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cyclically connected curve - translation to russian
WIKIMEDIA DISAMBIGUATION PAGE
Connected(song); Connected (song); Connected (album); Connected (disambiguation); Connected (film); Connected (TV series); Connected (docu-series)
cyclically connected curve
математика
циклически связная кривая
simply connected domain
TOPOLOGICAL SPACE WHICH HAS NO HOLES THROUGH IT
Simply-connected; Multiply connected; Multiply-connected; Doubly connected; Singly connected; Simply connected set; 1-Connected; 1-connected; Simply-connected set; Simply-connected domain; Simply connected domain; Simply connected; Non-simply-connected; Simply Connected; Simply connected topological space
односвязная область
connected speech
CONTINUOUS SEQUENCE OF SOUNDS IN SPOKEN LANGUAGE
Connected discourse; Connected speech analysis
связная речь
Definition
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.
[What do these properties mean? ]
(1996-06-12)
