bezier curve

B b

Transcription

- US Pronunciation
- US IPA

- US Pronunciation
- US IPA

Definitions of bezier curve words

noun Technical meaning of bezier curve (graphics) A type of curve defined by mathematical formulae, used in computer graphics. A curve with coordinates P(u), where u varies from 0 at one end of the curve to 1 at the other, is defined by a set of n+1 "control points" (X(i), Y(i), Z(i)) for i = 0 to n. P(u) = Sum i=0..n [(X(i), Y(i), Z(i)) * B(i, n, u)] B(i, n, u) = C(n, i) * u^i * (1-u)^(n-i) C(n, i) = n!/i!/(n-i)! A Bezier curve (or surface) is defined by its control points, which makes it invariant under any affine mapping (translation, rotation, parallel projection), and thus even under a change in the axis system. You need only to transform the control points and then compute the new curve. The control polygon defined by the points is itself affine invariant. Bezier curves also have the variation-diminishing property. This makes them easier to split compared to other types of curve such as Hermite or B-spline. Other important properties are multiple values, global and local control, versatility, and order of continuity. 1
noun bezier curve (mathematics) A parametric curve defined by a set of control points, two of which are the ends of the curve, and the others determine its shape. Bézier curves are applied e.g. in computer graphics to produce smooth, infinitely scalable curves. 0

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Parts of speech for Bezier curve

noun

adjective

verb

adverb

pronoun

preposition

conjunction

determiner

exclamation

Full grammatical hierarchy of Bezier curve

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