Presentation to describe my 12-page Linear Algebra paper, finalizing the course in Spring 2017.

1. RGB TO CMY CONVERSIONS
ISAAC LEIF

3. INTRODUCTION
• CMY (Cyan-Magenta-Yellow)
• Exists in subtractive color spaces
• Used as paper ink, paint, or any other print media
• Expressed in decimals (0-1.000)
• RGB (Red-Green-Blue)
• Exists in additive color spaces
• Used on televisions, computers, cell phones
• Expressed in 8-bit values (0-255)
• Each respective value in either system has a corresponding
opponent in the other.
• Red is the lack of Cyan
• Green is the lack of Magenta
• Blue is the lack of Yellow
• The inverse is true, as well

4. INTRODUCTION - CONTINUED
𝑇: ℝ3 → ℝ3, 𝑇 C, M, 𝑌 = ( 255 − 255C, 255 − 255M, 255 − 255𝑌
• Due to the nature of the two systems, along with the value expectations in each system, we can write
RGB to CMY as a linear transformation:
𝑇: ℝ3 → ℝ3, 𝑇 𝑅, 𝐺, 𝐵 = ( 1 −
1
255
𝑅, 1 −
1
255
𝐺, 1 −
1
255
𝐵
• This can also be rewritten for CMY to RGB conversions:

5. BASIC EXAMPLE - WHITE
Absolute White from RGB to CMY
1. Enter White as (255, 255, 255) into the RGB
vector
2. Apply the scalar
3. Subtract vectors to get result (0, 0, 0) in CMY
1.
1
1
1
−
1
255
255
255
255
=
𝐶
𝑀
𝑌
2.
1
1
1
−
1
1
1
=
𝐶
𝑀
𝑌
3.
0
0
0
=
𝐶
𝑀
𝑌

6. BASIC EXAMPLE - GREEN
Absolute Green from RGB to CMY
1. Enter Green as (0, 255, 0) into the RGB vector
2. Apply the scalar
3. Subtract vectors to get (1, 0, 1) in CMY
1.
1
1
1
−
1
255
0
255
0
=
𝐶
𝑀
𝑌
2.
1
1
1
−
0
1
0
=
𝐶
𝑀
𝑌
3.
1
0
1
=
𝐶
𝑀
𝑌

7. ACTUAL EXAMPLE – VALSPAR’S COLORS OF THE YEAR
Blueprint (VR028A) from RGB to
CMY
1. Enter Blueprint as (42, 88, 159)
into the RGB vector
2. Apply the scalar
3. Subtract vectors to get (0.835,
0.655, 0.376) in CMY
1.
1
1
1
−
1
255
42
88
159
=
𝐶
𝑀
𝑌
2.
1
1
1
−
.165
.345
.624
=
𝐶
𝑀
𝑌
3.
.835
.655
.376
=
𝐶
𝑀
𝑌

8. QUESTIONS?
ISAAC LEIF – ISAAC@THEISLANDMEDIA.COM