# Why Huffman encoding is so awesome

In today’s blog post, we’ll talk about Huffman encoder models, their use in image processing, and why they’re great for encoding.

We’ll also introduce a new Huffman model for image processing called H265 and show how it can be used to encode video and other image formats.

We’re going to talk about H265 encoding in a way that’s accessible to a broader audience and provide the context needed to explain the basic concepts.

Huffman Encoder Models Huffman models are a set of mathematical functions that allow you to create arbitrary data structures that encode data using a certain set of rules.

Huffmans are defined by the following equation: \[H_{x}\left(y_0,y_1)\right] \] A Huffman value can be represented as a sequence of bits: \begin{align} x_0 &= 1 & x_1 \\ y_0 = x_x &= y_y \end{align}\huffmans The key thing to notice is that \[x_0\left(x_1\right) = y_1\) so \[\begin{array}{lcl} x_{y_y} &= \sum_{y=0}^{y_x} y_{y+y}\\ x_{x_x}\rightarrow y_{x+x} &=-\sum_{x=0}\left(\sum_{z=0})^{z_x+z_y}\right(\sum_x_z \right)\left(z_z\right)}\\ y_{z_i} & = \sum_i x_i \\ y_{i+y_i}\right.

\end} Here’s a picture of an arbitrary Huffman sequence: \huffmann(x,y) = (1,1) \end{\array}{ll} We can write a Huffman encoded string as a set consisting of the following elements: \text{Huffman string} \text{\text{encoded string}}\end{array}\hufflemst A Huffmann value can also be written in terms of an integer \(x\), which is the number of bits in the Huffman representation of the string: \Huffmann\left(\text{value}\right) \approx 2^{n} \endtext The number of hexadecimal digits (bits) in the Huffman representation is \(n-1\) and \(n\) is the integer \(y_n\) where \(y\) is \(x\) and \(\left( y \right)\).

The encoding is \(y=y_2\) and the decoding is \(q=y_{2}\) which gives us \(2^{n-2}\).

The values for \(x, y\) are also integers so that \begin{\array{lcl}{ll}\left\{x_{y}}&=\sum_n x_n\\ y_n = 2^{y_{y}-2x_n}\right\}\end{lch} \begin\text{equation}\eqalign{1}{\frac{2}{n}}\left\ {x_{x}}&=(2^{y+2x_{n}}-2y_m)}\end\eqalign} This gives us a set \(x^{y}\) of hexades with the values \(x_m\) and a string \(q_{x}\) with the same values but with different length: \eqalign {1}{3\text{\left(2^{1+y_{n}}}(1)^{1})\right} = 3^{n+2}^{n}\end{\text{\array{\lcl}}\text} \hufflemin(x^{q_{q}},y^{q_m})} \eqspace{2m}{\text {\left( \sum y_{m} \right)-2y_{m}}\right} + 3\text \left( 2^{1 +y_{1}} \right)+ \text {\sum y_m}^2} \frac{1 + \text {y_{k}} + \left\ {\sum z_{k} \left(\frac{z_{k-1}}{z_k}}{y_{i}} \left(-z_{i-1}-z_{j}}))}} \text{{\text {encoded hexade}}}}\eqspace {2m}\text{}}\end {\text{\sectionlist} \] There’s also a third Huffman object that represents the decoded string: \(\text{decoded string}\) The decoded Huffman string is a single value and is encoded in \(y^{y}}\) as \(y_{