Important points about the surface of revolution, Computer Graphics

Important points about the Surface of Revolution

a) if a point on base curve is given by parametric form, that are: (x(u), y(u), z(u)) so surface of revolution regarding to the x-axis will be as:

[x(u), y(u), z(u)] → [x(u), y(u) cos θ, y(u) sin θ] 0 ≤ u ≤ 1;       0 ≤ θ ≤  2p.

b)  Tracing a picture involves movement of points from one position to the other which is the translational transformation is to be utilized. Moving the respective points on base curve from one place to other traces an image, if (x, y, z) is a point on a base curve.

c)  If ‾d ⇒ the direction wherein curve is to be shifted and v⇒ scalar quantity representing the amount by that curve is to be moved.

Displacing the curve via amount v ‾d , the curve will be traced on a new position or is swept to a new place.

(x(u), y(u), z(u)) → coordinate points of base curve in parametric form as:

(u → parameter) (x(u), y(u), z(u)) → (x(u), y(u), z(u) ) + v ‾d;    

 0 ≤ u ≤ 1;          0 ≤ v ≤ 1.

Usually, we can identify sweep constructions by using any path. For rotational sweeps, we can shift along a circular path via any angular distance from 0 to 3600. For noncircular ways, we can identify the curve function explain the path and the distance of travel beside the path. Additionally, we can change the shape or size of the cross section along the sweep way. Or we could change the orientation of the cross section relative to the sweep path like we shift the shape via a region space.

Posted Date: 4/4/2013 6:16:01 AM | Location : United States







Related Discussions:- Important points about the surface of revolution, Assignment Help, Ask Question on Important points about the surface of revolution, Get Answer, Expert's Help, Important points about the surface of revolution Discussions

Write discussion on Important points about the surface of revolution
Your posts are moderated
Related Questions
What are the utilizations of Inverse transformation? Provide the Inverse transformation for translation, shearing, reflection, scaling and rotation. Solution: We have observed

determine the form of the transformation matrix for a reflection about an arbitrary line with equation y=mx+b.

Which is the most usable and frequent method to generate a character?

Frame Buffers - Graphics Hardware The storage region in a raster scan display system is set as a two-dimensional table. All row-column entry stores information as brightness

Potentially entering and leaving points - P E and P L The intersection point of the line and window might be classified either like potentially leaving or entering. Before g

Write a C-code that plots an object on the window and on the user's click of mouse on the window, the object starts rotating continuously until the user presses the mouse again.

Algorithms for Basic Line Segment Plotting There are two important algorithms for basic line segment plotting-DDA algorithm and Bresenham algorithm.  Both the algorithms use th

For good understanding of the application of the rules specified above see the following figure, where the shaded region demonstrates the clipped polygon. Fi

Disadvantage of the Raster Scan Display Device The major disadvantage of the raster scan is the jagged nature of the lines, happening from the information that the pixels are

Hypermedia: it is a superset of hypertext. Hypermedia documents comprise links not only to the other pieces of text, although also to other forms of media: sounds and images and m