From cd2d1372f08e73af232196c038b23b604eb67a21 Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Thu, 29 Jun 2017 11:35:45 +0800
Subject: [PATCH 01/15] Add files via upload

---
 ...276\345\235\220\346\240\207\347\263\273.png" | Bin 0 -> 48070 bytes
 1 file changed, 0 insertions(+), 0 deletions(-)
 create mode 100644 "CustomView/Advance/Res/\350\247\206\345\233\276\345\235\220\346\240\207\347\263\273.png"

diff --git "a/CustomView/Advance/Res/\350\247\206\345\233\276\345\235\220\346\240\207\347\263\273.png" "b/CustomView/Advance/Res/\350\247\206\345\233\276\345\235\220\346\240\207\347\263\273.png"
new file mode 100644
index 0000000000000000000000000000000000000000..aacdd868df023772efe84ede2b5091bdabee9235
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HcmV?d00001


From 1b8013eb7ed687bad3a28145bad5235302868c8d Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Thu, 29 Jun 2017 11:37:40 +0800
Subject: [PATCH 02/15] Update [01]CustomViewProcess.md

---
 CustomView/Advance/[01]CustomViewProcess.md | 5 ++++-
 1 file changed, 4 insertions(+), 1 deletion(-)

diff --git a/CustomView/Advance/[01]CustomViewProcess.md b/CustomView/Advance/[01]CustomViewProcess.md
index 5166f06f..79b45682 100644
--- a/CustomView/Advance/[01]CustomViewProcess.md
+++ b/CustomView/Advance/[01]CustomViewProcess.md
@@ -179,7 +179,10 @@ onSizeChanged如下：
   PS：关于onLayout这个函数在讲解自定义ViewGroup的时候会详细讲解。
 
 
-========
+========   add by Twan
+一张图看懂坐标系:
+
+https://github.com/twangithub/AndroidNote/blob/master/CustomView/Advance/Res/%E8%A7%86%E5%9B%BE%E5%9D%90%E6%A0%87%E7%B3%BB.png
 
 ### 5.绘制内容(onDraw)
 

From 7b1b532fe571edeb21f14ae3f5262cbf908c8a8e Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Thu, 29 Jun 2017 11:38:55 +0800
Subject: [PATCH 03/15] Update [01]CustomViewProcess.md

---
 CustomView/Advance/[01]CustomViewProcess.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/CustomView/Advance/[01]CustomViewProcess.md b/CustomView/Advance/[01]CustomViewProcess.md
index 79b45682..6af0308b 100644
--- a/CustomView/Advance/[01]CustomViewProcess.md
+++ b/CustomView/Advance/[01]CustomViewProcess.md
@@ -182,7 +182,7 @@ onSizeChanged如下：
 ========   add by Twan
 一张图看懂坐标系:
 
-https://github.com/twangithub/AndroidNote/blob/master/CustomView/Advance/Res/%E8%A7%86%E5%9B%BE%E5%9D%90%E6%A0%87%E7%B3%BB.png
+![](https://github.com/twangithub/AndroidNote/blob/master/CustomView/Advance/Res/%E8%A7%86%E5%9B%BE%E5%9D%90%E6%A0%87%E7%B3%BB.png)
 
 ### 5.绘制内容(onDraw)
 

From e519c45cb2d8352ed44cc6bd66f99520a53f6698 Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Tue, 4 Jul 2017 11:16:43 +0800
Subject: [PATCH 04/15] Update [09]Matrix_Basic.md

---
 CustomView/Advance/[09]Matrix_Basic.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/CustomView/Advance/[09]Matrix_Basic.md b/CustomView/Advance/[09]Matrix_Basic.md
index e60d8bfe..a9b6eabe 100644
--- a/CustomView/Advance/[09]Matrix_Basic.md
+++ b/CustomView/Advance/[09]Matrix_Basic.md
@@ -162,7 +162,7 @@ Matrix 是一个矩阵，最根本的作用就是坐标转换，下面我们就
 
 前乘相当于矩阵的右乘：
 
-![](http://latex.codecogs.com/png.latex?$$ M' =  M \\cdot S $$)
+![](http://latex.codecogs.com/png.latex?$$M'=M\\cdotS$$)
 
