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
Consider at line segment AB in the Figure k, parallel to the z-axis along with end points A (3, 2, 4) and B (3, 2, 8). Perform a perspective projection on the z = 0 plane from the

self test exercise 17 asked you to overload the operator >> and the operator Overload biinary operator + to add pairs according to the rule (a, b) + (c, d) = (a + c, b, + d) overl

Bitmap Graphics: The information below illustrates bitmap data. Bitmap images are a set of bits that form an image. The image comprises a matrix of individual dots or pixels wh

The image classification is the process to categorize images into one of several classes or categories. In this project, there are seven categories (Piano, Kangaroo, Strawberry, Su

(a)  Voltage or Electro-Magnetic Field Tablet and Pointer: This has a grid of wires, embedded in the tablet surface along with various voltages or magnetic fields consequent to va

1. Using a time Delay Method The delay required between issuing each character to the LCD is about 5-10ms (it's simply known as DELAY). When programming an LCD, a long delay is

How many 128 x 8 RAM chips are needed to provide a memory capacity of 4096 16 bits?

Containment Test -  visible surface detection Test: That is Containment test: it can be either comprised (contained) or surrounding polygon, if intersection test fails. The

What are the advantages of laser printer  High speed, precision and economy. Quality printers. .Cheap to handle Lasts for longer time.

Film Recorders - graphics hardware It is a graphical output device for transferring digital images to photographic films. The easiest film recorders classically work through