The value of the image at a given point.
The value of the image at a given point. if an image is accessed outside of its definition, an exception is thrown
The domain on which the image is defined
The domain on which the image is defined
a function that defines the image values.
a function that defines the image values. It must be defined on the full domain
transform to be applied first.
transform to be applied first. Must be a parametric differentiable transform
True if the image is defined at the given point
True if the image is defined at the given point
Lifts the definition of the value function such that it is defined everywhere, but yields none if the value is outside of the domain
Lifts the definition of the value function such that it is defined everywhere, but yields none if the value is outside of the domain
transform to be applied second.
transform to be applied second. Must be a parametric differentiable transform
parameters of the composed transform.
parameters of the composed transform. This is simply a concatenation of the outer and inner transform parameters
Derivative of the transform evaluated at a point
Derivative of the transform evaluated at a point
Trait for D-dimensional anisotropic similarity transform that is a combination of a rigid transform and anisotropic scaling.
There are different possibilities to define such a similarity transform. Either we first do a rigid transform and then scaling, or vice versa. We support only one way where we scale first, then transform rigidly.
The order of the rigid transform in this case is also fixed : first rotate then translate.