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.

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. 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.

Let y f x be a function. Or another way to look at it every y value in this curve is 1 2 of the value in the starting curve. Different types of math transformation there are different types of math transformation one of which is the type y f bx. 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.

This squashes the graph down by a factor of 2. F x 1 2 x 2. This type of math transformation is a horizontal compression when b is greater than one. The graph below shows a function multiplied by constant factors 2 and 0 5 and the resulting vertical stretch and compression.

The function y 2 e01. 113 3161 redmond wa 98052 email. How to do horizontal expansions or compressions in a function. Vertical compression means making the y value smaller for any given.

You could change the function to multiply x by 1 2 before doing any other operations. 2 undergraduate student hostos community college. Tanvir prince 1 william ashong katai 2 ildefonso salva 3 karina m. Poisson s ratio is a measure of the poisson effect that describes the expansion or contraction of a material in directions perpendicular to the direction of loading the value of poisson s ratio is the negative of the ratio of transverse strain to axial strain for small values of these changes is the amount of transversal expansion divided by the amount of axial compression.

An experiment of mean compression of various sizes and their relative compression ratio of nasa images. If the constant is between 0 and 1 we get a vertical compression. In math terms you can stretch or. If the constant is greater than 1 we get a vertical stretch.

1 assistant professor of mathematics department of mathematics hostos community college the city university of new york usa. Mathematics behind image compression.