Learn English – Word meaning “to make valid”

Normalize may be what you want.  The Free Dictionary defines it as:

1. To make normal, especially to cause to conform to a standard or norm …
2. To make (a text or language) regular and consistent …

(excerpted; emphasis added).  This can be used to refer to preparing things for comparison.  For example, if I know the weight of one thing in pounds and another thing in kilograms, I will convert one of them to the units of the other.

Homogenize means “to make uniform or similar”, or

1. To make homogeneous.
   • To make uniform in consistency, …

Align is good, too, but I see somebody else posted that already.

In computer science and graphics, there is rendering. You are basically converting raw data into an image but there are other technical details of course.

To convert (graphics) from a file into visual form, as on a video display.

^{http://www.thefreedictionary.com/render}

A more detailed explanation:

Rendering is the process of generating an image from a 2D or 3D model (or models in what collectively could be called a scene file), by means of computer programs. Also, the results of such a model can be called a rendering. A scene file contains objects in a strictly defined language or data structure; it would contain geometry, viewpoint, texture, lighting, and shading information as a description of the virtual scene.

^{http://en.wikipedia.org/wiki/Rendering_%28computer_graphics%29}

Though visualization is the general concept and rendering can be a part of it.

Using the computer to convert data into picture form. The most basic visualization is that of turning transaction data and summary information into charts and graphs. Visualization is used in computer-aided design (CAD) to render screen images into 3D models that can be viewed from all angles and which can also be animated.

^{http://www.computerlanguage.com/}

More specifically, there is data visualization:

Data visualization or data visualisation is viewed by many disciplines as a modern equivalent of visual communication. It involves the creation and study of the visual representation of data, meaning "information that has been abstracted in some schematic form, including attributes or variables for the units of information".

^{http://en.wikipedia.org/wiki/Data_visualization}

I can also say that the verb visualize is not uncommon in technical contexts for the sense that you mention.