Compression Of 1 2 Math

Image compression the mathematics of jpeg 2000 jin li microsoft research communication collaboration and signal processing one microsoft way bld.

Compression of 1 2 math.

The graph below shows a function multiplied by constant factors 2 and 0 5 and the resulting vertical stretch and compression. 1 assistant professor of mathematics department of mathematics hostos community college the city university of new york usa. Vertical compression means making the y value smaller for any given. 2 undergraduate student hostos community college.

This squashes the graph down by a factor of 2. 1 2 corresponds to a a compression of y 1 2 in the x direction by a factor of 3 followed by a shift in the. An experiment of mean compression of various sizes and their relative compression ratio of nasa images. The gas volume in the cylinder with the piston at its highest point top dead center of the stroke tdc and the gas volume with the piston at its lowest point bottom dead center of the stroke bdc.

Let y f x be a function. How to do horizontal expansions or compressions in a function. In math terms you can stretch or. If the constant is between 0 and 1 we get a vertical compression.

F x 1 2 x 2. Tanvir prince 1 william ashong katai 2 ildefonso salva 3 karina m. We can graph this math transformation by using tables to transform the original elementary function. If the constant is greater than 1 we get a vertical stretch.

In the above function if we want to do horizontal expansion or compression by a factor of k at every where of the function x co ordinate has to be multiplied by the factor k. The compression ratio is the ratio between two elements. 113 3161 redmond wa 98052 email. Different types of math transformation there are different types of math transformation one of which is the type y f bx.

You could change the function to multiply x by 1 2 before doing any other operations. Plot your own points to convince yourself of this. This compression ratio calculator can be used to work out the compression ratio of your engine. Mathematics behind image compression.

The function y 2 e01. Or another way to look at it every y value in this curve is 1 2 of the value in the starting curve.