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m-δ Decomposition Related Formulae Shaunak De 1 Stokes Parameters 1. s 0 = |CH| 2 + |CV | 2 = C 11 + C 22 2. s 1 = |CH| 2 -|CV | 2 = C 11 - C 22 3. s 2 =2 × <{CH × CV * } =2 × <{C 12 } 4. s 2 =2 × ={CH × CV * } =2 × ={C 12 } 2 m-δ 1. m = S1+S2+S3 S0 2. δ = arctan (S 3 /S 2 ) 3. CPR = S0-S3 S0-S3 = SC OC 3 RGB image 1. R = q S 0 m (1-sin δ) 2 2. G = p S 0 (1 - m) 3. B = q S 0 m (1+sin δ) 2 1

M-delta Decomposition Formulas

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A list of important formulas for M-Delta decomposition

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Page 1: M-delta Decomposition Formulas

m-δ Decomposition Related Formulae

Shaunak De

1 Stokes Parameters

1. s0 = |CH|2 + |CV |2 = C11 + C22

2. s1 = |CH|2 − |CV |2 = C11 − C22

3. s2 = 2×<{CH × CV ∗} = 2×<{C12}

4. s2 = 2×={CH × CV ∗} = 2×={C12}

2 m-δ

1. m =√S1+S2+S3

S0

2. δ = arctan (S3/S2)

3. CPR = S0−S3

S0−S3= SC

OC

3 RGB image

1. R =√S0m

(1−sin δ)2

2. G =√S0(1−m)

3. B =√S0m

(1+sin δ)2

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