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+\chapter{Streamtubes}

+

+The last of the non-optional assignments. This is, just as the height plots, a 3-dimensional assignment although streamlines and streamtubes can be used in 2D

+grids. \\

+

+\section{Description}

+

+Image you let a drop of ink go with the fluid flow for a while. What you will get is a line that shows the path a ink particle has taken. Such a path is called a

+streamline. A streamtube is a 3D variant of a streamline. A streamtube consists of a number of consecutive tubes that together form a thick 3-dimensional flexible

+tube. \\

+

+Each streamtube has a begin and end. The begin point of a streamtube is called a seedpoint. From a seed point the tube will begin flowing with the fluid. It end

+after a number of frames, seconds or parts. This can be variable. \\

+

+The streamtubes we had to implement were'nt actually flowing trough the fluid but through a frame history. Each frame is stored in a history array and the

+streamtube take a path trough history. The 2D grid became a 3D 50x50x50 grid with this new feature. \\

+

+\section{Implementation}

+

+First we implemented the placement of the streamtubes. We chose to let the user be able to point the exact position of each seedpoint by mouse. A seedpoint is

+rendered as a small sphere. \\

+

+We also created a history array that stores up to 50 frames. \\

+

+\section{Difficulties}

+

+We did'nt have enough time to actually trace a streamtube. \\