 > 这表示一个矩阵与一个特殊矩阵前乘后构造出结果矩阵。
 

From 6c6211b684a891b2a1b1286772482fbfdf43cec9 Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Tue, 4 Jul 2017 11:17:42 +0800
Subject: [PATCH 05/15] Update [09]Matrix_Basic.md

---
 CustomView/Advance/[09]Matrix_Basic.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/CustomView/Advance/[09]Matrix_Basic.md b/CustomView/Advance/[09]Matrix_Basic.md
index a9b6eabe..1ac3fa97 100644
--- a/CustomView/Advance/[09]Matrix_Basic.md
+++ b/CustomView/Advance/[09]Matrix_Basic.md
@@ -170,7 +170,7 @@ Matrix 是一个矩阵，最根本的作用就是坐标转换，下面我们就
 
 前乘相当于矩阵的左乘：
 
-![](http://latex.codecogs.com/png.latex?$$ M' =  S \\cdot M $$)
+![](http://latex.codecogs.com/png.latex?$$ M' =S\\cdotM$$)
 
 > 这表示一个矩阵与一个特殊矩阵后乘后构造出结果矩阵。
 

From 37f8052fa2be4bbc4ecb24814851eb247e43182e Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Tue, 4 Jul 2017 11:18:06 +0800
Subject: [PATCH 06/15] Update [09]Matrix_Basic.md

---
 CustomView/Advance/[09]Matrix_Basic.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/CustomView/Advance/[09]Matrix_Basic.md b/CustomView/Advance/[09]Matrix_Basic.md
index 1ac3fa97..df8d33c2 100644
--- a/CustomView/Advance/[09]Matrix_Basic.md
+++ b/CustomView/Advance/[09]Matrix_Basic.md
@@ -170,7 +170,7 @@ Matrix 是一个矩阵，最根本的作用就是坐标转换，下面我们就
 
 前乘相当于矩阵的左乘：
 
-![](http://latex.codecogs.com/png.latex?$$ M' =S\\cdotM$$)
+![](http://latex.codecogs.com/png.latex?$$M'=S\\cdotM$$)
 
 > 这表示一个矩阵与一个特殊矩阵后乘后构造出结果矩阵。
 

From a4be67cea77f2c9fa779860cc8126390ad7e4db5 Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Tue, 4 Jul 2017 11:26:44 +0800
Subject: [PATCH 07/15] Update [09]Matrix_Basic.md

---
 CustomView/Advance/[09]Matrix_Basic.md | 21 +++++++++++++++++++++
 1 file changed, 21 insertions(+)

diff --git a/CustomView/Advance/[09]Matrix_Basic.md b/CustomView/Advance/[09]Matrix_Basic.md
index df8d33c2..f6c2a42f 100644
--- a/CustomView/Advance/[09]Matrix_Basic.md
+++ b/CustomView/Advance/[09]Matrix_Basic.md
@@ -1,3 +1,24 @@
+#### add twan .加上自己的查的资料,便于理解,就是踩坑记录
+1.是不是随便两个矩阵都能相乘呢?
+[只有第一个矩阵的列的个数等于第二个矩阵的行的个数，这样的两个矩阵才能相乘。](http://zh.wikihow.com/%E8%AE%A1%E7%AE%97%E7%9F%A9%E9%98%B5%E4%B9%98%E6%B3%95)
+
+2.矩阵是怎么计算结果的呢?
+[结果矩阵第m行与第n列交叉位置的那个值，等于第一个矩阵第m行与第二个矩阵第n列，对应位置的每个值的乘积之和](http://www.ruanyifeng.com/blog/2015/09/matrix-multiplication.html)
+
+3.matrix.preTranslate(8.0f,7.0f);  这是什么意思呢?
+pre是前乘.那么就是M' = M * T
+注意T是什么呢? 在这里T是 
+1.0, 0.0, 8.0
+0.0, 1.0, 7.0
+0.0, 0.0, 1.0
+大括号不知道怎么打,能懂就行.刚学的时候误以为是原始矩阵直接乘以
+8.0
+7.0
+1
+须不知大错特错
+
+
+
 本文内容偏向理论，和 [画布操作](http://www.gcssloop.com/customview/Canvas_Convert/) 有重叠的部分，本文会让你更加深入的了解其中的原理。
 
