CS 455 - Techniques for Eliminating Aliasing in Computer Graphics

CS 455 – Computer Graphics Antialiasing

Aliasing ,[object Object],[object Object],Sampling Interval Actual (high-frequency) signal Sampled (aliased) signal

[object Object],[object Object],[object Object],Examples of Aliasing

Aliasing and Line Drawing ,[object Object],Sampling Interval Sampling Interval ,[object Object]

Antialiasing Lines ,[object Object],[object Object],[object Object],[object Object]

Antialiasing Lines ,[object Object],[object Object],[object Object]

Solution 1: Unweighted Area Sampling ,[object Object],[object Object],[object Object],[object Object],Line One Pixel

Solution 2: Weighted Area Sampling ,[object Object],[object Object],[object Object],[object Object],Line One Pixel

Solution 3: Gupta-Sproull algorithm ,[object Object],x p NE m E x p+1 Line to draw v y p y p+1  D

Gupta-Sproull algorithm (cont) ,[object Object],[object Object],a How does triangle abc compare to triangle ade? D c = e, and a = a, so b must equal d b c d e dx dy v r r

Gupta-Sproull algorithm (cont) ,[object Object],[object Object],a So: D b c d e dx dy v r r And: Then:

Gupta-Sproull algorithm (cont) ,[object Object],[object Object],[object Object],[object Object],x p NE m E x p+1 Line to draw v y p y p +1  D

Gupta-Sproull algorithm (cont) ,[object Object],[object Object],[object Object],[object Object],x p NE m E x p+1 Line to draw v y p y p+1  D

Gupta-Sproull algorithm (cont) ,[object Object],[object Object],x p NE m E x p+1 Line to draw v y p y p +1  D

Gupta-Sproull algorithm (cont) ,[object Object],[object Object],[object Object]

Gupta-Sproull algorithm (cont) ,[object Object]

Gupta-Sproull algorithm (cont) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Solution 4: Super-sampling ,[object Object],[object Object],[object Object],[object Object],No antialiasing Antialiasing (2  2 super-sampling)

Solution 5: Sum of Foreground and Background ,[object Object],[object Object],[object Object],[object Object],[object Object]

Polygon Antialiasing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

CS 455 - Techniques for Eliminating Aliasing in Computer Graphics

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CS 455 - Techniques for Eliminating Aliasing in Computer Graphics