.. _line-maps:

Contour Lines
=========================================================================================

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



Line Construction
----------------------------------------------------------------------------------------





.. toctree::
   :hidden:

   lines/cubelines.rst

.. raw:: html

    <a href="lines/cubelines.html">
    <div class="docbutton">
    <span class="tooltiptext">Construction of Lines from vertex and segment lists.</span>

.. only:: html

.. image:: lines/images/cubelines.png
   :class: docfig

Base Class Lines

.. raw:: html

    </div></a>





.. toctree::
   :hidden:

   lines/box_edge_shred_2.rst

.. raw:: html

    <a href="lines/box_edge_shred_2.html">
    <div class="docbutton">
    <span class="tooltiptext">Smooth color transitions along a line using shred method.</span>

.. only:: html

.. image:: lines/images/box_edge_shred_2.png
   :class: docfig

Line Segment Subdivision

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/loop3d.rst

.. raw:: html

    <a href="lines/loop3d.html">
    <div class="docbutton">
    <span class="tooltiptext">Sequentiallly mapped Parametric line object using a function</span>

.. only:: html

.. image:: lines/images/loop3d.png
   :class: docfig

Line Colormap Sequence Operation

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/lorenz_dir.rst

.. raw:: html

    <a href="lines/lorenz_dir.html">
    <div class="docbutton">
    <span class="tooltiptext">Coloration of a sequential line based on segment direction</span>

.. only:: html

.. image:: lines/images/lorenz_dir.png
   :class: docfig

Segment Orientation Color

.. raw:: html

    </div></a>



.. toctree::
   :hidden:

   lines/lorenz_seq.rst

.. raw:: html

    <a href="lines/lorenz_seq.html">
    <div class="docbutton">
    <span class="tooltiptext">Coloration of a sequential line based on segment sequence.</span>

.. only:: html

.. image:: lines/images/lorenz_seq.png
   :class: docfig

Sequential Line Color

.. raw:: html

    </div></a>



.. toctree::
   :hidden:

   lines/lorenz_op.rst

.. raw:: html

    <a href="lines/lorenz_op.html">
    <div class="docbutton">
    <span class="tooltiptext">Coloration of a sequential line based on a function of segment coordinate location.</span>

.. only:: html

.. image:: lines/images/lorenz_op.png
   :class: docfig

Functional Line Color

.. raw:: html

    </div></a>





.. toctree::
   :hidden:

   lines/param_lineset.rst

.. raw:: html

    <a href="lines/param_lineset.html">
    <div class="docbutton">
    <span class="tooltiptext">Multiple line plots using different function parameter values.</span>

.. only:: html

.. image:: lines/images/param_lineset.png
   :class: docfig

Parametric Set of Lines

.. raw:: html

    </div></a>





.. toctree::
   :hidden:

   lines/loop_spiral.rst

.. raw:: html

    <a href="lines/loop_spiral.html">
    <div class="docbutton">
    <span class="tooltiptext">Combining several lines into one line object.</span>

.. only:: html

.. image:: lines/images/loop_spiral.png
   :class: docfig

Line Composite

.. raw:: html

    </div></a>





.. toctree::
   :hidden:

   lines/cmap_colorspace.rst

.. raw:: html

    <a href="lines/cmap_colorspace.html">
    <div class="docbutton">
    <span class="tooltiptext">A set of Matplotlib colormaps are shown in Lab and RGB colorspace.</span>

.. only:: html

.. image:: lines/images/cmap_colorspace.png
   :class: docfig

Matplotlib Colormaps

.. raw:: html

    </div></a>





.. raw:: html

    <div style='clear:both'></div>

Face Edge Lines
----------------------------------------------------------------------------------------






.. toctree::
   :hidden:

   lines/platonic_edges.rst

.. raw:: html

    <a href="lines/platonic_edges.html">
    <div class="docbutton">
    <span class="tooltiptext">Colormapped surface edges</span>

.. only:: html

.. image:: lines/images/platonic_edges.png
   :class: docfig

Platonic Solid Edges

.. raw:: html

    </div></a>






.. toctree::
   :hidden:

   lines/line_surf_vert.rst

.. raw:: html

    <a href="lines/line_surf_vert.html">
    <div class="docbutton">
    <span class="tooltiptext">Construction of Lines using surface vertex coordinates.</span>

