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Wrapping (graphics)

Wrapping (graphics)

Overview
In computer graphics, wrapping is the process of limiting a position to an area. A good example of wrapping is wallpaper
Wallpaper
Wallpaper is a kind of material used to cover and decorate the interior walls of homes, offices, and other buildings; it is one aspect of interior decoration. They are usually sold in rolls and are put onto a wall using wallpaper paste...

, a single pattern repeated indefinitely over a wall
Wall
A wall is a usually solid structure that defines and sometimes protects an area. Most commonly, a wall delineates a building and supports its superstructure, separates space in buildings into rooms, or protects or delineates a space in the open air...

. Wrapping is used in 3D computer graphics
3D computer graphics
3D computer graphics are graphics that use a three-dimensional representation of geometric data that is stored in the computer for the purposes of performing calculations and rendering 2D images...

 to repeat a texture
Texture mapping
Texture mapping is a method for adding detail, surface texture, or colour to a computer-generated graphic or 3D model. Its application to 3D graphics was pioneered by Dr Edwin Catmull in his Ph.D. thesis of 1974.-Texture mapping:...

 over a polygon
Polygon
In geometry a polygon is traditionally a plane figure that is bounded by a closed path or circuit, composed of a finite sequence of straight line segments . These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices or corners...

, eliminating the need for large textures or multiple polygons.
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Encyclopedia
In computer graphics, wrapping is the process of limiting a position to an area. A good example of wrapping is wallpaper
Wallpaper
Wallpaper is a kind of material used to cover and decorate the interior walls of homes, offices, and other buildings; it is one aspect of interior decoration. They are usually sold in rolls and are put onto a wall using wallpaper paste...

, a single pattern repeated indefinitely over a wall
Wall
A wall is a usually solid structure that defines and sometimes protects an area. Most commonly, a wall delineates a building and supports its superstructure, separates space in buildings into rooms, or protects or delineates a space in the open air...

. Wrapping is used in 3D computer graphics
3D computer graphics
3D computer graphics are graphics that use a three-dimensional representation of geometric data that is stored in the computer for the purposes of performing calculations and rendering 2D images...

 to repeat a texture
Texture mapping
Texture mapping is a method for adding detail, surface texture, or colour to a computer-generated graphic or 3D model. Its application to 3D graphics was pioneered by Dr Edwin Catmull in his Ph.D. thesis of 1974.-Texture mapping:...

 over a polygon
Polygon
In geometry a polygon is traditionally a plane figure that is bounded by a closed path or circuit, composed of a finite sequence of straight line segments . These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices or corners...

, eliminating the need for large textures or multiple polygons.

To wrap a position x to an area of width w, calculate the value .

Implementation


For computational purposes the wrapped value x of x can be expressed as
where is the highest value in the range, and is the lowest value in the range.

Pseudocode
Pseudocode
Pseudocode is a compact and informal high-level description of a computer programming algorithm that uses the structural conventions of a programming language, but is intended for human reading rather than machine reading...

 for wrapping of a value to a range other than 0-1 is
function wrap(X, Min, Max: Real): Real;
X := X - Int((X - Min) / (Max - Min)) * (Max - Min);
if X < 0 then //This corrects the problem caused by using Int instead of Floor
X := X + Max - Min;
return X;

Pseudocode
Pseudocode
Pseudocode is a compact and informal high-level description of a computer programming algorithm that uses the structural conventions of a programming language, but is intended for human reading rather than machine reading...

for wrapping of a value to a range of 0-1 is
function wrap(X: Real): Real;
X := X - Int(X);
if X < 0 then
X := X + 1;
return X;