Important points about the surface of revolution, Computer Graphics

Assignment Help:

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.


Related Discussions:- Important points about the surface of revolution

Random painter graphical application, "Random Painter" uses an array to sto...

"Random Painter" uses an array to store a collection of randomly coloured shapes, either squares or circles as filled shapes or outlines.  Using an array imposes severe limitati

Visible surface detection - modeling and rendering , Visible Surface Detect...

Visible Surface Detection - Modeling and Rendering Provided a set of 3-Dimentional objects and a viewing position for the generation of realistic graphics show, we want to de

Touch panels - input and output devices, Touch Panels - Input and output de...

Touch Panels - Input and output devices It allows displayed screen or object positions to be selected along with the touch of the finger and is also termed as Touch Sensitive

Exemplify bresenham line generation algorithm by digitizing, Example: Exem...

Example: Exemplify the Bresenham line generation algorithm through digitizing the line along with end points (20, 10) and (30, 18) Solution: m =    (y2 - y1)/( x2 - x1)  =

Curved surfaces, Build a program that allows: 1. using mouse or keyboard...

Build a program that allows: 1. using mouse or keyboard to move around on a set of 16 control points;  2. modify the value (drag along x, y, or z) of a point;  3. display

Essentialily of computer simulation, Essentialily of Computer Simulation ...

Essentialily of Computer Simulation You may want to understand why to do simulation? Is there any one way to perform the tasks? To converse these matters lets briefly discuss

Translation - 2-d and 3-d transformations, Translation - 2-d and 3-d Transf...

Translation - 2-d and 3-d Transformations It is the process of changing the position of an object. Suppose an object point P(x,y)=xI+yJ be moved to P'(x',y') by the specified

Discuss in detail about rendering, Discuss in detail about rendering Co...

Discuss in detail about rendering Computer animation uses a technique termed as avars (animation variable) where starting point is generally a series of stick figures; for exam

Single point perspective transformation, Single Point Perspective Transform...

Single Point Perspective Transformation - Viewing Transformations In order to derive the particular point perspective transformations beside the x and y-axes, we construct fi

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd