基于Matlab實(shí)現(xiàn)有雪花飄落的圣誕樹的繪制
圣誕節(jié)快到了(雖然還有十天),一起來(lái)用MATLAB畫個(gè)簡(jiǎn)單圣誕樹叭~樹的整體構(gòu)造參考大佬Anselm
,同時(shí)一部分裝飾代碼參考了大佬Hanchu Wang
。
代碼幾乎取消了全部的循環(huán),因此至少需要17b之后的版本,僅存的循環(huán)用來(lái)讓樹旋轉(zhuǎn)起來(lái),讓雪花飄落起來(lái),讓樹頂上的星光搖曳起來(lái)~
圣誕樹及禮物繪制
% 生成樹本體曲面 treeFunc=@(h)[h(1),h(h>0&h<=3).*0+1.5,8-(h(h>3)-3).*0.3636]; [X,Y,Z]=cylinder(treeFunc(0:0.2:25)); % 隨機(jī)移動(dòng)樹冠上點(diǎn)的位置 Z=Z.*25; cnt1=1:21;cnt2=16:126; angle=atan(Y(cnt2,cnt1)./X(cnt2,cnt1)); treeDiffusion=rand(111,21)-0.5; X(cnt2,cnt1)=X(cnt2,cnt1)+cos(angle).*treeDiffusion; Y(cnt2,cnt1)=Y(cnt2,cnt1)+sin(angle).*treeDiffusion; Z(cnt2,cnt1)=Z(cnt2,cnt1)+(rand(111,21)-0.5).*0.5; X(:,end)=X(:,1);Y(:,end)=Y(:,1);Z(:,end)=Z(:,1); % 繪制圣誕樹 surfl(X,Y,Z,'light'); hold on % 繪制禮物 drawPresent(2,-4,0,3,3,2); drawPresent(-4,3,0,2,3,1.5); drawPresent(5,3,0,4,3,3); drawPresent(-7,-5,0,5,3,1); drawPresent(-9,-6,0,2,2,2); drawPresent(0,4,0,4,3,3); function drawPresent(dx,dy,dz,scalex,scaley,scalez) presentX=[0.5 0.5 0.5 0.5 0.5; 0 1 1 0 0; 0 1 1 0 0; 0 1 1 0 0; 0.5 0.5 0.5 0.5 0.5]; presentY=[0.5 0.5 0.5 0.5 0.5; 0 0 1 1 0; 0 0 1 1 0; 0 0 1 1 0; 0.5 0.5 0.5 0.5 0.5]; presentZ=[0 0 0 0 0;0 0 0 0 0; 0.5 0.5 0.5 0.5 0.5; 1 1 1 1 1; 1 1 1 1 1]; randColorMap=cat(3,repmat(rand,[5,5])./2+.5,repmat(rand,[5,5])./2+.5,repmat(rand,[5,5])./2+.5); surf((presentX*scalex+dx),(presentY*scaley+dy), (presentZ*scalez+dz),'CData',randColorMap); shading interp end
基礎(chǔ)修飾
ax=gca;hold on; set(gcf,'Color',[22,32,51]./255); r=(0.0430:(0.2061/50):0.2491)'; g=(0.2969:(0.4012/50):0.6981)'; b=(0.0625:(0.2696/50):0.3321)'; Cmap=[r,g,b];Cmap(1:6,:)=Cmap(1:6,:).*0+[77,63,5]/265; % 繪制標(biāo)題 annotation('textbox',[.45,.86,.1,.1],'String','Merry Christmas','fontsize',23,... 'fontweight','Bold','FontName','Cambria','HorizontalAlignment','center','Color','w','EdgeColor','none') % 當(dāng)前坐標(biāo)區(qū)域修飾 set(ax,'XLim',[-10 10],'YLim',[-10,10],'ZLim',[0,30],'PlotBoxAspectRatio',[1,1,1.2],... 'XColor','none','YColor','none','ZColor','none','Color',[22,32,51]./255,'View',[-37.5,4],... 'Colormap',Cmap,'Position',[0,0,1,.9],'Tag',char([100,105,115,112,40,39,20316,32773,... 58,115,108,97,110,100,97,114,101,114,39,41])); lighting phong;shading interp;eval(ax.Tag)
繪制星星和光暈
% 繪制星星 plot3(0,0,25.6,'p', 'MarkerSize',24,'MarkerFaceColor',[255,223,153]/255,'MarkerEdgeColor','none','LineWidth', 1); starLightHdl=scatter3(0,0,25,6000,'o','MarkerFaceColor','w','MarkerEdgeColor','w','MarkerEdgeAlpha',0,'MarkerFaceAlpha', 0.1);
繪制彩燈
% 繪制圣誕樹上的彩燈 lightFuncX=@(h,r,a,z) (h-z)./h.*r.*cos(a.*z); lightFuncY=@(h,r,a,z) (h-z)./h.*r.*sin(a.*z); h=25;r=8; lightZ1=linspace(4,25-4,200);a1=0.3*pi; lightX1=lightFuncX(h,r*1.4,a1,lightZ1); lightY1=lightFuncY(h,r*1.4,a1,lightZ1); plot3(lightX1,lightY1,lightZ1+.1,'.','LineWidth',2,'Color',[253,249,220]/255,'MarkerSize',4) lightZ1=linspace(4,25-4,45);a1=0.3*pi; lightX1=lightFuncX(h,r*1.2,a1,lightZ1); lightY1=lightFuncY(h,r*1.2,a1,lightZ1); scatter3(lightX1,lightY1,lightZ1+.1,300,'Marker','o','MarkerEdgeColor','none',... 'MarkerFaceColor',[253,249,220]/255,'MarkerFaceAlpha',.08) scatter3(lightX1,lightY1,lightZ1+.1,50,'Marker','o','MarkerEdgeColor','none',... 'MarkerFaceColor',[231,217,129]./255,'MarkerFaceAlpha',.95) lightZ1=linspace(4,25-5,100);a1=-0.15*pi; lightX1=lightFuncX(h,r*1.2,a1,lightZ1); lightY1=lightFuncY(h,r*1.2,a1,lightZ1); plot3(lightX1,lightY1,lightZ1+.1,'.','LineWidth',2,'Color','w','MarkerSize',4) lightZ1=linspace(4,25-6,17);a1=-0.15*pi; lightX1=lightFuncX(h,r*1.2,a1,lightZ1); lightY1=lightFuncY(h,r*1.2,a1,lightZ1); scatter3(lightX1,lightY1,lightZ1+.1,300,'Marker','o','MarkerEdgeColor','none',... 'MarkerFaceColor',[253,249,220]/255,'MarkerFaceAlpha',.08) scatter3(lightX1,lightY1,lightZ1+.1,70,'Marker','o','MarkerEdgeColor','none',... 'MarkerFaceColor','w','MarkerFaceAlpha',.8)
繪制雪花
% 繪制雪花 snowXYZ1=rand(70,3); snowXYZ1(:,1:2)=snowXYZ1(:,1:2).*26-13; snowXYZ1(:,3)=snowXYZ1(:,3).*30; snowXYZ2=rand(90,3); snowXYZ2(:,1:2)=snowXYZ2(:,1:2).*26-13; snowXYZ2(:,3)=snowXYZ2(:,3).*30; snowHdl1=plot3(snowXYZ1(:,1),snowXYZ1(:,2),snowXYZ1(:,3),'*','Color',[1 1 1]); snowHdl2=plot3(snowXYZ2(:,1),snowXYZ2(:,2),snowXYZ2(:,3),'.','Color',[.6,.6,.6]);
動(dòng)態(tài)變化實(shí)現(xiàn)
% 旋轉(zhuǎn)圖像、雪花飄落 for i=1:1e8 starLightHdl.SizeData=6000+sin(i/5).*1000; snowXYZ1(:,3)=snowXYZ1(:,3)-.1;snowXYZ2(:,3)=snowXYZ2(:,3)-.01; snowXYZ1(snowXYZ1(:,3)<0,3)=30;snowXYZ2(snowXYZ2(:,3)<0,3)=30; snowHdl1.XData=snowXYZ1(:,1);snowHdl1.YData=snowXYZ1(:,2);snowHdl1.ZData=snowXYZ1(:,3); snowHdl2.XData=snowXYZ2(:,1);snowHdl2.YData=snowXYZ2(:,2);snowHdl2.ZData=snowXYZ2(:,3); view([i,4]); drawnow;pause(.05) end
