Method and apparatus for producing a curve image

Details Method and apparatus for producing a curve image Method and apparatus for producing a curve image

1986-06-13

1988-07-26

Malzahn, David H.

Boots, shoes, and leggings

G06F 1531

Patent

active

047605480

ABSTRACT:
A method and apparatus of providing a visual representation of a curve image wherein curve image data is provided by a B-Spline equation computed with a forward difference technique using scaled integer variables. The method provides for the scaling of the initial base matrix computation of the geometry vector coefficients followed by the computation of the forward difference interval coefficients using integer arithmetic. The curve coordinate values for each interval are computed from the forward difference interval coefficient integers descaled by the scaling parameter. By employing integer arithmetic in a divide approximation technique, the use of floating point arithmetic is avoided. The apparatus for producing the visual representation of the curve image includes a computational section that provides for pipelined computations of the forward difference interval coefficients to provide high-speed curve coordinate value computation.

REFERENCES:
patent: 4272808 (1981-06-01), Hartwig
patent: 4441104 (1984-04-01), Finney
patent: 4484298 (1984-11-01), Inoue et al.
IBM Technical Disclosure Bulletin, vol. 25, No. 11B, Apr. 1983 to Wahl and Wong, pp. 5880-5882, entitled "High Speeds for Generating or Updating Graphics with Splines on a Screen".
IBM Technical Disclosure Bulletin, vol. 23, No. 1, Jun. 1980 to Niehoff, pp. 155-157, entitled "Graphics Clipping of Polystrings and Polygons".
Article on "Local Control of Bias and Tension in Beta-Splines", by Barskey & Beatty in ACM Transactions on Graphics, vol. 2, No. 2, Apr. 1983, pp. 109-134.
Article on "An Application of Bertrand Curves and Surfaces to CADCAM", in Computer-Aided Designs, vol. 17, No. 8, Oct. 1985, pp. 348-352 to Papaioannou and Kiritsis.

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