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Write about symbol ambiguity
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Describe symbol ambiguity in printed and handwritten forms.
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enzet committed Aug 12, 2024
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Expand Up @@ -154,7 +154,7 @@ For example, the expression \m {vl hb} encodes the symbol \symbol {vl hb} and
means “vertical (\m {v}) left (\m {l}) line \symbol {vl} combined with
horizontal (\m {h}) bottom (\m {b}) line \symbol {hb}”.

\3 {Element combination} {featural_combination}
\2 {Element combination} {featural_combination}

Symbols system can be constructed either by overlaying the symbol elements or by
modifying them to connect more fluidly. These modifications allow the symbols to
Expand Down Expand Up @@ -216,7 +216,63 @@ Figure \tex_ref {fgr:modifications} shows how modifications work for symbol
\\draw [->] (r3) -- (all) node [auto=left, midway] \{Shift by curved\};
}}

\3 {Relations to the existing symbols} {featural_existing}
\2 {Ambiguity in handwritten form} {featural_ambiguity}

We aim to ensure that the symbols are unambiguous in both printed and
handwritten forms, making the alphabet robust against the imperfections commonly
found in handwriting. Additionally, the design allows for non-monospaced
symbols, indicating that the right and left margins of a symbol are not intended
to carry any significance.

Figure \tex_ref {fgr:ambiguous_1} shows five symbols constructed out of two
vertical lines. Symbol (1) may not be distinguishable from symbol (2) or (3) in
handwritten form, since the only difference is the horizontal distance between
vertical lines, that is hard to make consistent in handwriting. The same is true
for the second and the third row: any of symbols (2) and (3) may not be
distinguishable from any of symbols (4) and (5). Moreover, even in printed form
symbol (2) and (3), as well as (4) and (5) will look the same if we do not
preserve left and right margins around symbols as it done in non-monospaced
fonts.

\figure {fgr:ambiguous_1} {Ambiguous symbols with only vertical elements} {
\tikz {

\\tikzset\{n/.style=\{circle, minimum size=0.8cm\}\}

\tikz_symbol {b=+ p=0,2 z=3 w=0.8 vl vr}
\tikz_symbol {b=+ p=-0.5,1 z=3 w=0.8 vl vc}
\tikz_symbol {b=+ p=0.5,1 z=3 w=0.8 vc vr}
\tikz_symbol {b=+ p=-0.5,0 z=3 w=0.8 vl2}
\tikz_symbol {b=+ p=0.5,0 z=3 w=0.8 vr2}

\\node[n, label=\{left:(1)\}] at (0,2) (n1) \{\};
\\node[n, label=\{left:(2)\}] at (-0.5,1) (n2) \{\};
\\node[n, label=\{right:(3)\}] at (0.5,1) (n3) \{\};
\\node[n, label=\{left:(4)\}] at (-0.5,0) (n4) \{\};
\\node[n, label=\{right:(5)\}] at (0.5,0) (n5) \{\};
}}

The same ambiguity emerges when we mix short and long elements.

\figure {fgr:ambiguous_2} {Ambiguous symbols with short and long elements} {
\tikz {
\tikz_symbol {b=+ p=0,0 z=3 w=0.8 vl hc}
\tikz_symbol {b=+ p=1,0 z=3 w=0.8 vc hc}
\tikz_symbol {b=+ p=2,0 z=3 w=0.8 vl hc}
}}

Symbols become unambiguous if we add full-length horizontal line at any height
of a symbol.

\figure {fgr:unambiguous_1} {Unambiguous} {\tikz {
\tikz_symbol {b=+ p=0,0 z=3 w=0.8 vl2 hc}
\tikz_symbol {b=+ p=1,0 z=3 w=0.8 vl vc hc}
\tikz_symbol {b=+ p=2,0 z=3 w=0.8 vl hc vr}
\tikz_symbol {b=+ p=3,0 z=3 w=0.8 hc vc vr}
\tikz_symbol {b=+ p=4,0 z=3 w=0.8 hc vr2}
}}

\2 {Relations to the existing symbols} {featural_existing}

The use of basic geometric forms, common in many existing writing systems,
facilitates easier learning and reproduction of the symbols.
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