.. only:: html

.. image:: lines/images/line_surf_vert.png
   :class: docfig

Lines from Surface Vertices

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/edges_compare.rst

.. raw:: html

    <a href="lines/edges_compare.html">
    <div class="docbutton">
    <span class="tooltiptext">Comparison of surface edge visualizations using surface and line objects.</span>

.. only:: html

.. image:: lines/images/edges_compare.png
   :class: docfig

Face Edge Visualizations

.. raw:: html

    </div></a>






.. toctree::
   :hidden:

   lines/earth_triangles.rst

.. raw:: html

    <a href="lines/earth_triangles.html">
    <div class="docbutton">
    <span class="tooltiptext">Surface edges using a alpha-clipped image-mapped surface.</span>

.. only:: html

.. image:: lines/images/earth_triangles.png
   :class: docfig

Face Edges from Image HSV Value Clipping

.. raw:: html

    </div></a>







.. raw:: html

    <div style='clear:both'></div>

Surface Contours
----------------------------------------------------------------------------------------







.. toctree::
   :hidden:

   lines/contours_z.rst

.. raw:: html

    <a href="lines/contours_z.html">
    <div class="docbutton">
    <span class="tooltiptext">A set of constant Z contour lines generated from a surface object.</span>

.. only:: html

.. image:: lines/images/contours_z.png
   :class: docfig

Vertical Contour Set

.. raw:: html

    </div></a>



.. toctree::
   :hidden:

   lines/b_demo.rst

.. raw:: html

    <a href="lines/b_demo.html">
    <div class="docbutton">
    <span class="tooltiptext">A set of constant Z contour lines generated from a surface object.</span>

.. only:: html

.. image:: lines/images/b_demo.png
   :class: docfig

Vertical Contour Set 2 

.. raw:: html

    </div></a>






.. toctree::
   :hidden:

   lines/elliptic_curve.rst

.. raw:: html

    <a href="lines/elliptic_curve.html">
    <div class="docbutton">
    <span class="tooltiptext">3D visualization of 2D function with coefficients.</span>

.. only:: html

.. image:: lines/images/elliptic_curve.png
   :class: docfig

Elliptic Curve 

.. raw:: html

    </div></a>






.. toctree::
   :hidden:

   lines/contour_lineset_colored.rst

.. raw:: html

    <a href="lines/contour_lineset_colored.html">
    <div class="docbutton">
    <span class="tooltiptext">Set of surface contour lines constructed normal to a direction.</span>

.. only:: html

.. image:: lines/images/contour_lineset_colored.png
   :class: docfig

Colored Surface Contour Set

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/conic.rst

.. raw:: html

    <a href="lines/conic.html">
    <div class="docbutton">
    <span class="tooltiptext">Planar contours on a conic surface.</span>

.. only:: html

.. image:: lines/images/conic.png
   :class: docfig

Surface Contours

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/fun011_contours.rst

.. raw:: html

    <a href="lines/fun011_contours.html">
    <div class="docbutton">
    <span class="tooltiptext">Planar contour colors taken from the surface color.</span>

.. only:: html

.. image:: lines/images/fun011_contours.png
   :class: docfig

Constant Z Contours of a Function

.. raw:: html

    </div></a>











.. toctree::
   :hidden:

   lines/pl_sph_contours.rst

.. raw:: html

    <a href="lines/pl_sph_contours.html">
    <div class="docbutton">
    <span class="tooltiptext">Comparison between planar and radial contours of an identical surface.</span>

.. only:: html

.. image:: lines/images/pl_sph_contours.png
   :class: docfig

Planar and Radial Contours

.. raw:: html

    </div></a>



.. toctree::
   :hidden:

   lines/jacks_contours.rst

.. raw:: html

    <a href="lines/jacks_contours.html">
    <div class="docbutton">
    <span class="tooltiptext">Contours from a Datagrid Surface.</span>

.. only:: html

.. image:: lines/images/jacks_contours.png
   :class: docfig

Elevation Contours of a Datagrid

.. raw:: html

    </div></a>






.. toctree::
   :hidden:

   lines/mand_contours.rst

.. raw:: html

    <a href="lines/mand_contours.html">
    <div class="docbutton">
    <span class="tooltiptext">Just for fun. Contours constructed from a surface.</span>

.. only:: html

.. image:: lines/images/mand_contours.png
   :class: docfig

Mandelbrot Contours

.. raw:: html

    </div></a>






.. toctree::
   :hidden:

   lines/mri_contours.rst

.. raw:: html

    <a href="lines/mri_contours.html">
    <div class="docbutton">
    <span class="tooltiptext">Contours constructed from a surface, project to a xy-plane.</span>

