.transformations

scalismo.transformations

package scalismo.transformations

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Type members

Classlikes

trait CanDifferentiateWRTPosition[D]

Trait for differentiable D-dimensional transformations

Trait for differentiable D-dimensional transformations

Attributes

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Supertypes
class Object
trait Matchable
class Any
Known subtypes
class Rotation[D]
class Scaling[D]
class Translation[D]
Self type
trait CanInvert[D, +T <: (Transformation)]

Trait for invertible D-dimensional transformations

Trait for invertible D-dimensional transformations

Attributes

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Supertypes
class Object
trait Matchable
class Any
Known subtypes
class Rotation[D]
class Scaling[D]
class Translation[D]
Self type
case class CompositeDifferentiableTransformation[D, O <: ([D] =>> ParametricTransformation[D] & CanDifferentiateWRTPosition[D]), I <: ([D] =>> ParametricTransformation[D] & CanDifferentiateWRTPosition[D])](outerTransformation: O[D], innerTransformation: I[D]) extends CompositeTransformation[D, O, I] with CanDifferentiateWRTPosition[D]

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Companion:
object
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Supertypes
trait Serializable
trait Product
trait Equals
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
object CompositeDifferentiableTransformation

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Companion:
class
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trait Product
trait Mirror
class Object
trait Matchable
class Any
Self type
class CompositeTransformation[D, O <: ([D] =>> ParametricTransformation[D] & CanDifferentiateWRTPosition[D]), I <: (ParametricTransformation)](val outerTransformation: O[D], val innerTransformation: I[D]) extends ParametricTransformation[D]

Class defining transformations composed of two argument transforms. The resulting transform is outerTransform compose innerTransform

Class defining transformations composed of two argument transforms. The resulting transform is outerTransform compose innerTransform

Attributes

innerTransformation

transform to be applied first. Must be a parametric differentiable transform

outerTransformation

transform to be applied second. Must be a parametric differentiable transform

Companion:
object
Graph
Supertypes
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
Known subtypes
object CompositeTransformation

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Companion:
class
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Supertypes
class Object
trait Matchable
class Any
Self type
trait ParametricTransformation[D] extends Transformation[D]

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Companion:
object
Graph
Supertypes
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
Known subtypes
class Rotation[D]
class Scaling[D]
class Translation[D]
object ParametricTransformation

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Companion:
trait
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class Object
trait Matchable
class Any
Self type
case class ProductTransformationSpace[D, OuterTS <: (TransformationSpaceWithDifferentiableTransforms), InnerTS <: (TransformationSpace)](outerTS: OuterTS[D], innerTS: InnerTS[D]) extends TransformationSpace[D]

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trait Serializable
trait Product
trait Equals
class Object
trait Matchable
class Any
case class ProductTransformationSpaceWithDifferentiableTransforms[D, OuterTS <: (TransformationSpaceWithDifferentiableTransforms), InnerTS <: (TransformationSpaceWithDifferentiableTransforms)](outerTS: OuterTS[D], innerTS: InnerTS[D]) extends TransformationSpaceWithDifferentiableTransforms[D]

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trait Serializable
trait Product
trait Equals
class Object
trait Matchable
class Any
trait RigidTransformation[D] extends SimilarityTransformation[D] with CanDifferentiateWRTPosition[D] with CanInvert[D, RigidTransformation]

Trait for D-dimensional rigid transform, that is a composition of rotation and translation transform. Instances of this trait exist only for _2D and _3D as Rotation is not defined for _1D

Trait for D-dimensional rigid transform, that is a composition of rotation and translation transform. Instances of this trait exist only for _2D and _3D as Rotation is not defined for _1D

Attributes

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Supertypes
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
Known subtypes
class Rotation[D]
class Scaling[D]
class Translation[D]
abstract class Rotation[D] extends RigidTransformation[D]

D-dimensional Rotation transform that is parametric, invertible and differentiable.

D-dimensional Rotation transform that is parametric, invertible and differentiable.

Attributes

Companion:
object
Graph
Supertypes
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
Known subtypes
object Rotation

Factory for Rotation instances.

Factory for Rotation instances.

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Companion:
class
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Supertypes
class Object
trait Matchable
class Any
Self type
case class Rotation2D(phi: Double, center: Point[_2D]) extends Rotation[_2D]

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Supertypes
trait Serializable
trait Product
trait Equals
class Rotation[_2D]
trait Field[_2D, Point[_2D]]
trait Point[_2D] => Point[_2D]
class Object
trait Matchable
class Any
case class Rotation3D(rotationMatrix: SquareMatrix[_3D], center: Point[_3D]) extends Rotation[_3D]

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Companion:
object
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Supertypes
trait Serializable
trait Product
trait Equals
class Rotation[_3D]
trait Field[_3D, Point[_3D]]
trait Point[_3D] => Point[_3D]
class Object
trait Matchable
class Any
object Rotation3D

