minor corrections
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arbeit/ma.md
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arbeit/ma.md
@ -10,7 +10,7 @@ chapter.
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Unless otherwise noted the following holds:
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Unless otherwise noted the following holds:
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- lowercase letters $x,y,z$
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- lowercase letters $x,y,z$
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refer to real variables and represent a point in 3D--Space.
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refer to real variables and represent the coordinates of a point in 3D--Space.
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- lowercase letters $u,v,w$
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- lowercase letters $u,v,w$
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refer to real variables between $0$ and $1$ used as coefficients in a 3D
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refer to real variables between $0$ and $1$ used as coefficients in a 3D
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B--Spline grid.
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B--Spline grid.
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@ -26,14 +26,14 @@ Unless otherwise noted the following holds:
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\improvement[inline]{Mehr Bilder}
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\improvement[inline]{Mehr Bilder}
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Many modern industrial design processes require advanced optimization methods
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Many modern industrial design processes require advanced optimization methods
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due to the increased complexity. These designs have to adhere to more and more
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due to the increased complexity resulting from more and more degrees of freedom
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degrees of freedom as methods refine and/or other methods are used. Examples for
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as methods refine and/or other methods are used. Examples for this are physical
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this are physical domains like aerodynamic (i.e. drag), fluid dynamics (i.e.
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domains like aerodynamic (i.e. drag), fluid dynamics (i.e. throughput of liquid)
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throughput of liquid) --- where the complexity increases with the temporal and
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--- where the complexity increases with the temporal and spatial resolution of
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spatial resolution of the simulation --- or known hard algorithmic problems in
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the simulation --- or known hard algorithmic problems in informatics (i.e.
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informatics (i.e. layouting of circuit boards or stacking of 3D--objects).
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layouting of circuit boards or stacking of 3D--objects). Moreover these are
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Moreover these are typically not static environments but requirements shift over
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typically not static environments but requirements shift over time or from case
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time or from case to case.
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to case.
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Evolutionary algorithms cope especially well with these problem domains while
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Evolutionary algorithms cope especially well with these problem domains while
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addressing all the issues at hand\cite{minai2006complex}. One of the main
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addressing all the issues at hand\cite{minai2006complex}. One of the main
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@ -79,7 +79,8 @@ As we transfer the results of Richter et al.\cite{anrichterEvol} from using
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used, namely *regularity*, *variability*, and *improvement potential*. We
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used, namely *regularity*, *variability*, and *improvement potential*. We
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introduce these term in detail in Chapter \ref{sec:intro:rvi}. In the original
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introduce these term in detail in Chapter \ref{sec:intro:rvi}. In the original
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publication the author could show a correlation between these
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publication the author could show a correlation between these
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evolvability--criteria with the quality and potential of such optimization.
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evolvability--criteria with the quality and convergence speed of such
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optimization.
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We will replicate the same setup on the same objects but use \acf{FFD} instead of
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We will replicate the same setup on the same objects but use \acf{FFD} instead of
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\acf{RBF} to create a local deformation near the control points and evaluate if
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\acf{RBF} to create a local deformation near the control points and evaluate if
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