دانلود رایگان مقاله شانه انحنا و قطعه انحنا

1 Introduction

Many objects in Industrial or Conceptual Design rely on an initial set of “feature curves.” These are the essence of the shape information for the object’s appearance. For many applications, these curves are planar, for example flow lines of a ship hull or a grid of cross sections of the roof of a car. For others, they will be 3D space curves, such as the outline of a car’s hood. Either type of curve has to be “fair” or “pleasant,” thus giving rise to acceptable surfaces for the object to be designed. The question arises as to what constitutes a fair curve. Most CAD systems seem to rely on some sort of curvature information for this, and the prevailing tools are curvature combs and curvature plots. A comparison of these tools is the topic of the present paper.

6. Conclusion

We explored some properties of combs. For 3D curves, they are themselves 3D objects offering a complex mix of information and require a 3D visualization environment. By comparison, curvature plots are simpler and, as a consequence, omit 3D information that might be misleading to the designer. Based on our studies, we recommend using curvature plots for true space curves and combs for nearly planar curves. Of course, the actual choice should be application-dependent. Curvature plots are best for the initial design of one curve. Combs excel when multiple curves are displayed.