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Companion:
class
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Supertypes
trait Product
trait Mirror
class Object
trait Matchable
class Any
Self type
case class RotationAfterScaling[D](rotation: Rotation[D], scaling: Scaling[D]) extends SimilarityTransformation[D]

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trait Serializable
trait Product
trait Equals
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
object RotationAfterScaling2D

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Supertypes
class Object
trait Matchable
class Any
Self type
object RotationAfterScaling3D

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class Object
trait Matchable
class Any
Self type
case class RotationAfterScalingAfterTranslation[D](rotation: Rotation[D], scaling: Scaling[D], translation: Translation[D]) extends SimilarityTransformation[D]

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trait Serializable
trait Product
trait Equals
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
object RotationAfterScalingAfterTranslation2D

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Supertypes
class Object
trait Matchable
class Any
Self type
object RotationAfterScalingAfterTranslation3D

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Supertypes
class Object
trait Matchable
class Any
Self type
case class RotationAfterTranslation[D](rotation: Rotation[D], translation: Translation[D]) extends RigidTransformation[D]

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trait Serializable
trait Product
trait Equals
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
object RotationAfterTranslation2D

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Supertypes
class Object
trait Matchable
class Any
Self type
object RotationAfterTranslation3D

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class Object
trait Matchable
class Any
Self type
abstract class RotationSpace[D] extends TransformationSpaceWithDifferentiableTransforms[D]

Parametric transformation space producing rotation transforms around a rotation centre.

Parametric transformation space producing rotation transforms around a rotation centre.

Attributes

Companion:
object
Graph
Supertypes
class Object
trait Matchable
class Any
Known subtypes
object RotationSpace

Factory for RotationSpace instances.

Factory for RotationSpace instances.

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Companion:
class
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Supertypes
class Object
trait Matchable
class Any
Self type
case class RotationSpace2D(center: Point[_2D]) extends RotationSpace[_2D]

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trait Serializable
trait Product
trait Equals
class Object
trait Matchable
class Any
case class RotationSpace3D(center: Point[_3D]) extends RotationSpace[_3D]

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Companion:
object
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Supertypes
trait Serializable
trait Product
trait Equals
class Object
trait Matchable
class Any
object RotationSpace3D

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Companion:
class
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Supertypes
trait Product
trait Mirror
class Object
trait Matchable
class Any
Self type
case class Scaling[D](s: Double)(implicit evidence$1: NDSpace[D]) extends RigidTransformation[D]

D-dimensional translation transform that is parametric, invertible and differentiable

D-dimensional translation transform that is parametric, invertible and differentiable

Attributes

t

Translation vector

Graph
Supertypes
trait Serializable
trait Product
trait Equals
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
object Scaling1D

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Supertypes
class Object
trait Matchable
class Any
Self type
object Scaling2D

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class Object
trait Matchable
class Any
Self type
object Scaling3D

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Supertypes
class Object
trait Matchable
class Any
Self type
case class ScalingAfterRotation[D](scaling: Scaling[D], rotation: Rotation[D]) extends SimilarityTransformation[D]

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Supertypes
trait Serializable
trait Product
trait Equals
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
object ScalingAfterRotation2D

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Supertypes
class Object
trait Matchable
class Any
Self type
object ScalingAfterRotation3D

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Supertypes
class Object
trait Matchable
class Any
Self type
case class ScalingSpace[D]()(implicit evidence$2: NDSpace[D]) extends TransformationSpaceWithDifferentiableTransforms[D]

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Supertypes
trait Serializable
trait Product
trait Equals
class Object
trait Matchable
class Any
Known subtypes
object ScalingSpace1D.type
object ScalingSpace2D.type
object ScalingSpace3D.type
object ScalingSpace1D extends ScalingSpace[_1D]

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Supertypes
trait Serializable
trait Product
trait Equals
class Object
trait Matchable
class Any
Self type
object ScalingSpace2D extends ScalingSpace[_2D]

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Supertypes
trait Serializable
trait Product
trait Equals
class Object
trait Matchable
class Any
Self type
object ScalingSpace3D extends ScalingSpace[_3D]

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trait Serializable
trait Product
trait Equals
class Object
trait Matchable
class Any
Self type
trait SimilarityTransformation[D] extends ParametricTransformation[D] with CanDifferentiateWRTPosition[D] with CanInvert[D, SimilarityTransformation]

Attributes

Graph
Supertypes
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
Known subtypes
class Rotation[D]
class Scaling[D]
class Translation[D]
trait Transformation[D] extends Field[D, Point[D]]

Trait for D-dimensional transformation that maps a D-dimensional Point to another. A transformation in our library is seen as a particular type of Field (or image) mapping points to values that are also of type scalismo.geometry.Point

Trait for D-dimensional transformation that maps a D-dimensional Point to another. A transformation in our library is seen as a particular type of Field (or image) mapping points to values that are also of type scalismo.geometry.Point

Attributes

Companion:
object
Graph
Supertypes
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
Known subtypes
class Rotation[D]
class Scaling[D]
class Translation[D]
Self type
object Transformation

Trait for parametric D-dimensional transformations

Trait for parametric D-dimensional transformations

Attributes

Companion:
trait
Graph
Supertypes
class Object
trait Matchable
class Any
Self type
object Transformation1D

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Supertypes
class Object
trait Matchable
class Any
Self type
object Transformation2D

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class Object
trait Matchable
class Any
Self type
object Transformation3D

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Graph
Supertypes
class Object
trait Matchable
class Any
Self type
trait TransformationSpace[D]

Trait for a parametric transformation space.

