better abstract

This commit is contained in:
Motiejus Jakštys 2021-04-29 21:03:22 +03:00
parent d2e231b2ac
commit dc510ce44a
2 changed files with 12 additions and 12 deletions

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@ -176,7 +176,7 @@ salvis-overlaid-visvalingam-64-chaikin-50k_QUADRANT = 1
REF = $(shell git describe --abbrev=12 --always --dirty)
version.inc.tex: Makefile $(shell git rev-parse --git-dir 2>/dev/null)
TZ=UTC date '+\gdef\VCDescribe{%F ($(REF))}%' > $@
TZ=UTC date '+\gdef\VCDescribe{%F (revision $(REF))}%' > $@
vars.inc.tex: vars.awk wm.sql Makefile
awk -f $< wm.sql

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@ -91,12 +91,11 @@
\label{sec:abstract}
Currently available line simplification algorithms are rooted in mathematics
and geometry, and are not fit bendy natural features like rivers and
coastlines. This paper discusses our implementation of {\WM} algorithm,
with notes that we would have been appreciated before starting the
re-implementation endeavor. This paper accompanies our implementation of
{\WM} algorithm and will be helpful to anyone trying to understand the
original {\WM} paper, or our implementation.
and geometry, and are unfit for natural features like rivers and
coastlines. {\WM} algorithm is derived from cartographic knowledge, and
thus is well suited for natural features. We also documented our
implementation, which allows anyone understand the algorithm and our
implementation in detail.
\end{abstract}
@ -120,18 +119,19 @@ Textwidth in cm: {\printinunitsof{cm}\prntlen{\textwidth}}
When creating small-scale maps, often the detail of the data source is greater
than desired for the map. While many features can be removed or simplified, it
is more tricky with natural features that have many bends, like coastlines,
rivers and forest boundaries.
rivers or forest boundaries.
To create a small-scale map from a large-scale data source, features need to be
generalized: detail should be reduced. While performing the generalization, it
generalized, i.e. detail should be reduced. While performing the generalization, it
is important to retain the "defining" shape of the original feature. Otherwise,
if the generalized feature looks too different than the original, the result
will look unrealistic.
For example, if a river is nearly straight, it should be nearly straight after
generalization, otherwise a too straightened river will look like a canal.
Conversely, if the river is highly wiggly, the number of bends should be
reduced, but not removed altogether.
generalization. A too straightened river will look like a canal, and the other
way around --- too curvy would not reflect the natural shape. Conversely, if
the river is highly wiggly, the number of bends should be reduced, but not
removed altogether.
Generalization problem for other objects can often be solved by other
non-geometric means: