Optimized Antialiasing Patterns

This page contains the best antialiasing patterns found using the method in our paper A Weighted Error Metric and Optimization Method for Antialiasing Patterns. Note that these patterns are not necessarily optimal with respect to the quality metric introduced in the paper, but they should be quite close.

The text files associated with each pattern contain the positions and weights of the sampling points. Each line in a file defines one sampling point using three floating-point values: x and y coordinates and weight. The x and y coordinates range from zero to the width of the reconstruction kernel, and the weights are scaled so that they sum to one. For patterns with multiple reconstruction kernels, a separate file is given for each kernel.

Pattern Families P(1, 1, n)

	SPP	Family	E2	Sample positions and weights
	2	P(1, 1, 2)	0.693	pattern-P11-2.txt
	3	P(1, 1, 3)	0.479	pattern-P11-3.txt
	4	P(1, 1, 4)	0.359	pattern-P11-4.txt
	5	P(1, 1, 5)	0.301	pattern-P11-5.txt
	6	P(1, 1, 6)	0.273	pattern-P11-6.txt

Pattern Families P(4, 1⁺, n)

	SPP	Family	E2	Sample positions and weights
	2	P(4, 1+, 2)	0.359	pattern-P41P-2.txt
	3	P(4, 1+, 3)	0.301	pattern-P41P-3.txt
	4	P(4, 1+, 4)	0.273	pattern-P41P-4.txt
	5	P(4, 1+, 5)	0.264	pattern-P41P-5.txt
	6	P(4, 1+, 6)	0.254	pattern-P41P-6.txt

Pattern Families P(1, 4, n)

	SPP	Family	E2	Sample positions and weights
	2	P(1, 4, 2)	0.464	pattern-P14-2.txt
	3	P(1, 4, 3)	0.335	pattern-P14-3.txt
	4	P(1, 4, 4)	0.241	pattern-P14-4.txt
	5	P(1, 4, 5)	0.196	pattern-P14-5.txt
	6	P(1, 4, 6)	0.167	pattern-P14-6.txt

Pattern Families P(4, 4, n)

	SPP	Family	E2	Sample positions and weights
	2	P(4, 4, 2)	0.329	pattern-P44-2-a.txt pattern-P44-2-b.txt pattern-P44-2-c.txt pattern-P44-2-d.txt
	3	P(4, 4, 3)	0.233	pattern-P44-3-a.txt pattern-P44-3-b.txt pattern-P44-3-c.txt pattern-P44-3-d.txt
	4	P(4, 4, 4)	0.174	pattern-P44-4-a.txt pattern-P44-4-b.txt pattern-P44-4-c.txt pattern-P44-4-d.txt
	5	P(4, 4, 5)	0.150	pattern-P44-5-a.txt pattern-P44-5-b.txt pattern-P44-5-c.txt pattern-P44-5-d.txt
	6	P(4, 4, 6)	0.133	pattern-P44-6-a.txt pattern-P44-6-b.txt pattern-P44-6-c.txt pattern-P44-6-d.txt

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