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Cubic Bernstein-Bézier curve segment point affinity

IP.com Disclosure Number: IPCOM000013866D
Original Publication Date: 2001-Jan-01
Included in the Prior Art Database: 2003-Jun-18
Document File: 1 page(s) / 37K

Publishing Venue

IBM

Abstract

Cubic Bézier (Bernstein-Bézier) curves are used in computer drawing packages. In order to select a curve and manipulate it, it is necessary to determine whether a given point (x,y) lies on or near the curve segment. The following describes and approximate approach.

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Cubic Bernstein-Bézier curve segment point affinity

   Cubic Bézier (Bernstein-Bézier) curves are used in computer drawing packages. In order to select a curve and manipulate it, it is necessary to determine whether a given point (x,y) lies on or near the curve segment. The following describes and approximate approach.

Bézier curve A Bézier curve with n control points is a sum of Bernstein polynomials, viz.

BernsteinBezier.pd

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