.. only:: html

.. image:: lines/images/mri_contours.png
   :class: docfig

MRI Contours 2D plot

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/townsend.rst

.. raw:: html

    <a href="lines/townsend.html">
    <div class="docbutton">
    <span class="tooltiptext">Contour constructed from a colormap surface and then projected onto a plane.</span>

.. only:: html

.. image:: lines/images/townsend.png
   :class: docfig

Contour Projections

.. raw:: html

    </div></a>






.. toctree::
   :hidden:

   lines/domain_coloring_2d.rst

.. raw:: html

    <a href="lines/domain_coloring_2d.html">
    <div class="docbutton">
    <span class="tooltiptext">Using surfaces to construct 2D plots.</span>

.. only:: html

.. image:: lines/images/domain_coloring_2d_1.png
   :class: docfig

Domain Coloring, 2D from 3D

.. raw:: html

    </div></a>




.. toctree::
   :hidden:

   lines/gomez_levy.rst

.. raw:: html

    <a href="lines/gomez_levy.html">
    <div class="docbutton">
    <span class="tooltiptext">Surface and contours are clipped with a surface based function.</span>

.. only:: html

.. image:: lines/images/gomez_levy_1.png
   :class: docfig

Clipping Surface and Contours

.. raw:: html

    </div></a>






.. toctree::
   :hidden:

   lines/gen_cont_proj.rst

.. raw:: html

    <a href="lines/gen_cont_proj.html">
    <div class="docbutton">
    <span class="tooltiptext">General contour projection to a plane.</span>

.. only:: html

.. image:: lines/images/gen_cont_proj.png
   :class: docfig

General Surface Contour Projections

.. raw:: html

    </div></a>






.. toctree::
   :hidden:

   lines/tube_disp_contours.rst

.. raw:: html

    <a href="lines/tube_disp_contours.html">
    <div class="docbutton">
    <span class="tooltiptext">Cylindrical contours on a cylindrical surface.</span>

.. only:: html

.. image:: lines/images/tube_disp_contours.png
   :class: docfig

Cylindrical Contours

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/contours_color.rst

.. raw:: html

    <a href="lines/contours_color.html">
    <div class="docbutton">
    <span class="tooltiptext">Comparison between two methods for contour coloring.</span>

.. only:: html

.. image:: lines/images/contours_color.png
   :class: docfig

Contour Coloring

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/sph_harm_contours.rst

.. raw:: html

    <a href="lines/sph_harm_contours.html">
    <div class="docbutton">
    <span class="tooltiptext">Comparison between two methods for contour coloring of a spherical function.</span>

.. only:: html

.. image:: lines/images/sph_harm_contours_1.png
   :class: docfig

.. raw:: html

   Representing f(&theta;,&phi;) Contours

.. raw:: html

    </div></a>













.. toctree::
   :hidden:

   lines/twist_contours.rst

.. raw:: html

    <a href="lines/twist_contours.html">
    <div class="docbutton">
    <span class="tooltiptext">Cylindrical contours on cylindrical surfaces.</span>

.. only:: html

.. image:: lines/images/twist_contours.png
   :class: docfig

Cylindrical Contours

.. raw:: html

    </div></a>





.. toctree::
   :hidden:

   lines/complex_contours.rst

.. raw:: html

    <a href="lines/complex_contours.html">
    <div class="docbutton">
    <span class="tooltiptext">Cylindrical contours of constant radius for complex functions.</span>

.. only:: html

.. image:: lines/images/complex_contours.png
   :class: docfig

Complex Cylindrical Contours

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/contours_spherical.rst

.. raw:: html

    <a href="lines/contours_spherical.html">
    <div class="docbutton">
    <span class="tooltiptext">Spherical contours on a functional defined surface.</span>

.. only:: html

.. image:: lines/images/contours_spherical.png
   :class: docfig

Spherical Contours

.. raw:: html

    </div></a>



.. toctree::
   :hidden:

   lines/earth_elev_contours.rst

.. raw:: html

    <a href="lines/earth_elev_contours.html">
    <div class="docbutton">
    <span class="tooltiptext">Spherical contours on a image-mapped surface.</span>

