From 55df3587345dbf636f621f1866e2b80de28bfd2f Mon Sep 17 00:00:00 2001 From: lmj01 Date: Wed, 7 Aug 2024 17:28:26 +0800 Subject: [PATCH] update --- articles/2023/regression.md | 7 ----- articles/notes/work.md | 7 +++++ cg/graphics.md | 8 +++++ cg/threejs/index.md | 1 + cg/threejs/use.md | 28 ++++++++++++++++++ cg/tools/webgl.md | 2 ++ dev-note/git.md | 8 +++++ exercises/combinatorics.md | 22 ++++++++++++++ exercises/index.md | 2 ++ exercises/math.high.md | 45 ++++++++++++++++++++++++++++- exercises/numerical.calculation.md | 11 ++++++- images/cg/desmos-graph-log.svg | 1 + images/cg/switch-persp-ortho.png | Bin 0 -> 291718 bytes index.css | 3 ++ index/article.md | 12 ++++---- index/medicalScience.md | 4 +++ web/pkg.md | 1 + 17 files changed, 147 insertions(+), 15 deletions(-) delete mode 100644 articles/2023/regression.md create mode 100644 exercises/combinatorics.md create mode 100644 images/cg/desmos-graph-log.svg create mode 100644 images/cg/switch-persp-ortho.png diff --git a/articles/2023/regression.md b/articles/2023/regression.md deleted file mode 100644 index cc9d7ef..0000000 --- a/articles/2023/regression.md +++ /dev/null @@ -1,7 +0,0 @@ -# 回归分析 -> - -## Gaussian elimination - -## 术语 - diff --git a/articles/notes/work.md b/articles/notes/work.md index 3e4e030..7e823e0 100644 --- a/articles/notes/work.md +++ b/articles/notes/work.md @@ -5,3 +5,10 @@ - 2024-7-25 游离根 跟着 颌骨显示 ## 快速目标位 + +牙齿的关键点 + +- fa 牙号放在的位置 +- flAxis 从颊侧到舌侧方向 +- ieAxis 从牙冠到牙根方向 +- mdAxis 从近中到远中方向 \ No newline at end of file diff --git a/cg/graphics.md b/cg/graphics.md index 5fa21bf..712a5e0 100644 --- a/cg/graphics.md +++ b/cg/graphics.md @@ -81,3 +81,11 @@ Exocad是一款跨平台的应用程序,免费使用。 - [Yet another modeling kernel? Hell, no.关于是否要从0开发一个新的几何内核](https://quaoar.su/blog/page/modeling-kernel-no-thanks) - [A 3D CAD application on your browser](https://chili3d.com/) - [github](https://github.com/xiangechen/chili3d) + +## 开源图像 + +### [HARFANG®3D builds real-time 3D tools for industry professionals.](https://www.harfang3d.com/en_US/) + +底层使用bgfx,可以分析分析别人使用的框架逻辑 + +- [github](https://github.com/harfang3d/harfang3d) \ No newline at end of file diff --git a/cg/threejs/index.md b/cg/threejs/index.md index 5297e23..28a4eb7 100644 --- a/cg/threejs/index.md +++ b/cg/threejs/index.md @@ -20,3 +20,4 @@ - [webgl examples](https://alteredqualia.com/) - [22](https://github.com/brunosimon/folio-2019) - [THREE.js rendering order渲染顺序](https://segmentfault.com/a/1190000041221932/en) +- [A camera control for three.js, similar to THREE.OrbitControls yet supports smooth transitions and more features. ](https://github.com/lmj01/camera-controls) diff --git a/cg/threejs/use.md b/cg/threejs/use.md index 807e92a..84205c8 100644 --- a/cg/threejs/use.md +++ b/cg/threejs/use.md @@ -1,5 +1,33 @@ # 问题集 +## 2024-8-6 + +看到的grid绘制,但是不是使用threejs自带的控制器,这些控制器不是改变物体,而是改变camera的位置和朝向。 + +这样使用多个renderTarget来合成单个图像,就存在一个显示问题,鼠标操作的应该是object对象的移动,而不是camera的移动。 + +## 2024-7-30 + +正交与透视camera的切换,且场景的大小不能改变! +之前项目中的代码看不出什么逻辑上的设置,现在就是从透视到正交切换时,缩放差异很大, +正交切换到透视还可以接受。 + +OrthographicCaemra的值不能直接赋值 + +正交切换到透视后,可以任意切换。 +透视切换正交时,会出现缩放严重问题。 + +2024-8-6 +透视的角度设置较低,位置拉长,这样切换过程中就不会那么突兀。透视转正交,必须设置一个合理的zoom值,否则正交就会改变很大,之前的方案中存在视口很小, +都是50上下,这样宽度才100多,这样保证了zoom的值很小。我在这里通过设置一个值,使用Math.log2(persp.position.length())来作为zoom值,这个也符合透视时 +camera的近远曲线的趋势。 + +在这边文章中[opengl projection matrix](https://songho.ca/opengl/gl_projectionmatrix.html)描述了投影矩阵的推理过程,其中谈到了透视投影过程中,near和far之间的关系,非线性。所以这里我想到了对数来描述他们之间的关系,从曲线走势来看很符合要求。这也是解决之前的flickering问题,depth precision error(z-fighting) + +- [正交投影与透视投影的切换计算逻辑](https://www.geogebra.org/geometry/yyzjqhg2) +![投影切换](/images/cg/switch-persp-ortho.png "Switch persp to ortho and ortho to persp") +![log graph](/images/cg/desmos-graph-log.svg "log graph") + ## 2024-7-19 接手公司项目时,使用他们的代码拷贝过来,产生了一个问题,就是渲染时牙龈边沿处的跳动。 diff --git a/cg/tools/webgl.md b/cg/tools/webgl.md index fb717e1..637bb06 100644 --- a/cg/tools/webgl.md +++ b/cg/tools/webgl.md @@ -1,5 +1,7 @@ # [WebGL](https://registry.khronos.org/webgl/specs/latest/) +- [Free 3D Models and Commercial Use 3D Models at great prices. free3d.com 免费模型下载](https://free3d.com/) + - [threejs](https://threejs.org/) - [笔记](/cg/threejs/index.md) - [BabylonJS](https://www.babylonjs.com/) diff --git a/dev-note/git.md b/dev-note/git.md index 93891de..99d35a1 100644 --- a/dev-note/git.md +++ b/dev-note/git.md @@ -55,6 +55,14 @@ - git fetch upstream 从上游更新 - git merge upstream/branch-name 合并上游分支到本地,如果出现**fatal: refusing to merge unrelated histories**, 是两个库的commit历史不同,放在错误的设置,加上--allow-unrelated-histories即可 +### tag + +- git tag -a tagName -m "描述" 添加标签 +- git push origin tagName 推送指定的标签 +- git push origin --tags 推送所有的 +- git push origin --delete tagName 删除远程标签 +- git checkout -b branchName tagName 以某个标签为指定版本 + ### [stash](https://www.git-scm.com/docs/git-stash) 此操作非常耗时 - git stash list 罗列出所有的 diff --git a/exercises/combinatorics.md b/exercises/combinatorics.md new file mode 100644 index 0000000..7aec601 --- /dev/null +++ b/exercises/combinatorics.md @@ -0,0 +1,22 @@ +# 组合学 + +组合学有两部分领域 +- 组合算法,计算对象是离散的、有限的数学结构。从方法学角度来看,组合算法包括算法设计和算法分析两个方面 + - 关于算法设计,历史上已经总结出了普遍意义的方法和技术。包括 + - 动态规划 + - 回溯法 + - 分支限界法 + - 分治法 + - 贪心法 + - 应用广泛,如 + - 旅行商问题 + - 图着色问题 + - 整数规划问题 +- 组合数学,主要研究内容有: + - 鸽巢原理 + - 排列与组合 + - 二项式系数 + - 容斥原理及应用 + - 递推关系和生成函数 + - 特殊计数序列 + - 组合设计 \ No newline at end of file diff --git a/exercises/index.md b/exercises/index.md index cce4a71..1e7c885 100644 --- a/exercises/index.md +++ b/exercises/index.md @@ -10,6 +10,7 @@ - [高中数学](/exercises/math.high.md) - [高等数学](/exercises/advanced.mathematics.md) - [数论](/exercises/number.theory.md) +- [组合](/exercises/combinatorics.md) - [微积分](/exercises/differential.integral.md) - [数值计算](/exercises/numerical.calculation.md) - [几何](/exercises/geometry.md) @@ -24,6 +25,7 @@ - [Wolfram MathWorld](https://mathworld.wolfram.com/) - [提供各种数学问题的交互式解法和动画](https://www.cut-the-knot.org/) +- [图形计算器,用meijie.lmj@outlook.com登录的](https://www.desmos.com/calculator?lang=zh-CN)
