Exports

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
• elevation_color_scheme - A ColorScheme for elevation
• scale_axes - ((1/3,1/3,1/3)) move spheres closer to each other by a factor per direction

Optional Arguments (Asymptote)

• arrow_head_size - (1.8) size of the arrowheads of the vectors (in mm)
• camera_position - position of the camrea (default: centered above xy-plane) szene
• target - position the camera points at (default: center of xy-plane within data).

asymptote_export_S2_signals(filename; points, curves, tangent_vectors, colors, options...)

Export given points, curves, and tangent_vectors 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
• tangent_vectors – 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)

• arrow_head_size - (6.0) size of the arrowheads of the tangent vectors
• arrow_head_sizes – overrides the previous value to specify a value per tVector set.
• camera_position - ((1., 1., 0.)) position of the camera in the Asymptote szene
• line_width – (1.0) size of the lines used to draw the curves.
• line_widths – overrides the previous value to specify a value per curve and tVector set.
• dot_size – (1.0) size of the dots used to draw the points.
• dot_sizes – overrides the previous value to specify a value per point set.
• sphere_color – (RGBA{Float64}(0.85, 0.85, 0.85, 0.6)) color of the sphere the data is drawn on
• sphere_line_color – (RGBA{Float64}(0.75, 0.75, 0.75, 0.6)) color of the lines on the sphere
• sphere_line_width – (0.5) line width of the lines on the sphere
• target – ((0.,0.,0.)) position the camera points at

asymptote_export_SPD(filename)

export given data as a point on a Power(SymmetricPOsitiveDefinnite(3))} 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 SPD matrices
• color_scheme - A ColorScheme for Geometric Anisotropy Index
• scale_axes - ((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)

• camera_position - 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 camera_position and target are scaled by scaledAxes*EW, where EW is the maximal eigenvalue in the data.

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