.. only:: html

.. image:: lines/images/earth_elev_contours.png
   :class: docfig

Earth Elevation Contours

.. raw:: html

    </div></a>





.. toctree::
   :hidden:

   lines/earth_dry_elev_contours.rst

.. raw:: html

    <a href="lines/earth_dry_elev_contours.html">
    <div class="docbutton">
    <span class="tooltiptext">Spherical contour projection of a image-mapped surface.</span>

.. only:: html

.. image:: lines/images/earth_dry_elev_contours.png
   :class: docfig

Earth Elevation Projected Contours

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/planar_cmap_contours.rst

.. raw:: html

    <a href="lines/planar_cmap_contours.html">
    <div class="docbutton">
    <span class="tooltiptext">Contours projected onto a planar surface.</span>

.. only:: html

.. image:: lines/images/planar_cmap_contours.png
   :class: docfig

Contours of a Colormap on a Planar Surface

.. raw:: html

    </div></a>






.. toctree::
   :hidden:

   lines/spherical_cmap_contours.rst

.. raw:: html

    <a href="lines/spherical_cmap_contours.html">
    <div class="docbutton">
    <span class="tooltiptext">Contours projected onto a spherical surface.</span>

.. only:: html

.. image:: lines/images/spherical_cmap_contours.png
   :class: docfig

Contours of a Colormap on a Spherical Surface

.. raw:: html

    </div></a>

















.. toctree::
   :hidden:

   lines/bunny_contours.rst

.. raw:: html

    <a href="lines/bunny_contours.html">
    <div class="docbutton">
    <span class="tooltiptext">Contours on a general surface object.</span>

.. only:: html

.. image:: lines/images/bunny_contours.png
   :class: docfig

Bunny Contours

.. raw:: html

    </div></a>






.. raw:: html

    <div style='clear:both'></div>

Filled Surfaces
----------------------------------------------------------------------------------------







.. toctree::
   :hidden:

   lines/contours_z_filled.rst

.. raw:: html

    <a href="lines/contours_z_filled.html">
    <div class="docbutton">
    <span class="tooltiptext">Surface contour lines are projected to the xy plane to create a surface.</span>

.. only:: html

.. image:: lines/images/contours_z_filled.png
   :class: docfig

Vertical Contour Filled Surface

.. raw:: html

    </div></a>





.. toctree::
   :hidden:

   lines/filled_octa_cont.rst

.. raw:: html

    <a href="lines/filled_octa_cont.html">
    <div class="docbutton">
    <span class="tooltiptext">Surface contour lines are spherically projected to the origin to create a surface.</span>

.. only:: html

.. image:: lines/images/filled_octa_cont.png
   :class: docfig

Spherical Contour Filled Surface

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/platonic_proj.rst

.. raw:: html

    <a href="lines/platonic_proj.html">
    <div class="docbutton">
    <span class="tooltiptext">Surfaces constructed from spherical or cylindrical projections of surface edge lines.</span>

.. only:: html

.. image:: lines/images/platonic_proj_1.png
   :class: docfig

Surface Edge Filled Surface

.. raw:: html

    </div></a>






.. toctree::
   :hidden:

   lines/dna_lines_proj.rst

.. raw:: html

    <a href="lines/dna_lines_proj.html">
    <div class="docbutton">
    <span class="tooltiptext">Surface constructed from a cylindrical projection of parametric lines.</span>

.. only:: html

.. image:: lines/images/dna_lines_proj.png
   :class: docfig

Helix Line Filled Surfaces

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/earth_proj.rst

.. raw:: html

    <a href="lines/earth_proj.html">
    <div class="docbutton">
    <span class="tooltiptext">Surface constructed from a spherical projection of image mapped surface contours.</span>

.. only:: html

.. image:: lines/images/earth_proj.png
   :class: docfig

Contour Filled Surface

.. raw:: html

    </div></a>









.. toctree::
   :hidden:

   lines/para_line_surface_1.rst

.. raw:: html

    <a href="lines/para_line_surface_1.html">
    <div class="docbutton">
    <span class="tooltiptext">Surface created by projecting a parametric line to a plane.</span>

.. only:: html

.. image:: lines/images/para_line_surface_1.png
   :class: docfig

Filled ParametricLine Surface 1

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/para_line_surface_2.rst

.. raw:: html

    <a href="lines/para_line_surface_2.html">
    <div class="docbutton">
    <span class="tooltiptext">Parametric line surface projections to y-z and x-z planes.</span>