Geogebra开源在线工具 diff --git a/exercises/math.high.md b/exercises/math.high.md index bef2ba6..8a2cbac 100644 --- a/exercises/math.high.md +++ b/exercises/math.high.md @@ -1,7 +1,50 @@ # 高中数学
-厦门2024强基 +2024-8-5不等式 + +$$ +\text{若a,b为正实数,且} \frac{8}{a} + \frac{1}{b} = 1, \text{则} a^2+b^2 \text{的最小值是多少?} +$$ + +$$ +\text{由权方和不等式得知} \newline +1 = \frac{8}{a} + \frac{1}{b} = \frac{(4)^{\frac{3}{2}}}{(a^2)^{\frac{1}{2}}} + \frac{1^{frac{3}{2}}}{(b^2)^{\frac{1}{2}}} \newline +>= \frac{(4 + 1)^{\frac{3}{2}}}{\sqrt(a^2 + b^2)} \to \sqrt(a^2+b^2) \ge \sqrt(125) \to a^2 + b^2 \ge 125. +$$ + +利用多元微分来求解 + +$$ +\frac{8}{a} + \frac{1}{b} = 1 \to \frac{8}{a} + \frac{1}{b} - 1 = 0. \newline +\text{设}F(a,b,\lambda) = a^2 + b^2 + \lambda(\frac{8}{a} + \frac{1}{b} - 1) \newline +\begin{cases} +F^{`}(a) = 2a - \frac{8\lambda}{a^2} \newline +F^{`}(b) = 2b - \frac{\lambda}{b^2} \newline +F^{`}(\lambda) = \frac{8}{a} + \frac{1}{b} - 1 \newline +\end{cases} \to \newline +\begin{cases} +F^{`}(a) = 0 \newline +F^{`}(b) = 0 \newline +F^{`}(\lambda) = 0 \newline +\end{cases} \to \newline +\begin{cases} +2a = \frac{8\lambda}{a^2} \newline +2b = \frac{\lambda}{b^2} \newline +\end{cases} \to \newline +\lambda = \frac{a^3}{4} = 2b^3 \to a = 2b \to \newline +\begin{cases} +a = 5 \newline +b = 10 \newline +\end{cases} \newline +\therefore (a^2 + b^2)_{min} = 5^2 + 10^2 = 125 +$$ + +
+ + +
+2024-6-20厦门2024强基 $$ \text{已知}x,y \gt 0, (x + y + xy)(x + y - xy) = xy, \text{求}x + y + xy \text{和}x + y - xy \text{的最小值}. \newline diff --git a/exercises/numerical.calculation.md b/exercises/numerical.calculation.md index 50752dd..c2d89c5 100644 --- a/exercises/numerical.calculation.md +++ b/exercises/numerical.calculation.md @@ -31,4 +31,13 @@ $$ Gauss型求积算法是数值稳定的,且对有限闭区间上的连续函数,Gauss求积的数值随节点数目的增加而收敛到准确积分值 。 - [高斯积分](http://staff.ustc.edu.cn/~rui/textbooks/nm/slides/num-integration-gauss.html#/16) -- [第四章 数值积分与数值微分 朱升峰 华东师范大学 数学科学学院](https://math.ecnu.edu.cn/~sfzhu/course/NumerAnal/NumerInt3.pdf) \ No newline at end of file +- [第四章 数值积分与数值微分 朱升峰 华东师范大学 数学科学学院](https://math.ecnu.edu.cn/~sfzhu/course/NumerAnal/NumerInt3.pdf) + +## 回归分析法 + +- [regression-js is a JavaScript module containing a collection of linear least-squares fitting methods for simple data analysis. ](https://github.com/Tom-Alexander/regression-js) +- [A JavaScript library for performing in-browser linear regression.](https://github.com/McCulloughRT/regress-js) + +### Gaussian elimination + +### 术语 diff --git a/images/cg/desmos-graph-log.svg b/images/cg/desmos-graph-log.svg new file mode 100644 index 0000000..5482fd8 --- /dev/null +++ b/images/cg/desmos-graph-log.svg @@ -0,0 +1 @@ +Y axisX axis00-5-5551010-10-10-5-555Expression 1 \ No newline at end of file diff --git a/images/cg/switch-persp-ortho.png b/images/cg/switch-persp-ortho.png new file mode 100644 index 0000000000000000000000000000000000000000..eb3d078d625d4180710a6352080ead9b7d31697f GIT binary patch literal 291718 zcmeFac|4SR|38kDMp^EpO`>y(j*23?L7Ym-a$?9jIzqCH8cd8aw&qH?h^lR{vEcyLCe2OL{|A5w0wh>|2cp81})#9Wu1t#K41F=E#IK!8?^j0;rfQ0 z-;nbga{gHj_!bzx1%_{d;agz%&v^L%-)y}pW%J4`(}v%ZVl-$DlAZjAY*5Y7uRy|A zq9$NG9{&&%W8A*DDfWNvN`LWmQ3Ue8t5~n@V#j`ED*l$&vCaQkZR-@6fya~h_IQ5@ z|4;FK)80CU@`ojVGtMu4<^OWu^EfVs=J6~9m1*yGZT^oPA&RqU6W`@Fa^HXa)Zbm{ zPbgcI1Ompc_3nJl(Ef15Z(Q_CYy0EMx7Nx!aqe3d{}n#+e=J#hGmBjMYZhSb-oI&b 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HcmV?d00001 diff --git a/index.css b/index.css index c1cbee2..9032742 100644 --- a/index.css +++ b/index.css @@ -46,3 +46,6 @@ em { .navbar-nav .nav-link.active { color: var(--bs-primary)!important; } +img { + width: 100%; +} diff --git a/index/article.md b/index/article.md index e522d47..45cabd4 100644 --- a/index/article.md +++ b/index/article.md @@ -10,11 +10,12 @@ - [Blender](/cg/blender/index.md) ### 图形学 -- [裁剪](../cg/tools/culling.md) -- [四元数](../cg/tools/quaternion.md) -- [meshlab](../cg/tools/meshlab.md) -- [eigen](../cg/library/eigen.md) -- [Gizmo](../cg/tools/gizmo.md) +- [裁剪](/cg/tools/culling.md) +- [四元数](/cg/tools/quaternion.md) +- [meshlab](/cg/tools/meshlab.md) +- [eigen](/cg/library/eigen.md) +- [Gizmo](/cg/tools/gizmo.md) +- [threejs使用记录](/cg/threejs/use.md) ## 工作中遇到的 - [mobile-detect.js](https://github.com/hgoebl/mobile-detect.js) @@ -50,6 +51,5 @@ - [打印相关](/articles/2023/printer.md) - [用户 角色 权限的通用设计](/articles/2023/userRolePermission.md) - [农历历法](/articles/2023/chineseCalendar.md) -- [回归分析法](/articles/2023/regression.md) - [协同编辑](/articles/2023/associateEditor.md) - [Fractional Indexing小数索引技术](/articles/2023/fractionalIndexing.md) diff --git a/index/medicalScience.md b/index/medicalScience.md index a291b77..2696133 100644 --- a/index/medicalScience.md +++ b/index/medicalScience.md @@ -64,6 +64,10 @@ xyz是世界坐标系 图像坐标系描述了如何获取相对于解剖结构的图像。医疗扫描仪创建从左上角开始的点和细胞的常规矩形阵列。 I轴向右增大,J轴向右增大,K轴向后增大。除了每个体素的强度值IJK之外,还存储解剖坐标的原点和间距。使用原点和间距可以计算出每个图像坐标体素在解剖坐标系中的相应位置。 +### 牙齿编号 + +现在通常两种牙号,内部使用FDI,界面可能是universal牙号(针对美国的) + ## 参考 - [3DSlicer -- Coordinate systems](https://www.slicer.org/wiki/Coordinate_systems) diff --git a/web/pkg.md b/web/pkg.md index 6603b28..8dbe586 100644 --- a/web/pkg.md +++ b/web/pkg.md @@ -36,6 +36,7 @@ npm config set registry https://registry.npmjs.org // 官方源 npm install -g mirror-config-china --registry=https://registry.npm.taobao.org npm install --registry=https://registry.npm.taobao.org 指定淘宝源的安装 npm config get cache // 清理 // 缓存路径 +npm config set cache "e:\dev-data\npm-cache" 设置新的缓存 npm cache clean --force npm config list ```