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Method of forming curved surfaces and the apparatus

  • US 4,885,702 A
  • Filed: 11/09/1988
  • Issued: 12/05/1989
  • Est. Priority Date: 07/27/1985
  • Status: Expired due to Term
First Claim
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1. A method of interactively generating electronic data which is representative of a curved surface and visually displaying the surface to an operator, wherein the method comprises the following steps of:

  • (a) selectively generating data representative of a desired deformation area including an action point on a surface to be deformed;

    (b) selectively determining a vector field function Fi representative of a relative deformation rate at each point within the deformation area;

    (c) selectively designating a deformation vector Vi * representative of a deformation quantity and a deformation direction at the action point within the deformation area;

    (d) electronically calculating a position vector representative of a deformation quantity of a curved surface at each point within the deformation area on the basis of the deformation vector Vi * and the vector field function Fi ;

    (e) electronically calculating a position vector Pi * representative of a deformed curved surface on the basis of the position vector representative of the deformation quantity of the curved surface and a position vector Pi-1 * representative of the surface to be deformed; and

    (f) visually displaying to an operator the deformed curved surface represented by the position vector Pi * from a preselected point of view.

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