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Motiejus Jakštys 2021-04-03 07:36:24 +03:00
parent 912a95dda4
commit 38b837d870
3 changed files with 28 additions and 3 deletions
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2
IV/mj-msc.tex
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@ -1,7 +1,7 @@
\documentclass[a4paper]{article} \documentclass[a4paper]{article}
\usepackage[T1]{fontenc} \usepackage[T1]{fontenc}
\usepackage[bitstream-charter]{mathdesign} %\usepackage[bitstream-charter]{mathdesign}
\usepackage[english]{babel} \usepackage[english]{babel}
\usepackage[utf8]{inputenc} \usepackage[utf8]{inputenc}
\usepackage{a4wide} \usepackage{a4wide}

18
IV/notes.txt
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@ -65,3 +65,21 @@ To:
But perhaps it doesn't look quite as natural. I will trust the original But perhaps it doesn't look quite as natural. I will trust the original
article to do the right thing here and remove the bend altogether. article to do the right thing here and remove the bend altogether.
The Context of a Bend
---------------------
Similar bends:
> For example, if bend 1 has four unit areas and bend 2 has six unit areas, the
> average size is five units, and the normalized areas of bends 1 and 2 are
> 4/5=0.8 and 6/5=1.2, respectively.
My comment: everything until this sentence is clear. However, "unit areas" is
misleading: there is little reason to normalize areas, but leave the distances
intact (if we'd like to normalize areas, it would make sense to square-root
them).
Removing that removes changes the meaning of the sentence that **euclidean
distance** is normalized (the composite of the bend properties), rather than
a single component.

11
IV/wm.sql
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@ -272,7 +272,8 @@ create type t_bend_attrs as (
bend geometry, bend geometry,
area real, area real,
cmp real, cmp real,
adjsize real adjsize real,
baselinelength real
); );
create function bend_attrs(bends geometry[], dbg boolean default false) returns setof t_bend_attrs as $$ create function bend_attrs(bends geometry[], dbg boolean default false) returns setof t_bend_attrs as $$
declare declare
@ -292,6 +293,7 @@ begin
polygon = null; polygon = null;
else else
select st_makepolygon(st_addpoint(bend, st_startpoint(bend))) into polygon; select st_makepolygon(st_addpoint(bend, st_startpoint(bend))) into polygon;
select st_distance(st_startpoint(bend), st_endpoint(bend)) into res.baselinelength;
-- Compactness Index (cmp) is defined as "the ratio of the area of the -- Compactness Index (cmp) is defined as "the ratio of the area of the
-- polygon over the circle whose circumference length is the same as the -- polygon over the circle whose circumference length is the same as the
-- length of the circumference of the polygon". I assume they meant the -- length of the circumference of the polygon". I assume they meant the
@ -311,7 +313,12 @@ begin
insert into debug_wm (name, way, props) values( insert into debug_wm (name, way, props) values(
'bend_attrs_' || i, 'bend_attrs_' || i,
bend, bend,
json_build_object('area', res.area, 'cmp', res.cmp, 'adjsize', res.adjsize) json_build_object(
'area', res.area,
'cmp', res.cmp,
'adjsize', res.adjsize,
'baselinelength', res.baselinelength
)
); );
end if; end if;
return next res; return next res;