# Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

__Mittagsseminar Talk Information__ | |

**Date and Time**: Tuesday, February 01, 2005, 12:15 pm

**Duration**: This information is not available in the database

**Location**: This information is not available in the database

**Speaker**: Eva Schuberth

## What colors have to do with geometry: the gamut mapping project

The talk is about the problem of gamut mapping, which you are daily
confronted with, probably without knowing it. It arises whenever colors
are displayed or reproduced on some device (your monitor, your printer,
etc.). This problem raises some geometric questions that we address in a
project in collaboration with EMPA (Eidgenössisches
Materialprüfungsamt/Swiss Federal Laboratories of Materials and Testing).
A gamut is the entirety of colors that are contained in an image or that
can be displayed by a device. Different devices usually have different
gamuts, i.e. can display different sets of colors. A monitor for example
usually can display more colors than a printer can print. This is why a
transformation from the monitor's colors to the printer's colors has to
be found.

A color can be seen as a point in a three dimensional color space. Thus
a gamut is just a finite subset of *R*^{3} and a gamut mapping is a
transformation between two subsets of *R*^{3}. All existing gamut mapping
algorithms use a contiuous description of gamuts, i.e they approximate
gamuts with polyhedrons. Doing so one faces the following problems:

1. Surface reconstruction: given a finite subset of *R*^{n}, compute a
polyhedron that captures the geometry of the subset. A crucial
requirement is that the computation is done fast

2. Gamut mapping: Given two polyhedrons in *R*^{n}, find a transformation
between them that fulfils a number of psycho-physical side conditions

In my talk I will point out, how we solved the first problem and what we
plan to do to solve the second one.

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