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.

Attributes

Companion:
object
Graph
Supertypes
class Object
trait Matchable
class Any
Known subtypes
class ProductTransformationSpace[D, OuterTS, InnerTS]
class RotationSpace[D]
class ScalingSpace[D]
object ScalingSpace1D.type
object ScalingSpace2D.type
object ScalingSpace3D.type
object TranslationSpace1D.type
object TranslationSpace2D.type
object TranslationSpace3D.type
object TransformationSpace

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Companion:
trait
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Supertypes
class Object
trait Matchable
class Any
Self type
trait TransformationSpaceWithDifferentiableTransforms[D] extends TransformationSpace[D]

Attributes

Graph
Supertypes
class Object
trait Matchable
class Any
Known subtypes
class RotationSpace[D]
class ScalingSpace[D]
object ScalingSpace1D.type
object ScalingSpace2D.type
object ScalingSpace3D.type
object TranslationSpace1D.type
object TranslationSpace2D.type
object TranslationSpace3D.type
case class Translation[D](t: EuclideanVector[D])(implicit evidence$1: NDSpace[D]) extends RigidTransformation[D]

D-dimensional translation transform that is parametric, invertible and differentiable

D-dimensional translation transform that is parametric, invertible and differentiable

Attributes

t

Translation vector

Graph
Supertypes
trait Serializable
trait Product
trait Equals
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
object Translation1D

Attributes

Graph
Supertypes
class Object
trait Matchable
class Any
Self type
object Translation2D

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Supertypes
class Object
trait Matchable
class Any
Self type
object Translation3D

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Graph
Supertypes
class Object
trait Matchable
class Any
Self type
case class TranslationAfterRotation[D](translation: Translation[D], rotation: Rotation[D]) extends RigidTransformation[D]

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Graph
Supertypes
trait Serializable
trait Product
trait Equals
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
object TranslationAfterRotation2D

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Graph
Supertypes
class Object
trait Matchable
class Any
Self type
object TranslationAfterRotation3D

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class Object
trait Matchable
class Any
Self type
case class TranslationAfterRotationSpace2D(rotationCenter: Point[_2D]) extends TransformationSpaceWithDifferentiableTransforms[_2D]

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Graph
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trait Serializable
trait Product
trait Equals
class Object
trait Matchable
class Any
case class TranslationAfterRotationSpace3D(rotationCenter: Point[_3D]) extends TransformationSpaceWithDifferentiableTransforms[_3D]

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Graph
Supertypes
trait Serializable
trait Product
trait Equals
class Object
trait Matchable
class Any
case class TranslationAfterScalingAfterRotation[D](translation: Translation[D], scaling: Scaling[D], rotation: Rotation[D]) extends SimilarityTransformation[D]

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Supertypes
trait Serializable
trait Product
trait Equals
trait Field[D, Point[D]]
trait Point[D] => Point[D]
class Object
trait Matchable
class Any
object TranslationAfterScalingAfterRotation2D

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Graph
Supertypes
class Object
trait Matchable
class Any
Self type
object TranslationAfterScalingAfterRotation3D

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Supertypes
class Object
trait Matchable
class Any
Self type
case class TranslationAfterScalingAfterRotationSpace2D(rotationCenter: Point[_2D]) extends TransformationSpaceWithDifferentiableTransforms[_2D]

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trait Serializable
trait Product
trait Equals
class Object
trait Matchable
class Any
case class TranslationAfterScalingAfterRotationSpace3D(rotationCenter: Point[_3D]) extends TransformationSpaceWithDifferentiableTransforms[_3D]

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trait Serializable
trait Product
trait Equals
class Object
trait Matchable
class Any
class TranslationSpace[D]()(implicit evidence$2: NDSpace[D]) extends TransformationSpaceWithDifferentiableTransforms[D]

Parametric transformation space producing translation transforms

Parametric transformation space producing translation transforms

Attributes

Graph
Supertypes
class Object
trait Matchable
class Any
Known subtypes
object TranslationSpace1D.type
object TranslationSpace2D.type
object TranslationSpace3D.type
object TranslationSpace1D extends TranslationSpace[_1D]

Attributes

Graph
Supertypes
class Object
trait Matchable
class Any
Self type
object TranslationSpace2D extends TranslationSpace[_2D]

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Graph
Supertypes
class Object
trait Matchable
class Any
Self type
object TranslationSpace3D extends TranslationSpace[_3D]

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Graph
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class Object
trait Matchable
class Any
Self type
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