Capabilities

EleRender™ software renders a surface on a display or printer. It can superimpose curves on the surface. In particular, it plots geodesics. EleRender can shade a surface proportional to a scalar field. For example, in an engineering problem, shading can represent temperature.

EleRender capabilities include:

• Depth sorting accurately renders self-intersecting surfaces.

EleRender user-controlled capabilities include:

• View point (camera position)
• View plane (zoom)
• Aim point
• Projective transformation
• Hidden surface removal
• Light position
• Ambient-Diffuse-Specular lighting
• Phong reflective highlighting

Also, EleRender offers the following user-controlled options:

• Superimposed curve plotting
• Curve discretation marker
• Parametric curves
• Scalar field shading

The unified manifold and geodesic dialog box allows the user to set many graph properties.

EleRender is distributed with Elements™ Engineering-Scientific Workspace. However, it is a software component that can be embedded in any ActiveX document.

Examples

EleRender examples are:

Sphere with Geodesic

Torus (elliptical cross section) with Geodesic

Salient Assemblage with Geodesic

Close-up with parameter curves

Here is a geodesic trajectory on an ellipsoid color-coded by Gaussian curvature.

Related Software

• Elements™ Engineering-Scientific Workspace.
• EleGeodesic™ computes geodesics on multidimensional manifolds.
• EleNTorus™ computes n-sphere, n-ellipsoid, and n-torus.
• EleSalient™ software computes salient assemblages (recursive bumps) on n-dimensional manifolds, including all EleNTorus manifolds.
• EleGrid™ - grid generator with recursive refinement.