Relation between polar coordinate and cartesian system, Computer Graphics

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)

Posted Date: 4/3/2013 5:08:23 AM | Location : United States







Related Discussions:- Relation between polar coordinate and cartesian system, Assignment Help, Ask Question on Relation between polar coordinate and cartesian system, Get Answer, Expert's Help, Relation between polar coordinate and cartesian system Discussions

Write discussion on Relation between polar coordinate and cartesian system
Your posts are moderated
Related Questions
Definitions of Hypermedia It is a term created through Ted Nelson in the year 1970. It utilized as a logical extension of the term hypertext, wherein graphics, video, audi

Computer simulation - Computer Aided Design Computer simulation is the manner of designing a model of a real or theoretical physical system, not including the model on a digit

What are the different types of parallel projections?  The parallel projections are basically divided into two types, depending on the relation among the direction of projectio

What is a dot size and interdot distance? Dot size may be explained as the diameter of a single dot on the devices output. Dot size is also known as the Spot size.  Interdo

Problem : a. (i) Give another name for adjacent color. (ii) Describe briefly what do you understand by an adjacent color? b. (i) Describe briefly what do you unders

Cel Animation - Computer Animation Making an animation by using this method, all characters are drawn on a separate piece of transparent paper. Also a background is drawn on a

Cohen Sutherland Line Clippings Algorithm The clipping problem is identified by dividing the region surrounding the window area into four segments Up as U, Down as D, Left as

Differentiate among interpolation spline and approximation spline?  When the spline curve passes by all the control points then it is known as interpolate. When the curve is

hi I need help with photoshop

Midpoint Circle Generation Algorithm   Just as a line drawing algorithm approximates infinite number of points on a line segment by only a finite number of pixels, a circle dra