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Details
Inventors: Kato, Kiyotaka; Okamoto, Takashi;
Assignee: Mitsubishi Denki K.K. (Tokyo, JP)
Primary Examiner: Harkcom; Gary V.
Assistant Examiner: Nguyen; Phu K.
Attorney, Agent or Firm: Sughrue Mion Zinn Macpeak & Seas

A curved surface designing method comprises the steps of a first step of inputting edge shape data of n-sides of a curved surface, a second step of obtaining a regular n-sided polygon in a parameter space on the basis of the given data of n sides, a third step of calculating distance parameters on the basis of the regular n-sided polygon obtained by the second step, a fourth step of calculating blending values on the basis of the distance parameters, a fifth step of mapping an inner point D of the regular n-sided polygon onto the respective sides so as to calculate boundary parameters, a sixth step of calculating at least one of three-dimensional coordinate points, and, if necessary, tangent vectors, on sides which are boundaries of the curved surface on the basis of the boundary parameters, and a seventh step of calculating arbitrary points on the curved surface on the basis of the distance parameters, the blending values, the three-dimensional coordinate points of the respective sides, and, if necessary, the tangent vectors, of the respective sides.

DETAILED DESCRIPTION The present invention has been attained to solve the foregoing problems, and an object thereof is to provide a method of designing a polygonal curved surface with three or more sides in a simple way and at a high speed.
A curved surface designing method according to the present invention comprises the steps of: a first step of inputting edge shape data of n sides of a curved surface where n is an integer above three, a second step of obtaining a regular n-sided polygon in a parameter space on the basis of the given data of n sides, a third step of calculating distance parameters on the basis of the regular n-sided polygon obtained by the second step, a fourth step of calculating blending values on the basis of the distance parameters, a fifth step of mapping an inner point P of the regular n-sided polygon onto the respective sides so as to calculate boundary parameters, a sixth step of calculating at least one of three-dimensional coordinate points, and, if necessary, tangent vectors, on sides which are boundaries of the curved surface on the basis of the boundary parameters, and a seventh step of calculating arbitrary points on the curved surface on the basis of the distance parameters, the blending values, the three-dimensional coordinate points of the respective sides, and, if necessary, the tangent vectors, of the respective sides.



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