Concept of DimensionsBelow is an example to understand the concept of dimension. Suppose, your friend lives on the moon and he wants to gift you some books. He asks you your address, but the courier company of the moon does not understand the alphabets they only understand numerical coordinates. So you can give him your position on earth using the concept of dimensions. Dimension is used to define the number of points to point a position of a particular object. So, you will send three pairs of coordinates to your friend on the moon, 1st is longitude, 2nd is latitude and 3rd is the altitude. These three coordinates are used to define your position on earth. Longitude and latitude are used to define your location and altitudes are used to define your height above the sea level. The above concept is in reference to digital image processing. So, we are going to deal with this concept of dimension with an image. Dimensions of imageImage dimensions have the length and width of a digital image. It does not have depth. An image is measured in pixels. An image is only of 2dimensional that is why an image is defined as a 2dimensional signal. Many graphics programmers view and work image in inches or centimeters. Depending on the plane, size of the image can be changed. How does television work?As we have studied above, an image has only 2dimension. If we want to convert an image to 3dimension, we will need one more dimension for the conversion. Let time be the 3rd dimension so, 2dimensional images can move on 3rd dimension time. The same concept is used on television. For example, if we a playing a video, then it is nothing but 2dimensional pictures moving over the time dimension. As 2dimensional objects are moving on 3rd dimension object, then we can say it is a three dimensional. Different dimensions of signals1Dimension SignalA noisy voice signal is an example of 1 dimension signal. In maths, it can be represented as: As it is a 1dimension signal that is why one variable is used. A question arises here that as it is a onedimensional signal then why it has two axes? Even, it is a onedimensional signal but drawn on twodimensional space. Or we can say that to represent 1dimensional signal we have used 2dimensional space. 2Dimension SignalAny object which has length and height comes under 2dimension signal. It has two independent variables. In maths, it can be represented as: For example, below picture is a 2dimensional signal of coordinates X and Y. At each point, an intensity value is given and mapped on the computer screen known as 2dimensional images. 3Dimension SignalAny object which has length and height and depth comes under 3dimension signal. It has three independent variables: In math, it can be represented as: Our earth is a 3dimensional world. A cube is also an example of a 3dimensional signal 4Dimension SignalAny object which has length, height, depth and time comes under 4dimension signal. It has four independent variables. In math, it can be represented as: In reality, animated movies are 4D in which 3 dimensions are used and the 4th dimension is time. In animated movies, each character is 3D and moves with respect to the time.
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