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Discrete Fourier Transform

Source Code: /src/families/_2d/tests/dft/

This is the same as the 1d DFT test, but in 2d. The center of the image is 0hz.

1D DFT Test

Nothing special is done for randomized vs deterministic sequences, or progressive vs non progressive sequences.

Test Results

tests done:

  • DFT

DFT

Blue Noise Sequences

BestCandidate (Progressive, Randomized)

BestCandidate

BestCandidate5 (Progressive, Randomized)

BestCandidate5

BestCandidate10 (Progressive, Randomized)

BestCandidate10

Irrational Number Sampling

R2 (Progressive, Deterministic)

R2

R2Jittered (Progressive, Randomized)

R2Jittered

Low Discrepancy Sequences

NRooks (Not Progressive, Randomized)

NRooks

Sobol (Progressive, Deterministic)

Sobol

Halton_2_3_Zero (Progressive, Deterministic)

Halton_2_3_Zero

Halton_2_3 (Progressive, Deterministic)

Halton_2_3

Halton_5_7 (Progressive, Deterministic)

Halton_5_7

Halton_13_9 (Progressive, Deterministic)

Halton_13_9

Hammersley Low Discrepancy Sequence

Hammersley2NoOffset (Not Progressive, Deterministic)

Hammersley2NoOffset

Hammersley2 (Not Progressive, Deterministic)

Hammersley2

Hammersley3 (Not Progressive, Deterministic)

Hammersley3

Hammersley5 (Not Progressive, Deterministic)

Hammersley5

Hammersley2_1Bit (Not Progressive, Deterministic)

Hammersley2_1Bit

Hammersley2_2Bit (Not Progressive, Deterministic)

Hammersley2_2Bit

Hammersley2_3Bit (Not Progressive, Deterministic)

Hammersley2_3Bit

Hammersley2_4Bit (Not Progressive, Deterministic)

Hammersley2_4Bit

Regular Sampling

Regular (Not Progressive, Deterministic)

Regular

RegularCentered (Not Progressive, Deterministic)

RegularCentered

RegularCenteredOffset (Not Progressive, Deterministic)

RegularCenteredOffset

RegularJittered (Not Progressive, Randomized)

RegularJittered

Uniform Random Number Sampling

UniformRandom (Progressive, Randomized)

UniformRandom