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09/04/2019

How Math Is Used In Animation? Revise my essay!

QUESTION
How Math Is Used In Animation? Revise my essay!
Revise my essay on math is used in animation. I need it to make complete sense. I know what I want to write but I don’t know how to say it. Just look below.

Animators do not use math, but the programs they use cannot work without math. They would need math for the program they used to create their animation. Math can be used in animation for calculating movement and frame rates. Frame rates are how many frames per second animators may need to make the character move fluidly and within the time particular by the script. In computer animation, math is needed for viewpoints, frame rates, aspect ratios, character movement, artificial lighting, and color balance. Computer animator uses different math techniques to produce their animations.

Frequently mathematics is used to manipulate complex three dimensional objects like polygons, applying textures, lighting and other effects to the polygons and finally rendering the complete image. Graphical user interfaces are used to create the animation and arrange its choreography. Another technique called constructive solid geometry defines objects by conducting process on regular shapes, and has the advantage that animations may be accurately produced at any resolution.

Rendering a simple image of a room with flat walls and a pyramid in the middle of the room uses mathematical problems like geometry and ratios. Each wall, the floor and the ceiling is a simple rectangle. Each corner of the rectangles is defined by three values referred to as X, Y and Z. X is how far left and right the point is. Y is how far up and down the point is, and Z is how far in and out of the screen point is. The wall nearest to the animator would be defined by four points in the orders of x, y, and z. The pyramid is made up of five polygons: the rectangular base, and four triangular sides. To draw this image the computer uses math to calculate how to project this image, defined by three dimensional data, onto a two dimensional computer screen.

First animators must also define where the view point is from what vantage point the scene will be drawn. The view point is inside the room a bit above the floor, directly in front of the pyramid. First the computer will calculate which polygons are visible. The near wall will not be displayed at all, as it is behind the view point. The far side of the pyramid will also not be drawn as it is hidden by the front of the pyramid. Next each point is perspective projected onto the screen. The portions of the walls farthest from the view point will appear to be shorter than the nearer areas due to perspective.

To make the walls look like wood, a wood pattern, called a texture, will be drawn on them. To accomplish this, a technique called texture mapping is often used. A small drawing of wood that can be repeatedly drawn in a matching tiled pattern like real wallpaper is stretched and drawn onto the walls’ final shape. Using math to figure out how wide and how tall the wall is is a way to find how many times the patterns is needed to be repeated. If the animator have a solid object in the middle of the room like the pyramid it is going to be a solid color so its surfaces can just be rendered as one color.

If there is light in the room animators uses lighter colors in that area that goes by values, where objects blocks the light they darken the colors also using values. After all this is done the animator render the complete scene on the computer screen. If the numbers describing the position of the pyramid were changed and this process repeated, the pyramid would appear to move. Basically animators can do without equations, but it is quite mathematical in nature. The programs animators use are big calculators for their mathematical problems. Without math everything on the program would not be quite organized, and just would make everything more complicating to work with I believe.

ANSWER
This should help you out some. I only list modified or questionable statements. You might have to compare word-by-word to your essay to see what I changed. If I had time, I’d rethink the flow of this whole essay. But I hope what I’ve done helps.

A frame rate is how many frames an animator may need to render per second to make a character appear to move fluidly and within the time particular by the script. (What is a “time particular”? I don’t understand what you’re trying to say enough to refine it.)

Computer animators use different math techniques to produce their animations.

three-dimensional (add hyphen)

Mathematics is used in manipulating complex three-dimensional objects like polygons, applying textures, lighting and other effects to them, and in rendering them into images.

by conducting process on regular shapes?? (Does not compute.)

accurately produced (rendered?) at any resolution

mathematical problems (concepts?) like geometry and ratios

Each wall, the floor and the ceiling is a simple rectangle. (“are simple rectangles” maybe?)

X represents the horizontal position of the point, Y represents the vertical position of the point, and Z represents the depth of the point.

The pyramid is made up of five polygons: the rectangular base, and four triangular sides. (I don’t think that’s a pyramid. Pyramids generally have four sides.)

To draw this image the computer uses math to calculate how to project this three-dimensional data onto a two-dimensional computer screen.

(Why do you start this line with the word “First”? Is this the beginning of some process? Does not seem to follow from the last sentence. Then you go on to say “first” again. How many firsts can there be? This whole section needs work.)
First animators must also define where the view point is from what vantage point the scene will be drawn. The view point is inside the room a bit above the floor, directly in front of the pyramid. First the computer will calculate which polygons are visible. The near wall will not be displayed at all, as it is behind the view point. The far side of the pyramid will also not be drawn as it is hidden by the front of the pyramid. Next each point is perspective projected onto the screen. The portions of the walls farthest from the view point will appear to be shorter than the nearer areas due to perspective.

A small drawing of wood that can be repeatedly drawn in a matching tiled pattern like real wallpaper is stretched and drawn onto the walls’ final shape. (If it’s tiled, it’s probably not stretched. It could be though. But probably not.)

Math is used to calculate how many times the pattern needs to be repeated based on the height and width of the wall.

If the animator has a solid object in the middle of the room like the pyramid it is going to be a solid color so its surfaces can just be rendered as one color. (Why is it going to be a solid color? Why can’t it be texture mapped too?)

If there is light in the room animators use lighter colors (represented by values) in the areas where the light is more intense. Where objects block light, the colors are shaded darker.

After all this is done the animator renders the complete scene onto the computer screen. If the values describing the (x,y,z) position of the pyramid were changed and this process was repeated, the pyramid would appear to move. Animators are not generally required to deal with equations, but the animation software itself is mathematically intensive. Animation software would probably be impossible without mathematics.