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Mathematical Optimization in Graphics and Vision - Luiz Velho - Impa

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1.1. WHAT IS COMPUTER GRAPHICS? 3<br />

Figure 1.2: Computer graphics: related areas.<br />

ages), which forces a strong trend of <strong>in</strong>tegration. Moreover, the solution of certa<strong>in</strong><br />

problems require the use of methods from all these areas under a unified framework.<br />

As an example, we can mention the case of a GIS (Geographical Information<br />

System) application, where a satelite image is used to obta<strong>in</strong> the elevation data of<br />

a terra<strong>in</strong> model <strong>and</strong> a three-dimensional reconstruction is visualized with texture<br />

mapp<strong>in</strong>g from different view po<strong>in</strong>ts.<br />

Comb<strong>in</strong>ed techniques from these four related sub-areas comprise a great potential<br />

to be exploited to obta<strong>in</strong> new results <strong>and</strong> applications of computer graphics.<br />

This br<strong>in</strong>gs to computer graphics a large spectrum of models <strong>and</strong> techniques provid<strong>in</strong>g<br />

a path to obta<strong>in</strong> new achievements: the comb<strong>in</strong>ed result is more than the<br />

sum of parts.<br />

The trend is so vigorous that new research areas have been created. This was<br />

the case of image-based model<strong>in</strong>g <strong>and</strong> render<strong>in</strong>g, a recent area that comb<strong>in</strong>es

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