Solving Color Problems using Vector Space Arithmetic
Instructor: Michael Vrhel, Artifex Software
Level: Intermediate
Duration: 2 Hours
Course Time: 
     New York: 20 October 2021, 18:30 - 20:45
     Paris: 21 October 2021, 00:30 - 02:45
     Tokyo: 21 October 2021, 07:30 - 09:45

Course Prerequisites: Attendees should be familiar with basic color science. For example, CIEXYZ and CIELAB values, the visible spectrum and spectral sensitivities. They should also be comfortable with algebraic manipulations and able to follow small MATLAB coding examples.
Benefits:
Attendees will be able to:

• Understand the matrix-vector equations often seen at color conferences and in color journals.
• Express their own color systems in terms of vectors and matrices—and know when it is appropriate to do so.
• Determine closed-form solutions to optimization problems in color.
• Implement their models in MATLAB and apply numerical optimization methods.

Course Description
Matrices and vectors have been used for decades to model color technologies. Besides allowing the modeling of complex systems, this notation is readily implemented in vector-based languages like MATLAB. For some, this material can be overwhelming. The goal in the course is to make this approach to color science problems accessible to everyone. After a review the basics of matrices and vectors including the conditions under which this notation can be used for color systems, models in the area of color recording, reproduction, measurement, and transformation are covered. A review of optimization methods is made, including the determination of closed form solutions. For those problems that cannot be solved directly, numerical methods are required. In these cases, MATLAB to model example systems is used. With the models in place, the coursedemonstrates the use of MATLAB's optimization methods to determine a solution.

Intended Audience: engineers, students, and those wishing to have a firmer understanding of the mathematical modeling and optimization of color systems.

Michael Vrhel has more than 30 years' experience in color imaging. He received a PhD in electrical engineering from North Carolina State University. During his PhD studies, he was a Kodak Fellow. He was a research associate with the National Research Council and has held positions at Color Savvy Systems, Conexant Systems, TAK Imaging, Pagemark Technology, and Artifex Software. He is the co-author of The Fundamental of Digital Imaging (Cambridge University Press).

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