Graphic display method and apparatus for rotating an object in t

Details Graphic display method and apparatus for rotating an object in t Graphic display method and apparatus for rotating an object in t

1993-02-24

1996-12-24

Zimmerman, Mark K.

G06T 1740

Patent

active

055880975

ABSTRACT:
A semitransparent spherical surface having as its center O, a fixed point in an object being displayed on a screen of a tablet, is generated so as to enclose the object. Then, three degrees of freedom for orientation are determined by pen-manipulation on the spherical surface. That is, a plurality of points (P0-P3) on the spherical surface are specified in a predetermined order. Points P0 and P1 specify two polar surface coordinate positions on the spherical surface for rotation of the object in a polar coordinate system and simultaneously specify a rotation axis OP1 connecting the center O to point P1. Then a rotation angle .alpha. about this axis OP1 is specified by the specification of points P2 and P3. Then, calculations for rotating the object to the specified orientation are performed, and the rotated object is displayed. According to this method, the object in three-dimensional space can be rotated to an arbitrary orientation in a desired manner.

REFERENCES:
patent: 4734690 (1988-03-01), Waller
patent: 5019809 (1991-05-01), Chen
patent: 5386507 (1995-01-01), Teig et al.
patent: 5422987 (1995-06-01), Yamada
"The Showplace Compannion", Pixar, 1990, pp. 101-106.
Chen et al., "A Study in Interactive 3-D Rotation Using 2-D Control Devices", Computer Graphics, vol. 22, No. 4, Aug. 1988, pp. 121-129.

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