 本篇的主角Matrix，是一个一直在后台默默工作的劳动模范，虽然我们所有看到View背后都有着Matrix的功劳，但我们却很少见到它，本篇我们就看看它是何方神圣吧。

From c49d26de5f19916bfe98f93bf70cde0b7ebeabd3 Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Tue, 4 Jul 2017 11:27:48 +0800
Subject: [PATCH 08/15] Update [09]Matrix_Basic.md

---
 CustomView/Advance/[09]Matrix_Basic.md | 12 +++++++++---
 1 file changed, 9 insertions(+), 3 deletions(-)

diff --git a/CustomView/Advance/[09]Matrix_Basic.md b/CustomView/Advance/[09]Matrix_Basic.md
index f6c2a42f..a340429f 100644
--- a/CustomView/Advance/[09]Matrix_Basic.md
+++ b/CustomView/Advance/[09]Matrix_Basic.md
@@ -1,22 +1,28 @@
 #### add twan .加上自己的查的资料,便于理解,就是踩坑记录
-1.是不是随便两个矩阵都能相乘呢?
+1.是不是随便两个矩阵都能相乘呢?<br>
 [只有第一个矩阵的列的个数等于第二个矩阵的行的个数，这样的两个矩阵才能相乘。](http://zh.wikihow.com/%E8%AE%A1%E7%AE%97%E7%9F%A9%E9%98%B5%E4%B9%98%E6%B3%95)
 
-2.矩阵是怎么计算结果的呢?
+2.矩阵是怎么计算结果的呢?<br>
 [结果矩阵第m行与第n列交叉位置的那个值，等于第一个矩阵第m行与第二个矩阵第n列，对应位置的每个值的乘积之和](http://www.ruanyifeng.com/blog/2015/09/matrix-multiplication.html)
 
 3.matrix.preTranslate(8.0f,7.0f);  这是什么意思呢?
 pre是前乘.那么就是M' = M * T
-注意T是什么呢? 在这里T是 
+注意T是什么呢? 在这里T是
+```
 1.0, 0.0, 8.0
 0.0, 1.0, 7.0
 0.0, 0.0, 1.0
+```
 大括号不知道怎么打,能懂就行.刚学的时候误以为是原始矩阵直接乘以
+```
 8.0
 7.0
 1
+```
 须不知大错特错
 
+> --------------------------------------------------------------------------------
+
 
 
 本文内容偏向理论，和 [画布操作](http://www.gcssloop.com/customview/Canvas_Convert/) 有重叠的部分，本文会让你更加深入的了解其中的原理。

From 2f04924c7bc94ff81a78f7276517e49803423745 Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Tue, 4 Jul 2017 11:29:50 +0800
Subject: [PATCH 09/15] Update [09]Matrix_Basic.md

---
 CustomView/Advance/[09]Matrix_Basic.md | 1 +
 1 file changed, 1 insertion(+)

diff --git a/CustomView/Advance/[09]Matrix_Basic.md b/CustomView/Advance/[09]Matrix_Basic.md
index a340429f..05f8e433 100644
--- a/CustomView/Advance/[09]Matrix_Basic.md
+++ b/CustomView/Advance/[09]Matrix_Basic.md
@@ -1,4 +1,5 @@
 #### add twan .加上自己的查的资料,便于理解,就是踩坑记录
+> --------------------------------------------------------------------------------
 1.是不是随便两个矩阵都能相乘呢?<br>
 [只有第一个矩阵的列的个数等于第二个矩阵的行的个数，这样的两个矩阵才能相乘。](http://zh.wikihow.com/%E8%AE%A1%E7%AE%97%E7%9F%A9%E9%98%B5%E4%B9%98%E6%B3%95)
 

From 394cb31ab5635784b2529ab4081b95438329a0a9 Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Tue, 4 Jul 2017 11:48:35 +0800
Subject: [PATCH 10/15] Update [10]Matrix_Method.md

