291 |
smooth parametric curve $C = (x(t), y(t))$. The thickness of the roughness of the |
smooth parametric curve $C = (x(t), y(t))$. The thickness of the roughness of the |
292 |
edge is assumed to be small compared |
edge is assumed to be small compared |
293 |
to the curvature of $C$. |
to the curvature of $C$. |
294 |
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% XXX |
295 |
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296 |
Locally, we can approximate the curve by a point and a normal vector. |
Locally, we can approximate the curve by a point and a normal vector. |
297 |
The resulting shape of the edge should be continuous w.r.t.~both the local |
The resulting shape of the edge should be continuous w.r.t.~both the local |
554 |
on straight edges) dicing the tearing line does not prevent discontinuities: |
on straight edges) dicing the tearing line does not prevent discontinuities: |
555 |
straight lines have no perspective, but all circle sections have |
straight lines have no perspective, but all circle sections have |
556 |
perspective distortion relative to the ratio of outer and inner radii. |
perspective distortion relative to the ratio of outer and inner radii. |
557 |
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558 |
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Jigsaw puzzle problems. |
559 |
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560 |
\section{Example applications} |
\section{Example applications} |
561 |
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