# 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
• 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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