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#160 Add Zernike polynomials

v1.1.x
closed
Erik Hänel
None
v1.1.0
New Functionality
2017-05-06
2017-02-21
Erik Hänel
No

Add the Zernike polynomials: https://de.wikipedia.org/wiki/Zernike-Polynom

The polynomials can have the same signatures as the spherical harmonics: Z(n,m,rho,phi). The radial polynomial can be realized as another function called by the Zernike function.

Analysis:
See the description.

Implementation:
The Zernike polynomials were implemented as proposed by the description.

Documentation:
The Zernike polynomials were added to the syntax elements as Z() and to the german and english language files.

Tests:
The definition of the radial part of the Zernike polynomials included the definition interval [0,1]. This was included. No further deviations detected. Functionality implemented successfully.

Discussion

  • Erik Hänel

    Erik Hänel - 2017-02-21
    • status: open --> accepted
     

  • Erik Hänel

    Erik Hänel - 2017-02-22
    • Description has changed:

    Diff:

    --- old
+++ new
@@ -1,3 +1,11 @@
 Add the Zernike polynomials: https://de.wikipedia.org/wiki/Zernike-Polynom

 The polynomials can have the same signatures as the spherical harmonics: `Z(n,m,rho,phi)`. The radial polynomial can be realized as another function called by the Zernike function.
+
+**Analysis:**
+
+**Implementation:**
+
+**Documentation:**
+
+**Tests:**
    • status: accepted --> analyzing
     

  • Erik Hänel

    Erik Hänel - 2017-03-05
    • Description has changed:

    Diff:

    --- old
+++ new
@@ -3,6 +3,7 @@
 The polynomials can have the same signatures as the spherical harmonics: `Z(n,m,rho,phi)`. The radial polynomial can be realized as another function called by the Zernike function.

 **Analysis:**
+See the description.

 **Implementation:**
    • status: analyzing --> implementing
     

  • Erik Hänel

    Erik Hänel - 2017-03-05
    • Description has changed:

    Diff:

    --- old
+++ new
@@ -6,7 +6,9 @@
 See the description.

 **Implementation:**
+The Zernike polynomials were implemented as proposed by the description.

 **Documentation:**
+The Zernike polynomials were added to the syntax elements as `Z()` and to the german and english language files.

 **Tests:**
    • status: implementing --> testing
     

  • Erik Hänel

    Erik Hänel - 2017-05-06
    • Description has changed:

    Diff:

    --- old
+++ new
@@ -12,3 +12,4 @@
 The Zernike polynomials were added to the syntax elements as `Z()` and to the german and english language files.

 **Tests:**
+The definition of the radial part of the Zernike polynomials included the definition interval [0,1]. This was included. No further deviations detected. Functionality implemented successfully.
    • status: testing --> closed
     

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