Sprite
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The term sprite is used in two similar ways. It can mean some static image rendered to the game world. It also more broadly refer to objects or characters in the game world, that could possibly have animation or changing appearance.
[edit] Issues with Filtering
For use with a hardware-accelerated 3D library, it is important to understand texture filtering so your sprites look the way you want. People generally want their sprites to look blocky and pixelly or they would rather have them smooth and soft when they make them bigger.
A sprite sheet should separate sprites by 1 transparent pixel if a filtering mode like linear filtering is used. Otherwise you may see edge/flickering artifacts.
[edit] Issues with Slow Velocity
When a pixellated image is moved slowly on the screen at a non-integer number, there can be a noticeable "jumpiness" to the movement due to the actual pixel movement on screen. An example is a game running at 60 frames/second with a mountain in back moving at 1.4 pixels/frame. The mountain follows the movement pattern 1-1-2-1-2 in pixels.