---
 CustomView/Advance/[10]Matrix_Method.md | 10 +---------
 1 file changed, 1 insertion(+), 9 deletions(-)

diff --git a/CustomView/Advance/[10]Matrix_Method.md b/CustomView/Advance/[10]Matrix_Method.md
index 6d7b0a0c..d6cb434e 100644
--- a/CustomView/Advance/[10]Matrix_Method.md
+++ b/CustomView/Advance/[10]Matrix_Method.md
@@ -40,15 +40,7 @@ Matrix matrix = new Matrix();
 
 通过这种方式创建出来的并不是一个数值全部为空的矩阵，而是一个单位矩阵,如下:
 
-![](http://latex.codecogs.com/png.latex?$$
-\\left [ 
-\\begin{matrix} 
-1 & 0 & 0 \\\\
-0 & 1 & 0 \\\\
-0 & 0 & 1 
-\\end{1} 
-\\right ]
-$$)
+![](http://latex.codecogs.com/png.latex?$$\\left[\\begin{matrix}1&0&0\\\\0&1&0\\\\0&0&1\\end{1}\\right]$$)
 
 
 #### 有参构造

From ab7003c92f9cf0efa0163485bef5bee030804e93 Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Wed, 5 Jul 2017 11:25:33 +0800
Subject: [PATCH 11/15] Update [11]Matrix_3D_Camera.md

---
 CustomView/Advance/[11]Matrix_3D_Camera.md | 13 +------------
 1 file changed, 1 insertion(+), 12 deletions(-)

diff --git a/CustomView/Advance/[11]Matrix_3D_Camera.md b/CustomView/Advance/[11]Matrix_3D_Camera.md
index 0e4c83b6..7e483f1b 100644
--- a/CustomView/Advance/[11]Matrix_3D_Camera.md
+++ b/CustomView/Advance/[11]Matrix_3D_Camera.md
@@ -319,18 +319,7 @@ public class Rotate3dAnimation extends Animation {
 
 想要解决其实也不难，只要修改两个数值就可以了，这两个数值就是在Matrix中一直被众多开发者忽略的 `MPERSP_0` 和 `MPERSP_1`
 
-![](http://latex.codecogs.com/png.latex?
-$$
-\\left [ 
-\\begin{matrix} 
-MSCALE\\_X & MSKEW\\_X & MTRANS\\_X \\\\
-\\\\
-MSKEW\\_Y & MSCALE\\_Y & MTRANS\\_Y \\\\
-\\\\
-MPERSP\\_0 & MPERSP\\_1 & MPERSP\\_2 
-\\end{1} 
-\\right ] 
-$$)
+![](http://latex.codecogs.com/png.latex?$$\\left[\\begin{matrix}MSCALE\\_X&MSKEW\\_X&MTRANS\\_X\\\\\\\\MSKEW\\_Y&MSCALE\\_Y&MTRANS\\_Y\\\\\\\\MPERSP\\_0&MPERSP\\_1 &MPERSP\\_2\\end{1}\\right]$$)
 
 下面是修改后的代码(重点部分都已经标注出来了):
 

From 0fe7c54a2c48036856eb1042da1c89adb66fb62e Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Wed, 5 Jul 2017 11:26:09 +0800
Subject: [PATCH 12/15] Update [11]Matrix_3D_Camera.md

---
 CustomView/Advance/[11]Matrix_3D_Camera.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/CustomView/Advance/[11]Matrix_3D_Camera.md b/CustomView/Advance/[11]Matrix_3D_Camera.md
index 7e483f1b..85f03034 100644
--- a/CustomView/Advance/[11]Matrix_3D_Camera.md
+++ b/CustomView/Advance/[11]Matrix_3D_Camera.md
@@ -319,7 +319,7 @@ public class Rotate3dAnimation extends Animation {
 
 想要解决其实也不难，只要修改两个数值就可以了，这两个数值就是在Matrix中一直被众多开发者忽略的 `MPERSP_0` 和 `MPERSP_1`
 
-![](http://latex.codecogs.com/png.latex?$$\\left[\\begin{matrix}MSCALE\\_X&MSKEW\\_X&MTRANS\\_X\\\\\\\\MSKEW\\_Y&MSCALE\\_Y&MTRANS\\_Y\\\\\\\\MPERSP\\_0&MPERSP\\_1 &MPERSP\\_2\\end{1}\\right]$$)
+![](http://latex.codecogs.com/png.latex?$$\\left[\\begin{matrix}MSCALE\\_X&MSKEW\\_X&MTRANS\\_X\\\\\\\\MSKEW\\_Y&MSCALE\\_Y&MTRANS\\_Y\\\\\\\\MPERSP\\_0&MPERSP\\_1&MPERSP\\_2\\end{1}\\right]$$)
 
