Exports

asymptote_export_S2_data(filename)

Export given data as an array of points on the 2-sphere, which might be one-, two- or three-dimensional data with points on the Sphere $𝕊^2$.

Input

• filename a file to store the Asymptote code in.

Optional arguments for the data

• data a point representing the 1D,2D, or 3D 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 for asymptote

• arrow_head_size=1.8: size of the arrowheads of the vectors (in mm)
• camera_position position of the camera scene (default: atop the center of the data in the xy-plane)
• target position the camera points at (default: center of xy-plane within data).

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

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

Input

• filename a file to store the Asymptote code in.

Keywaord arguments for the data

• colors=Dict{Symbol,Array{RGBA{Float64},1}}(): 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=Array{Array{Float64,1},1}(undef, 0): 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=Array{Array{Float64,1},1}(undef, 0): an Array of Arrays of points on the sphere where each inner array is interpreted as a set of points and is accompanied by an entry within colors.
• tangent_vectors=Array{Array{Tuple{Float64,Float64},1},1}(undef, 0): 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.

Keyword arguments for 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 scene
• 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.
• size=nothing: a tuple for the image size, otherwise a relative size 4cm is used.
• 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 of 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 for the data

• data a point representing the 1D, 2D, or 3D 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 estimated by the maximal eigenvalue of all involved SPD points

Optional arguments for asymptote

• camera_position position of the camera scene (default: atop the center of the data in the xy-plane)
• 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 passed to its -render option. This can be removed from the command by setting it to nothing.
• format="png": final rendered format passed to the -f option
• export_file: (the filename with format as ending) specify the export filename