Theory Builder Title

Visual Evaluation of 'Lines' - Curves, Edges and Isoparms

We evaluate the visual quality of a line using a curvature 'comb' plot (shown in green below). This can be applied to curves, surface edges and isoparms, and to section lines through a surface.

Lines that can be evauated

Interpretation of Curvature Combs

Curvature Comb Calculation

The 'Curvature' is calculated as the Inverse of the Radius at any one point. This calculation is displayed graphically at discreet points along the curve, and it's the way in which these curvature 'combs' change along the curve - the flow - that informs us about the shape:

Calculation of the curvature value

Understanding the 'Flow' of the Curvature Comb

The comb plot can give you valuable information on the look and 'feel' of your curve or surface, and with experience you will learn to interpret the comb plot and understand how it relates to the real-life surface.

Here are some typical interpretations:

Interpreting the Curvature Comb plot on a single curve

Evaluating Continuity Between Curves

So far we've just looked at applying the comb plot to a single curve or isoparm. But comb plots are key to accurately understanding how two curves or surfaces join - their 'continuity'.

The four continuity levels, G1, G1, G2 and G3 are explained in detail in the Continuity 1 : G0, G1, G2, G3 Theory Builder.

This is how the comb plots between two curves are shown for each continuity level:

Interpreting the Curvature Comb plot between curves

Tools to Create Curvature Combs

Locators → Curve Curvature

Apply the Curve Curvature tool by clicking on a curve or surface isoparm. At this time (while the locator is active) you can adjust the comb plot interactively using the mouse buttons.

Using the Curve Curvature locator

To go back to an existing comb plot to change the settings:

Curvature Comb on Cross-Sections

Curvature comb plots can be applied along cross-sections using one of:

This has the advantage that it is independent of the surface orientation and isoparm direction, so gives an accurate comparison across different surfaces.

Curvature Comb plots on cross-sections

It's important to note that these comb plots are applied to the tessellated surface, and so the accuracy is controlled by the Diagnostic Shading tolerance setting.

For more information on creating different types of cross-section, see the v2011 Update Movies - Cross-Section Editor.

Curvature Comb on Isoparms

A curvature comb plot can be applied along the isoparm directions of a surface using the Control Panel tools:

Curvature comb display on isoparms

Circle examples