From 08373431ef5e806e679d58162b2773763f019056 Mon Sep 17 00:00:00 2001 From: Sergey Vartanov Date: Mon, 12 Aug 2024 23:59:08 +0400 Subject: [PATCH] Write about symbol ambiguity Describe symbol ambiguity in printed and handwritten forms. --- data/text.moi | 60 +++++++++++++++++++++++++++++++++++++++++++++++++-- 1 file changed, 58 insertions(+), 2 deletions(-) diff --git a/data/text.moi b/data/text.moi index 78cc7c9..fc43e66 100644 --- a/data/text.moi +++ b/data/text.moi @@ -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 @@ -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.