.. only:: html

.. image:: lines/images/para_line_surface_2.png
   :class: docfig

Filled ParametricLine Surface 2

.. raw:: html

    </div></a>



.. raw:: html

    <div style='clear:both'></div>


.. _ruledsurfexamples:

Ruled Surfaces
----------------------------------------------------------------------------------------






.. toctree::
   :hidden:

   lines/screw_from_lines.rst

.. raw:: html

    <a href="lines/screw_from_lines.html">
    <div class="docbutton">
    <span class="tooltiptext">Projection of a line to a line to construct a surface.</span>

.. only:: html

.. image:: lines/images/screw_from_lines.png
   :class: docfig

Line to Filled Line Surface Construction

.. raw:: html

    </div></a>





.. toctree::
   :hidden:

   lines/hyperboloid.rst

.. raw:: html

    <a href="lines/hyperboloid.html">
    <div class="docbutton">
    <span class="tooltiptext">Ruled surface from the projection of a circle to a circle.</span>

.. only:: html

.. image:: lines/images/hyperboloid.png
   :class: docfig

Hyperboloid of Revolution

.. raw:: html

    </div></a>






.. toctree::
   :hidden:

   lines/fig_8_knot.rst

.. raw:: html

    <a href="lines/fig_8_knot.html">
    <div class="docbutton">
    <span class="tooltiptext">Inner and outer coloring of a surface constructed from a line to line projection.</span>

.. only:: html

.. image:: lines/images/fig_8_knot.png
   :class: docfig

Inner and Outer Surface Coloring

.. raw:: html

    </div></a>





.. toctree::
   :hidden:

   lines/mobius_lines.rst

.. raw:: html

    <a href="lines/mobius_lines.html">
    <div class="docbutton">
    <span class="tooltiptext">Mobius surface constructed from two edge lines, including multiple twist examples.</span>

.. only:: html

.. image:: lines/images/mobius_lines.png
   :class: docfig

Mobius From Lines

.. raw:: html

    </div></a>




.. toctree::
   :hidden:

   lines/conoid_lines.rst

.. raw:: html

    <a href="lines/conoid_lines.html">
    <div class="docbutton">
    <span class="tooltiptext">Line sequence is demonstrated for line to line surface construction.</span>

.. only:: html

.. image:: lines/images/conoid_lines.png
   :class: docfig

Line Sequence Dependent Surfaces

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/dna_lines.rst

.. raw:: html

    <a href="lines/dna_lines.html">
    <div class="docbutton">
    <span class="tooltiptext">Surface colored from two projected colored segmented lines.</span>

.. only:: html

.. image:: lines/images/dna_lines.png
   :class: docfig

Double Helix from Lines

.. raw:: html

    </div></a>








.. toctree::
   :hidden:

   lines/multi_ops.rst

.. raw:: html

    <a href="lines/multi_ops.html">
    <div class="docbutton">
    <span class="tooltiptext">Surface from contour lines from surfaces from lines to line projection.</span>

.. only:: html

.. image:: lines/images/multi_ops_1.png
   :class: docfig

Multiple Object Operations

.. raw:: html

    </div></a>






.. toctree::
   :hidden:

   lines/surf_edge2edge.rst

.. raw:: html

    <a href="lines/surf_edge2edge.html">
    <div class="docbutton">
    <span class="tooltiptext">Surface from surface edges to surface edges.</span>

.. only:: html

.. image:: lines/images/surf_edge2edge.png
   :class: docfig

Edge to Edge Filled Surface

.. raw:: html

    </div></a>






.. toctree::
   :hidden:

   lines/filled_octa_edges.rst

.. raw:: html

    <a href="lines/filled_octa_edges.html">
    <div class="docbutton">
    <span class="tooltiptext">Composite surface from surface edges filled to two spherical projections.</span>

.. only:: html

.. image:: lines/images/filled_octa_edges.png
   :class: docfig

Spherical Edge Filled Surface

.. raw:: html

    </div></a>







.. toctree::
   :hidden:

   lines/surf_edge2edge_2.rst

.. raw:: html

    <a href="lines/surf_edge2edge_2.html">
    <div class="docbutton">
    <span class="tooltiptext">Surface from surface edges to surface edges.</span>

.. only:: html

.. image:: lines/images/surf_edge2edge_2.png
   :class: docfig

Edge to Edge Filled Surface 2

.. raw:: html

    </div></a>