VB.net实现的三维三叉树动态可视化程序

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功能文档程序名称 3D 二叉树绘制程序概述该程序在 Windows Forms 窗体应用中绘制一个三维二叉树结构，用户可通过滚动条调整视角来观察树的形状。主要功能绘制3D二叉树: 程序生成一个三维二叉树，其中每个节点通过三条线段连接到三个子节点。视角调整: 用户可通过水平 (HScrollBar1) 和垂直 (VScrollBar1) 滚动条动态调整视角。实时更新显示: 滚动条值变化时，程序自动重新绘制3D结构。实现思路树结构生成: 初始线段从根节点出发，使用 Queue 管理待处理线段。通过几何变换计算出每个子分支的坐标并生成新线段。分支长度低于阈值时不再生成子节点。树结构绘制: 通过 draw3d 方法将三维坐标转换为二维平面坐标。角度转换基于水平 (a) 和垂直 (b) 滚动条的值，并使用 Graphics.DrawLine 绘制到图像上。视角调整: 滚动条改变触发相应事件，调用 draw3d 方法更新视角。确保图像根据当前角度显示。

I:\临时\三叉树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.exe.config I:\临时\三叉树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.exe I:\临时\三叉树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.pdb I:\临时\三叉树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.xml I:\临时\三叉树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.Form1.resources I:\临时\三叉树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.Resources.resources I:\临时\三叉树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.vbproj.GenerateResource.Cache I:\临时\三叉树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.exe I:\临时\三叉树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.xml I:\临时\三叉树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.pdb I:\vs2017\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.exe.config I:\vs2017\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.exe I:\vs2017\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.pdb I:\vs2017\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.xml I:\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.vbprojResolveAssemblyReference.cache I:\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.Form1.resources I:\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.Form2.resources I:\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.Resources.resources I:\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.vbproj.GenerateResource.Cache I:\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.exe I:\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.xml I:\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.pdb E:\转移到新的电脑\vs2017\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.exe.config E:\转移到新的电脑\vs2017\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.exe E:\转移到新的电脑\vs2017\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.pdb E:\转移到新的电脑\vs2017\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.xml E:\转移到新的电脑\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.vbprojAssemblyReference.cache E:\转移到新的电脑\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.Form1.resources E:\转移到新的电脑\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.Form2.resources E:\转移到新的电脑\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.Resources.resources E:\转移到新的电脑\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.vbproj.GenerateResource.cache E:\转移到新的电脑\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.vbproj.CoreCompileInputs.cache E:\转移到新的电脑\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.exe E:\转移到新的电脑\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.xml E:\转移到新的电脑\vs2017\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.pdb E:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.exe.config E:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.exe E:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.pdb E:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.xml E:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.vbprojAssemblyReference.cache E:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.Form1.resources E:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.Form2.resources E:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.Resources.resources E:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.vbproj.GenerateResource.cache E:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.vbproj.CoreCompileInputs.cache E:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.exe E:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.xml E:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.pdb F:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.exe.config F:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.exe F:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.pdb F:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\bin\Debug\WindowsApp1.xml F:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.vbproj.AssemblyReference.cache F:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.Form1.resources F:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.Form2.resources F:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.Resources.resources F:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.vbproj.GenerateResource.cache F:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.vbproj.CoreCompileInputs.cache F:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.exe F:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.xml F:\vbnet\三维三杈树\WindowsApp1\WindowsApp1\obj\Debug\WindowsApp1.pdb

资源文件列表:

三维三叉树.zip 大约有62个文件

WindowsApp1/
WindowsApp1/.vs/
WindowsApp1/.vs/WindowsApp1/
WindowsApp1/.vs/WindowsApp1/v15/
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WindowsApp1/.vs/WindowsApp1/v15/Server/
WindowsApp1/.vs/WindowsApp1/v15/Server/sqlite3/
WindowsApp1/.vs/WindowsApp1/v15/Server/sqlite3/db.lock
WindowsApp1/.vs/WindowsApp1/v15/Server/sqlite3/storage.ide 4KB
WindowsApp1/.vs/WindowsApp1/v15/Server/sqlite3/storage.ide-shm 32KB
WindowsApp1/.vs/WindowsApp1/v15/Server/sqlite3/storage.ide-wal 1.72MB
WindowsApp1/.vs/WindowsApp1/v16/
WindowsApp1/.vs/WindowsApp1/v16/.suo 47KB
WindowsApp1/WindowsApp1/
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WindowsApp1/WindowsApp1/App.config 188B
WindowsApp1/WindowsApp1/bin/
WindowsApp1/WindowsApp1/bin/Debug/
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WindowsApp1/WindowsApp1/bin/Release/
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WindowsApp1/WindowsApp1/obj/
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