Surface Plots

The following are examples of creating surface color and geometry.

Base Surface Plots

Surfaces constructed from user defined vertex and face lists.

Construction of a surface from vertex, face and edge lists.

Base Class Surface

Construction of a surface from vertex and face lists.

Base Class Surface 2

Surface edges of a surface constructed with faces having different number of edges per face.

Truncated Octahedron Edges

Geometric mapping of a colored rhombi cuboctahedron surface.

Base Class Geometric Mapping

Faces defined for other than a 2D surface.

Hypercube

Surface vertices, face centers, edge centers, vertex normals, face normals and edges.

Surface Elements

Explicit Surfaces, f(x,y)

Simple example of multiple operations and settings for surface plotting.

Hello World Example

Simple example of showing a surface grid.

Hello World Grid Example

Using Spherical Coordinate base surface and auto scaling.

Hello World Example 2

Using only a single geometric mapping for visualization.

Hello World Grid Example 2

Basic plotting demonstrated with multiple functions.

Function Plots, z = f(x,y)

Plots of z=f(x,y) over a specific x, y domain.

Setting a domain for function Plots

Orienting the base plane of the PlanarSurface from the z to the x or y coordinate plane.

Alternative Coordinate View

Color map used to indicate radial position.

Radial Color Mapped

Extending the angular coordinate domain to ±3π.

Sliced Polar Base Surface

Surface domain is changed from [-1,1] to [0,1], scaled, and then shown on scaled axis.

Normalization and Scaling

Visualization of vibration modes of a cylinder.

Surface Displacements in Cylindrical Coordinates

Applying geometric mapping to an already mapped surface.

Multiple Geometric Maps

Plot with edges emphasized instead of surface faces.

Wireframe Plots

Using native coordinates, map surfaces into RGB, HSV and Lab color spaces.

Color Space

Geometric and color mapping of a Dodecahedron.

Dodecahedron Star

3D plot using a grid base surface.

3D Demo

Construction of the S3Dlib surface logo using S3Dlib.

S3Dlib

Use of a simple random SphericalSurface object.

Random Grid Geometry

Implicit Surfaces, f(x,y,z)

Example of defining an simple implicit function surface.

World, Hello

Basic implicit function surface.

Goursat Surface

Minimal surface with interal/external sections.

Schwarz P Surface

Example of an implicite surface function.

Nodal Surface

Visualization of a 3D function evaluated at a constant value.

Spiral Surface

Surface of constant value in a scalar field.

Iso Surface

Set of contour surfaces in a scalar field.

Contour Surfaces within a Domain

Set of contour surfaces in a scalar field.

Schwarz P Contour Surfaces within a Domain

Effect of large fluctuations of functional values.

Argument Value Sensitivity

Surface sets, colormapping and point cloud visualizations.

Alternative Visualizations

Surface of constant magnitude or component direction in a vector field.

Vector Surfaces

Just for fun.

Interesting Implicit Surface

Complex Number Surfaces, f( ℂ )

Two alternative visualizations representing a function of two variables in spherical coordinates. Two Methods of Representing f(θ,φ)

Two methods of visualizing complex numbers using either a polar, planar or cylindrical coordinates.

Complex Number Representation, Geometry and Colormap

Technique for visualizing functions having a singularity.

Functions having a Singularity

Method of visualizing radial and angular components of complex numbers .

Complex Number Representation, Radius and Angle

Complex number surfaces using domain coloring.

Domain Coloring

Two methods of visualizing complex numbers using color attributes of hue and value.

Complex Number Representation, Hue and Value

Parametric Surfaces, f(u,v)

Use of planar surface object for visualizing parametric equations.

Boy Surface, Planar to XYZ

Using a polar surface object for visualizing parametric equations.

Polar Coordinates to XYZ

Another example of using a polar surface object for visualizing parametric equations.

Polar Coordinates to XYZ, 2

Using a spherical surface object for visualizing parametric equations.

Spherical Coordinates to XYZ

Example of a complex surface geometry.

Klein Bottle, Spherical to XYZ

Example of a complex surface geometry.

Figure 8 Klein Bottle

Ruled Surfaces

Ruled surfaces are constructed by connecting two line objects. Examples are given in the Line and Surface Contours section.

View and Color Control

Use of planar clipping of a surface.

Clipped Surface

Comparison of three methods for surface clipping.

Geometric and Alpha Clipping

Visualization of inner and outer surface sides.

Inner Surface

Transformed surface showing both origin and transformed coordinates.

Coordinate Transform

Demonstrations of applying a surface texture using geometry or color.

Surface Texture

Use of an alternative function for Mobius strip shading.

Shaded Mobius Strip Visualization

Using geometric mapping into RGB color space.

Functional RGB Color Mapping

Using geometric mapping into HSV color space.

Functional HSV Color Mapping

Two methods of selecting four values from a Cmap using angular position.

Segmented Cmap Operation

Use of the color array argument to assign face colors.

Face Color Array

Visualizing the subtle geometric variations using a normalized color map.

Base Face Variations

Comparison between two methods for generating non-uniform face distributions surfaces.

Pntsurf versus Rand Surfaces

Surface Comparison Examples

Multiple plots using different values for a function parameter.

Parametric Set

Use of a diverging colormap.

Parametric Set 2

Comparison of the functional description of egg shapes..

Egg Shape

Planes of RGB planes and HSV planes in Lab space.

Lab Planes

Planes of Lab planes in RGB space.

RGB Planes

Applying colormaps to flat surfaces using triangulation.

Platonic Solids

Plots of four example surface face area and shape distributions.

Surface Face Distributions

Plots of SphericalSurface random face and vertex distributions.

Random Face Distributions