What Is A Curve Exactly And Its Representation In Computer Graphics In Hindi | Curves In Computer Graphics
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Curves And Surfaces In Computer Graphics In Hindi- Topic Description:
Types of Curves. A curve is an infinitely large set of points. Each point has two neighbors except endpoints. Curves can be broadly classified into three categories − explicit, implicit, and parametric curves.
What are curves in computer graphics?
Different types of objects are drawn on the screen. An object can be drawn by using curves many times.
What are the different types of Curves?
Curves are classified into three categories - explicit, implicit and parametric curves.
Implicit Curves
The set of points on curve are defined by employing a procedure that can be tested to see if a point is on the curve. An implicit function is used to define the implicit curve
f(x, y) = 0
The multivalued curves can be represented such as for an single x value, many y values. The very common example is circle, and is implicitly represented as:
Explicit Curves
The function y = f(x) can be plotted as a curve, which is known as explicit representation of the curve. For each of the value of x, a single value y is normally computed by the function.
Parametric Curves
Parametric curves are the curves which have parametric values. Practically parametric curves are mostly used. The form of a two-dimensional parametric curve is:
P(t) = f(t), g(t) or P(t) = x(t), y(t)
The functions f and g become the (x, y) coordinates of any point on the curve, and the points are obtained when the parameter t is varied over a certain interval [a, b], normally [0, 1].
What are Bezier Curves?
French engineer Pierre Bézier has discovered Bezier curve. The curves are generated under the control of other points. Curve is generated by using approximate tangents. Mathematically the curve is represented as:
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19 май 2019
