Method of and system for displaying three-dimensional curve on t

Details Method of and system for displaying three-dimensional curve on t Method of and system for displaying three-dimensional curve on t

1992-09-09

1997-03-04

Zimmerman, Mark K.

395119, G06T 1510

Patent

active

056088558

ABSTRACT:
In order to display a three-dimensional curve on a two-dimensional display device, a stereographic shape or a tube is generated on the basis of the feature quantity of the curve, and it is displayed on the two-dimensional display screen of the display device instead of the curve or together with the curve. The diameter of the tube is proportional to the radii of curvature of the curve at the individual points of the curve. Lines or stripes corresponding to the torsion of the curve can also be displayed on the side surface of the tube. With this construction, the three-dimensional curve can be grasped stereographically by the use of the conventional two-dimensional display device without preparing any special device for stereoscopic vision. Thus, the capability of expressing the shape of a curved surface which is generated on the basis of such a three-dimensional curve is enhanced in a curve input operation which is the initial stage of a shape design in mechanical CAD or CG.

REFERENCES:
patent: 5043920 (1991-08-01), Malm et al.
patent: 5193628 (1993-03-01), Hill, III et al.
patent: 5257345 (1993-10-01), Malm
Levy et al., "Graphical Visualization of Voritcal Flows by Means of Helicity", AIAA Journal, vol. 28, No. 8, Aug. 1990, pp. 1347-1352.
Schroeder et al., "The Stream Polygon: A Technique for 3D Vector Field Visualtion", IEEE Visualization 1991 Conference, pp. 126-132.
Yates et al., "Streamlines, Vorticity lines, and Vortices Around Three-Dimensional Bodies", AIAA Journal, vol. 30, No. 7, Jul. 1992, pp. 1819-1826.
M. Higashi et al., "New CAD System for Style Design of an Outer Shape", pp. 83-91.

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