2020年APMCM（亚太地区大学生数学建模竞赛）A题
2020年APMCM（亚太地区大学生数学建模竞赛）A题
题目（英文）
题目（中文）
Matlab中的代码实现：
clear;
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data4=[
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data{
1}=data3(1:157,:);
data{
2}=data3(158:237,:);
data{
3}=data3(238:321,:);
data{
4}=data3(322:375,:);
data{
5}=data3(376:425,:);
data{
6}=data3(426:478,:);
data{
7}=data3(479:520,:);
data{
8}=data3(521:767,:);
data{
9}=data3(768:783,:);
data{
10}=data3(784:902,:);
data{
11}=data3(903:989,:);
data{
12}=data3(990:1084,:);
data{
13}=data3(1085:1195,:);
data{
14}=[];
data{
15}=data1(1:35,:);
data{
16}=data1(36:103,:);
data{
17}=data1(104:136,:);
data{
18}=[];
data{
19}=data2(1:54,:);
data{
20}=data2(55:162,:);
data{
21}=data2(163:215,:);
data{
22}=[];
data{
23}=data4(1:34,:);
data{
24}=data4(35:102,:);
data{
25}=data4(103:135,:);
zd=[];
for i=1:25
if mod(i,2)==0
dy=-0.1; %此处dy不要改为1
else
dy=0.1; %此处dy不要改为1
end
if length(data{
i})==0
continue;
end;
by=round(data{
i}(1,2),1);
ey=round(data{
i}(end,2),1);
x=[];
y=[];
y=by:dy:ey;
x=interp1(data{
i}(:,2),data{
i}(:,1),y,'linear');%Spline %linear
zd=[zd;[x',y']];
end
%还有部分数据为NaN
snan=find(isnan(zd(:,1))==1);
for i=1:length(snan)-1
zd(snan(i),1)=(zd(snan(i)-2,1)+zd(snan(i)+2,1))/2;
end
zd(snan(end),1)=zd(snan(end)-1,1);
zd(1829,1)=zd(1828,1);
zd(1934,1)=zd(1933,1);
zd(1935,1)=zd(1933,1);
zd(2076,1)=zd(2077,1);
%绘图
plot(data1(:,1),data1(:,2),'y-');
hold on
plot(data2(:,1),data2(:,2),'y-');
plot(data3(:,1),data3(:,2),'y-');
plot(data4(:,1),data4(:,2),'y-');
plot(zd(:,1),zd(:,2),'b.');
maxy=max(zd(:,2));
miny=min(zd(:,2));
%以下找水平线与图形出的交点，1,2连线，3,4连线.....
dy=1; %此处dy可为0.1
dty=miny+dy;
while dty<maxy
dty=dty+dy;
lk=find(abs(zd(:,2)-dty)<0.0000001);
lka=sortrows(zd(lk,:),1);
if length(lk)==2
plot([lka(1,1)+dy,lka(2,1)-dy],[lka(1,2),lka(2,2)],'g-');
end
if length(lk)==4
plot([lka(1,1)+dy,lka(2,1)-dy],[lka(1,2),lka(2,2)],'g-');
plot([lka(3,1)+dy,lka(4,1)-dy],[lka(3,2),lka(4,2)],'g-');
end
if length(lk)==6
plot([lka(1,1)+dy,lka(2,1)-dy],[lka(1,2),lka(2,2)],'g-');
plot([lka(3,1)+dy,lka(4,1)-dy],[lka(3,2),lka(4,2)],'g-');
plot([lka(5,1)+dy,lka(6,1)-dy],[lka(5,2),lka(6,2)],'g-');
end
if length(lk)==8
plot([lka(1,1)+dy,lka(2,1)-dy],[lka(1,2),lka(2,2)],'g-');
plot([lka(3,1)+dy,lka(4,1)-dy],[lka(3,2),lka(4,2)],'g-');
plot([lka(5,1)+dy,lka(6,1)-dy],[lka(5,2),lka(6,2)],'g-');
plot([lka(7,1)+dy,lka(8,1)-dy],[lka(7,2),lka(8,2)],'g-');
end
end
运行结果：
