Relation between polar coordinate and cartesian system, Computer Graphics

Assignment Help:

Relation between polar coordinate system and Cartesian system

A frequently utilized non-cartesian system is Polar coordinate system. The subsequent figure A demonstrates a polar coordinate reference frame. Within polar coordinate system a coordinate position is identified via r andq, here r is a radial distance from the coordinate origin and q is an angular displacement from the horizontal as in figure 2A. Positive angular displacements are counter clockwise. Angle q is measured in degrees. One full counter-clockwise revolution regarding the origin is treated as 3600. A relation among Cartesian and polar coordinate system is demonstrated in Figure 2B.

1968_Relation between polar coordinate and Cartesian system.png

Figure: A polar coordinate reference-frame          Figure 2B: Relation between Polar and Cartesian coordinates

Consider a right angle triangle in Figure B. By utilizing the description of trigonometric functions; we transform polar coordinates to Cartesian coordinates:

x=r.cosθ

y=r.sinθ

 The opposite transformation from Cartesian to Polar coordinates is:

 r=√(x2+y2) and θ=tan-1(y/x)


Related Discussions:- Relation between polar coordinate and cartesian system

Scancode, what is mean by scan code

what is mean by scan code

Write a c-code that plots an object on the window, Write a C-code that plot...

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.

Types of touch panels - input and output devices, Types of Touch panels ...

Types of Touch panels 1) Electrical TSS: Wire grid or the other conductive coating is utilized to specify a voltage drop at the point touched point from that the position ma

Illustration of bezier curves - modeling and rendering, To prove ‾P (1) = p...

To prove ‾P (1) = p n Solution : since in the above case we determine each term excluding B n,n (u) will have numerous of (1 - u) i (i = 0 to n) consequently by using u = 1

Parameterized systems - computer animation, Parameterized Systems - Compute...

Parameterized Systems - Computer Animation Parameterized Systems is the systems which permit objects motion features to be given as part of the object descriptions. The adjus

What is seed fill, What is seed fill?  One way to fill a polygon is to ...

What is seed fill?  One way to fill a polygon is to begin from a given point (seed) known to be inside  the polygon and highlight outward from this point i.e. neighboring pixel

Animation, what type of animation is produced by the line y=mx+c?

what type of animation is produced by the line y=mx+c?

Key frames -traditional animation techniques, Key Frames -Traditional Anima...

Key Frames -Traditional Animation Techniques The senior artists go and draw the main frames of the animation, after a storyboard has been laid out. These main frames are frame

Can you give some basic features of computer graphics, Can you give some ba...

Can you give some basic features of computer graphics? The methods of computer graphics are the manipulation and creation of graphics (artificial images) by computer.

Uses for gif and jpeg files, Uses for GIF and JPEG Files: Microsoft I...

Uses for GIF and JPEG Files: Microsoft Internet Explorer, Netscape Navigator and most the other browsers maintain both JPEG and GIF graphics. Theoretically, you could util

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