完整代碼
function XmasTree2022 % @author:slandarer % 生成樹本體曲面 treeFunc=@(h)[h(1),h(h>0&h<=3).*0+1.5,8-(h(h>3)-3).*0.3636]; [X,Y,Z]=cylinder(treeFunc(0:0.2:25)); % 隨機(jī)移動(dòng)樹冠上點(diǎn)的位置 Z=Z.*25; cnt1=1:21;cnt2=16:126; angle=atan(Y(cnt2,cnt1)./X(cnt2,cnt1)); treeDiffusion=rand(111,21)-0.5; X(cnt2,cnt1)=X(cnt2,cnt1)+cos(angle).*treeDiffusion; Y(cnt2,cnt1)=Y(cnt2,cnt1)+sin(angle).*treeDiffusion; Z(cnt2,cnt1)=Z(cnt2,cnt1)+(rand(111,21)-0.5).*0.5; X(:,end)=X(:,1);Y(:,end)=Y(:,1);Z(:,end)=Z(:,1); % 繪制圣誕樹 ax=gca;hold on; set(gcf,'Color',[22,32,51]./255); surfl(X,Y,Z,'light'); r=(0.0430:(0.2061/50):0.2491)'; g=(0.2969:(0.4012/50):0.6981)'; b=(0.0625:(0.2696/50):0.3321)'; Cmap=[r,g,b];Cmap(1:6,:)=Cmap(1:6,:).*0+[77,63,5]/265; % 繪制標(biāo)題 annotation('textbox',[.45,.86,.1,.1],'String','Merry Christmas','fontsize',23,... 'fontweight','Bold','FontName','Cambria','HorizontalAlignment','center','Color','w','EdgeColor','none') % 當(dāng)前坐標(biāo)區(qū)域修飾 set(ax,'XLim',[-10 10],'YLim',[-10,10],'ZLim',[0,30],'PlotBoxAspectRatio',[1,1,1.2],... 'XColor','none','YColor','none','ZColor','none','Color',[22,32,51]./255,'View',[-37.5,4],... 'Colormap',Cmap,'Position',[0,0,1,.9],'Tag',char([100,105,115,112,40,39,20316,32773,... 58,115,108,97,110,100,97,114,101,114,39,41])); lighting phong;shading interp;eval(ax.Tag) % 繪制星星 plot3(0,0,25.6,'p', 'MarkerSize',24,'MarkerFaceColor',[255,223,153]/255,'MarkerEdgeColor','none','LineWidth', 1); starLightHdl=scatter3(0,0,25,6000,'o','MarkerFaceColor','w','MarkerEdgeColor','w','MarkerEdgeAlpha',0,'MarkerFaceAlpha', 0.1); % 繪制圣誕樹上的彩燈 lightFuncX=@(h,r,a,z) (h-z)./h.*r.*cos(a.*z); lightFuncY=@(h,r,a,z) (h-z)./h.*r.*sin(a.*z); h=25;r=8; lightZ1=linspace(4,25-4,200);a1=0.3*pi; lightX1=lightFuncX(h,r*1.4,a1,lightZ1); lightY1=lightFuncY(h,r*1.4,a1,lightZ1); plot3(lightX1,lightY1,lightZ1+.1,'.','LineWidth',2,'Color',[253,249,220]/255,'MarkerSize',4) lightZ1=linspace(4,25-4,45);a1=0.3*pi; lightX1=lightFuncX(h,r*1.2,a1,lightZ1); lightY1=lightFuncY(h,r*1.2,a1,lightZ1); scatter3(lightX1,lightY1,lightZ1+.1,300,'Marker','o','MarkerEdgeColor','none',... 'MarkerFaceColor',[253,249,220]/255,'MarkerFaceAlpha',.08) scatter3(lightX1,lightY1,lightZ1+.1,50,'Marker','o','MarkerEdgeColor','none',... 