RadonTransform

RadonTransform[expr,{x,y},{p,ϕ}]

gives the Radon transform of expr.

Details and Options

  • The Radon transform of a function is defined to be .
  • Geometrically, the Radon transform represents the integral of along a line given in normal form by the equation , with -<p< and -π/2<ϕ<π/2.
  • The following options can be given:
  • Assumptions$Assumptionsassumptions on parameters
    GenerateConditionsFalsewhether to generate results that involve conditions on parameters
    MethodAutomaticwhat method to use
  • In TraditionalForm, RadonTransform is output using TemplateBox[{{f, (, {x, ,, y}, )}, x, y, p, phi}, RadonTransform].

Examples

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Basic Examples  (1)

Compute the Radon transform of a function:

In[1]:=
Click for copyable input
Out[1]=

Plot the function along with the transform:

In[2]:=
Click for copyable input
Out[2]=

Scope  (10)

Options  (2)

Applications  (2)

Properties & Relations  (10)

Neat Examples  (1)

See Also

InverseRadonTransform  Radon  FourierTransform  Integrate  HermiteH  HankelTransform

Introduced in 2017
(11.2)