version 1.2

Lines and Surface Contours¶

The following are examples of creating line collection objects and applying color to the object.

Line Construction¶

Construction of Lines from vertex and segment lists.

../_images/cubelines.png

Base Class Lines

Smooth color transitions along a line using shred method.

../_images/box_edge_shred_2.png

Line Segment Subdivision

Sequentiallly mapped Parametric line object using a function

../_images/loop3d.png

Line Colormap Sequence Operation

Coloration of a sequential line based on segment direction

../_images/lorenz_dir.png

Segment Orientation Color

Coloration of a sequential line based on segment sequence.

../_images/lorenz_seq.png

Sequential Line Color

Coloration of a sequential line based on a function of segment coordinate location.

../_images/lorenz_op.png

Functional Line Color

Multiple line plots using different function parameter values.

../_images/param_lineset.png

Parametric Set of Lines

Combining several lines into one line object.

../_images/loop_spiral.png

Line Composite

A set of Matplotlib colormaps are shown in Lab and RGB colorspace.

../_images/cmap_colorspace.png

Matplotlib Colormaps

Face Edge Lines¶

Colormapped surface edges

../_images/platonic_edges.png

Platonic Solid Edges

Construction of Lines using surface vertex coordinates.

../_images/line_surf_vert.png

Lines from Surface Vertices

Comparison of surface edge visualizations using surface and line objects.

../_images/edges_compare.png

Face Edge Visualizations

Surface edges using a alpha-clipped image-mapped surface.

../_images/earth_triangles.png

Face Edges from Image HSV Value Clipping

Surface Contours¶

A set of constant Z contour lines generated from a surface object.

../_images/contours_z.png

Vertical Contour Set

A set of constant Z contour lines generated from a surface object.

../_images/b_demo.png

Vertical Contour Set 2

3D visualization of 2D function with coefficients.

../_images/elliptic_curve.png

Elliptic Curve

Set of surface contour lines constructed normal to a direction.

../_images/contour_lineset_colored.png

Colored Surface Contour Set

Planar contours on a conic surface.

../_images/conic.png

Surface Contours

Planar contour colors taken from the surface color.

../_images/fun011_contours.png

Constant Z Contours of a Function

Comparison between planar and radial contours of an identical surface.

../_images/pl_sph_contours.png

Planar and Radial Contours

Contours from a Datagrid Surface.

../_images/jacks_contours.png

Elevation Contours of a Datagrid

Just for fun. Contours constructed from a surface.

../_images/mand_contours.png

Mandelbrot Contours

Contours constructed from a surface, project to a xy-plane.

../_images/mri_contours.png

MRI Contours 2D plot

Contour constructed from a colormap surface and then projected onto a plane.

../_images/townsend.png

Contour Projections

Using surfaces to construct 2D plots.

../_images/domain_coloring_2d_1.png

Domain Coloring, 2D from 3D

Surface and contours are clipped with a surface based function.

../_images/gomez_levy_1.png

Clipping Surface and Contours

General contour projection to a plane.

../_images/gen_cont_proj.png

General Surface Contour Projections

Cylindrical contours on a cylindrical surface.

../_images/tube_disp_contours.png

Cylindrical Contours

Comparison between two methods for contour coloring.

../_images/contours_color.png

Contour Coloring

Comparison between two methods for contour coloring of a spherical function.

../_images/sph_harm_contours_1.png

Representing f(θ,φ) Contours

Cylindrical contours on cylindrical surfaces.

../_images/twist_contours.png

Cylindrical Contours

Cylindrical contours of constant radius for complex functions.

../_images/complex_contours.png

Complex Cylindrical Contours

Spherical contours on a functional defined surface.

../_images/contours_spherical.png

Spherical Contours

Spherical contours on a image-mapped surface.

../_images/earth_elev_contours.png

Earth Elevation Contours

Spherical contour projection of a image-mapped surface.

../_images/earth_dry_elev_contours.png

Earth Elevation Projected Contours

Contours on a general surface object.

../_images/bunny_contours.png

Bunny Contours

Filled Surfaces¶

Surface contour lines are projected to the xy plane to create a surface.

../_images/contours_z_filled.png

Vertical Contour Filled Surface

Surface contour lines are spherically projected to the origin to create a surface.

../_images/filled_octa_cont.png

Spherical Contour Filled Surface

Surfaces constructed from spherical or cylindrical projections of surface edge lines.

../_images/platonic_proj_1.png

Surface Edge Filled Surface

Surface constructed from a cylindrical projection of parametric lines.

../_images/dna_lines_proj.png

Helix Line Filled Surfaces

Surface constructed from a spherical projection of image mapped surface contours.

../_images/earth_proj.png

Contour Filled Surface

Surface created by projecting a parametric line to a plane.

../_images/para_line_surface_1.png

Filled ParametricLine Surface 1

Parametric line surface projections to y-z and x-z planes.

../_images/para_line_surface_2.png

Filled ParametricLine Surface 2

Ruled Surfaces¶

Projection of a line to a line to construct a surface.

../_images/screw_from_lines.png

Line to Filled Line Surface Construction

Ruled surface from the projection of a circle to a circle.

../_images/hyperboloid.png

Hyperboloid of Revolution

Inner and outer coloring of a surface constructed from a line to line projection.

../_images/fig_8_knot.png

Inner and Outer Surface Coloring

Mobius surface constructed from two edge lines, including multiple twist examples.

../_images/mobius_lines.png

Mobius From Lines

Line sequence is demonstrated for line to line surface construction.

../_images/conoid_lines.png

Line Sequence Dependent Surfaces

Surface colored from two projected colored segmented lines.

../_images/dna_lines.png

Double Helix from Lines

Surface from contour lines from surfaces from lines to line projection.

../_images/multi_ops_1.png

Multiple Object Operations

Surface from surface edges to surface edges.

../_images/surf_edge2edge.png

Edge to Edge Filled Surface

Composite surface from surface edges filled to two spherical projections.

../_images/filled_octa_edges.png

Spherical Edge Filled Surface

Surface from surface edges to surface edges.

../_images/surf_edge2edge_2.png

Edge to Edge Filled Surface 2