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... **Scaling about a Reference Point:-** If the center of the object is not at the origin, in this case we should consider a scaling as a composite transformation which involves the following steps. 1. Translation of the reference **(xc,yc)** to the origin 2. Scale the object by scale factor by * ...
written 8 months ago by vbadbe60
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... **Solution:-** ![enter image description here][1] ![enter image description here][2] ![enter image description here][3] [1]: https://i.imgur.com/rEbKsQN.png [2]: https://i.imgur.com/yqKpp0v.png [3]: https://i.imgur.com/flmzFIV.png ...
written 8 months ago by vbadbe60
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... **3D clipping:-** The window, which served as clipping boundary in two-dimensional space In three dimensional space the concept can be extended to a clipping volume or view volume. The two common three dimensional clipping volume are a rectangular parallelepiped, i.e. a box, used for parallel or a ...
written 8 months ago by vbadbe60
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... After converting the description of objects from world co-ordinate to viewing co-ordinates, we can project the three dimensional objects onto the two dimensional view plane. There are two basic ways of projecting objects onto the view plane: parallel projection and Perspective projection. **Parall ...
written 8 months ago by vbadbe60
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... **Bezier Curves:-** Bezier curve is an another approach for the construction of the Curve.A Bezier curve is determined by a defining polygon. Bezier curves have a number of properties that make them highly useful and convenient for curve and surface design. They are also easy to implement. Therefor ...
written 8 months ago by vbadbe60
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... **B-Spline curves:-** **Spline Representation:-** To produce a smooth curve through a designated set of points, a flexible strip called spline is used. Such a spline curve can be mathematically described with a piecewise cubic polynomial function whose first and second derivatives are continuous a ...
written 8 months ago by vbadbe60
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... **Koch Curve:-** The Koch curve can be drawn by dividing line into 4 equal segments with scaling factor 1/3 and middle two segments are so adjusted that they form adjacent sides of an equilateral triangle as shown in the Fig. 16(a) .This is the first approximation to the koch curve. To apply the ...
written 8 months ago by vbadbe60
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Answer: A: Write a note on Fractals
... **Fractal:-** A fractal is defined as a rough or fragmented geometric shape that can be split into parts, each of which is approximately a reduced-size reproduction of the complete shape based on the property known as **self- similarity**. It was derived from the Latin word **fractus** which means ...
written 8 months ago by vbadbe60
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... **3D objects representation methods:-** Many real world objects are inherently smooth and involve curves to represent them some natural objects are neither perfectly flat nor smoothly curved but often have rough jagged contours. These objects have different characteristics and different materials. ...
written 8 months ago by vbadbe60
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... **Sweep Representations:-** Sweep representations are used to construct three dimensional objects from two dimensional shape .There are two ways to achieve sweep: **Translational sweep** and **Rotational sweep**. In translational sweeps, the 2D shape is swept along a linear path normal to the plan ...
written 8 months ago by vbadbe60

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