 下面是修改后的代码(重点部分都已经标注出来了):
 

From 4e0aa9fa9dcfca4eb459b0b43f6d6cc58420c99a Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Tue, 11 Jul 2017 12:01:59 +0800
Subject: [PATCH 13/15] Update [01]CustomViewProcess.md

---
 CustomView/Advance/[01]CustomViewProcess.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/CustomView/Advance/[01]CustomViewProcess.md b/CustomView/Advance/[01]CustomViewProcess.md
index 6af0308b..607d8dd7 100644
--- a/CustomView/Advance/[01]CustomViewProcess.md
+++ b/CustomView/Advance/[01]CustomViewProcess.md
@@ -178,7 +178,7 @@ onSizeChanged如下：
 
   PS：关于onLayout这个函数在讲解自定义ViewGroup的时候会详细讲解。
 
-
+注意: 这里有一句 view坐标系的相对的. 以前以为所有的坐标点都是基于屏幕左上角 ,其实不然, 而是针对父容器的. 这点真要注意<br>
 ========   add by Twan
 一张图看懂坐标系:
 

From 2e36781ca38ae863000636246ac2809000b8952d Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Tue, 11 Jul 2017 12:03:37 +0800
Subject: [PATCH 14/15] Update [01]CustomViewProcess.md

---
 CustomView/Advance/[01]CustomViewProcess.md | 2 ++
 1 file changed, 2 insertions(+)

diff --git a/CustomView/Advance/[01]CustomViewProcess.md b/CustomView/Advance/[01]CustomViewProcess.md
index 607d8dd7..7f7c72bb 100644
--- a/CustomView/Advance/[01]CustomViewProcess.md
+++ b/CustomView/Advance/[01]CustomViewProcess.md
@@ -178,7 +178,9 @@ onSizeChanged如下：
 
   PS：关于onLayout这个函数在讲解自定义ViewGroup的时候会详细讲解。
 
+<br>
 注意: 这里有一句 view坐标系的相对的. 以前以为所有的坐标点都是基于屏幕左上角 ,其实不然, 而是针对父容器的. 这点真要注意<br>
+
 ========   add by Twan
 一张图看懂坐标系:
 

From 665a749a760dd0adefe6334c3d58334f0ed247fa Mon Sep 17 00:00:00 2001
From: Twan <599054904@qq.com>
Date: Wed, 12 Jul 2017 15:33:01 +0800
Subject: [PATCH 15/15] Update [09]Matrix_Basic.md

---
 CustomView/Advance/[09]Matrix_Basic.md | 17 +++++++++++++++++
 1 file changed, 17 insertions(+)

diff --git a/CustomView/Advance/[09]Matrix_Basic.md b/CustomView/Advance/[09]Matrix_Basic.md
index 05f8e433..95e41a1b 100644
--- a/CustomView/Advance/[09]Matrix_Basic.md
+++ b/CustomView/Advance/[09]Matrix_Basic.md
@@ -99,6 +99,23 @@ Matrix 是一个矩阵，最根本的作用就是坐标转换，下面我们就
 
 ![](http://ww3.sinaimg.cn/large/006tKfTcly1fdz7busaiej3062020mx4.jpg)
 
+-------------------------------------
+请注意这里的:
+```
+X0
+Y0
+1
+```
+实际上完整的写法是这样的:
+```
+0  0  X0
+0  0  Y0
+0  0  1
+```
+
+
+
+-------------------------------------
 >  你可能注意到了，我们坐标多了一个1，这是使用了齐次坐标系的缘故，在数学中我们的点和向量都是这样表示的(x, y)，两者看起来一样，计算机无法区分，为此让计算机也可以区分它们，增加了一个标志位，增加之后看起来是这样: <br/>
 >
 >  (x, y, 1) - 点<br/>