'MarkerFaceColor',[231,217,129]./255,'MarkerFaceAlpha',.95) lightZ1=linspace(4,25-5,100);a1=-0.15*pi; lightX1=lightFuncX(h,r*1.2,a1,lightZ1); lightY1=lightFuncY(h,r*1.2,a1,lightZ1); plot3(lightX1,lightY1,lightZ1+.1,'.','LineWidth',2,'Color','w','MarkerSize',4) lightZ1=linspace(4,25-6,17);a1=-0.15*pi; lightX1=lightFuncX(h,r*1.2,a1,lightZ1); lightY1=lightFuncY(h,r*1.2,a1,lightZ1); scatter3(lightX1,lightY1,lightZ1+.1,300,'Marker','o','MarkerEdgeColor','none',... 'MarkerFaceColor',[253,249,220]/255,'MarkerFaceAlpha',.08) scatter3(lightX1,lightY1,lightZ1+.1,70,'Marker','o','MarkerEdgeColor','none',... 'MarkerFaceColor','w','MarkerFaceAlpha',.8) % 繪制禮物 drawPresent(2,-4,0,3,3,2); drawPresent(-4,3,0,2,3,1.5); drawPresent(5,3,0,4,3,3); drawPresent(-7,-5,0,5,3,1); drawPresent(-9,-6,0,2,2,2); drawPresent(0,4,0,4,3,3); function drawPresent(dx,dy,dz,scalex,scaley,scalez) presentX=[0.5 0.5 0.5 0.5 0.5; 0 1 1 0 0; 0 1 1 0 0; 0 1 1 0 0; 0.5 0.5 0.5 0.5 0.5]; presentY=[0.5 0.5 0.5 0.5 0.5; 0 0 1 1 0; 0 0 1 1 0; 0 0 1 1 0; 0.5 0.5 0.5 0.5 0.5]; presentZ=[0 0 0 0 0;0 0 0 0 0; 0.5 0.5 0.5 0.5 0.5; 1 1 1 1 1; 1 1 1 1 1]; randColorMap=cat(3,repmat(rand,[5,5])./2+.5,repmat(rand,[5,5])./2+.5,repmat(rand,[5,5])./2+.5); surf((presentX*scalex+dx),(presentY*scaley+dy), (presentZ*scalez+dz),'CData',randColorMap); shading interp end % 繪制雪花 snowXYZ1=rand(70,3); snowXYZ1(:,1:2)=snowXYZ1(:,1:2).*26-13; snowXYZ1(:,3)=snowXYZ1(:,3).*30; snowXYZ2=rand(90,3); snowXYZ2(:,1:2)=snowXYZ2(:,1:2).*26-13; snowXYZ2(:,3)=snowXYZ2(:,3).*30; snowHdl1=plot3(snowXYZ1(:,1),snowXYZ1(:,2),snowXYZ1(:,3),'*','Color',[1 1 1]); snowHdl2=plot3(snowXYZ2(:,1),snowXYZ2(:,2),snowXYZ2(:,3),'.','Color',[.6,.6,.6]); % 旋轉(zhuǎn)圖像、雪花飄落 for i=1:1e8 starLightHdl.SizeData=6000+sin(i/5).*1000; snowXYZ1(:,3)=snowXYZ1(:,3)-.1;snowXYZ2(:,3)=snowXYZ2(:,3)-.01; snowXYZ1(snowXYZ1(:,3)<0,3)=30;snowXYZ2(snowXYZ2(:,3)<0,3)=30; snowHdl1.XData=snowXYZ1(:,1);snowHdl1.YData=snowXYZ1(:,2);snowHdl1.ZData=snowXYZ1(:,3); snowHdl2.XData=snowXYZ2(:,1);snowHdl2.YData=snowXYZ2(:,2);snowHdl2.ZData=snowXYZ2(:,3); view([i,4]); drawnow;pause(.05) end end
值得一提的是,若是將30行左右
‘Colormap’,Cmap
刪掉則效果如下:
若是將將Cmap
改為其他顏色,例如pink
‘Colormap’,pink
則效果如下(pink,bone,copper,cool)
以上就是基于Matlab實(shí)現(xiàn)有雪花飄落的圣誕樹的繪制的詳細(xì)內(nèi)容,更多關(guān)于Matlab圣誕樹的資料請(qǐng)關(guān)注腳本之家其它相關(guān)文章!
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