Exports

Exports aim to provide a consistent generation of images of your results. For example if you record the trace your algorithm walks on the Sphere, you yan easily export this trace to a rendered image using asymptote_export_S2_signals and render the result with Asymptote. Despite these, you can always record values during your iterations, and export these, for example to csv.

Asymptote

The following functions provide exports both in graphics and/or raw data using Asymptote.

Manopt.asymptote_export_S2_dataMethod
asymptote_export_S2_data(filename)

Export given data as an array of points on the sphere, i.e. one-, two- or three-dimensional data with points on the Sphere $\mathbb S^2$.

Input

  • filename – a file to store the Asymptote code in.

Optional Arguments (Data)

  • data – a point representing the 1-,2-, or 3-D array of points
  • elevationColorScheme - A ColorScheme for elevation
  • scaleAxes - ((1/3,1/3,1/3)) move spheres closer to each other by a factor per direction

Optional Arguments (Asymptote)

  • arrowHeadSize - (1.8) size of the arrowheads of the vectors (in mm)
  • cameraPosition - position of the camrea (default: centered above xy-plane) szene
  • target - position the camera points at (default: center of xy-plane within data).
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Manopt.asymptote_export_S2_signalsMethod
asymptote_export_S2_signals(filename; points, curves, tVectors, colors, options...)

Export given points, curves, and tVectors on the sphere $\mathbb S^2$ to Asymptote.

Input

  • filename – a file to store the Asymptote code in.

Optional Arguments (Data)

  • colors - dictionary of color arrays (indexed by symbols :points, :curves and :tvector) where each entry has to provide as least as many colors as the length of the corresponding sets.
  • curves – an Array of Arrays of points on the sphere, where each inner array is interpreted as a curve and is accompanied by an entry within colors
  • points – an Array of Arrays of points on the sphere where each inner array is itnerpreted as a set of points and is accompanied by an entry within colors
  • tVectors – an Array of Arrays of tuples, where the first is a points, the second a tangent vector and each set of vectors is accompanied by an entry from within colors

Optional Arguments (Asymptote)

  • arrowHeadSize - (6.0) size of the arrowheads of the tangent vectors
  • arrowHeadSizes – overrides the previous value to specify a value per tVector set.
  • cameraPosition - ((1., 1., 0.)) position of the camera in the Asymptote szene
  • lineWidth – (1.0) size of the lines used to draw the curves.
  • lineWidths – overrides the previous value to specify a value per curve and tVector set.
  • dotSize – (1.0) size of the dots used to draw the points.
  • dotSizes – overrides the previous value to specify a value per point set.
  • sphereColor – (RGBA{Float64}(0.85, 0.85, 0.85, 0.6)) color of the sphere the data is drawn on
  • sphereLineColor – (RGBA{Float64}(0.75, 0.75, 0.75, 0.6)) color of the lines on the sphere
  • sphereLineWidth – (0.5) line width of the lines on the sphere
  • target – ((0.,0.,0.)) position the camera points at
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Manopt.asymptote_export_SPDMethod
asymptote_export_SPD(filename)

export given data as a point on a Power{SPDPoint} manifold, i.e. one-, two- or three-dimensional data with points on the manifold of symmetric positive definite matrices.

Input

  • filename – a file to store the Asymptote code in.

Optional Arguments (Data)

  • data – a point representing the 1-,2-, or 3-D array of SPDPoints
  • colorScheme - A ColorScheme for Geometric Anisotropy Index
  • scaleAxes - ((1/3,1/3,1/3)) move symmetric positive definite matrices closer to each other by a factor per direction compared to the distance esimated by the maximal eigenvalue of all involved SPD points

Optional Arguments (Asymptote)

  • cameraPosition - position of the camrea (default: centered above xy-plane) szene.
  • target - position the camera points at (default: center of xy-plane within data).

Both values cameraPosition and target are scaled by scaledAxes*EW, where EW is the maximal eigenvalue in the data.

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Manopt.render_asymptoteMethod
render_asymptote(filename; render=4, format="png", ...)

render an exported asymptote file specified in the filename, which can also be given as a relative or full path

Input

  • filename – filename of the exported asy and rendered image

Keyword Arguments

the default values are given in brackets

  • render – (4) render level of asymptote, i.e. its -render option
  • format – ("png") final rendered format, i.e. asymptote's -f option
  • export_file - (the filename with format as ending) specify the export filename
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