From 76b598cedbbab68d65c945db6cad31f9af64c7c1 Mon Sep 17 00:00:00 2001 From: WangSimiao2000 <1872557359@qq.com> Date: Sat, 21 Dec 2024 22:22:25 +0800 Subject: [PATCH] =?UTF-8?q?Create=20"GAMES101=20=E7=AC=AC6=E8=AE=B2=20?= =?UTF-8?q?=E5=85=89=E6=A0=85=E5=8C=96(=E6=B7=B1=E5=BA=A6=E7=BC=93?= =?UTF-8?q?=E5=86=B2)"?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...md => 2024-12-05-GAMES101-Lecture06-01.md} | 0 _posts/2024-12-21-GAMES101-Lecture06-02.md | 42 ++++++++++++++++++ assets/posts/GAMES101-Lecture06/23.png | Bin 0 -> 186255 bytes assets/posts/GAMES101-Lecture06/24.png | Bin 0 -> 290061 bytes assets/posts/GAMES101-Lecture06/25.png | Bin 0 -> 810033 bytes assets/posts/GAMES101-Lecture06/26.png | Bin 0 -> 988696 bytes 6 files changed, 42 insertions(+) rename _posts/{2024-12-05-GAMES101-Lecture06.md => 2024-12-05-GAMES101-Lecture06-01.md} (100%) create mode 100644 _posts/2024-12-21-GAMES101-Lecture06-02.md create mode 100644 assets/posts/GAMES101-Lecture06/23.png create mode 100644 assets/posts/GAMES101-Lecture06/24.png create mode 100644 assets/posts/GAMES101-Lecture06/25.png create mode 100644 assets/posts/GAMES101-Lecture06/26.png diff --git a/_posts/2024-12-05-GAMES101-Lecture06.md b/_posts/2024-12-05-GAMES101-Lecture06-01.md similarity index 100% rename from _posts/2024-12-05-GAMES101-Lecture06.md rename to _posts/2024-12-05-GAMES101-Lecture06-01.md diff --git a/_posts/2024-12-21-GAMES101-Lecture06-02.md b/_posts/2024-12-21-GAMES101-Lecture06-02.md new file mode 100644 index 0000000..f1744a2 --- /dev/null +++ b/_posts/2024-12-21-GAMES101-Lecture06-02.md @@ -0,0 +1,42 @@ +--- +title: GAMES101 第6讲 光栅化(深度缓冲) +date: 2024-12-21 21:50:00 +0800 +categories: [笔记, GAMES101] +tags: [GAMES101, 计算机图形学] +math: true +--- + +## 深度缓冲 + +### 画家算法 + +**画家算法(Painter's Algorithm)**: 从后往前绘制, 后绘制的像素会覆盖先绘制的像素 + +例如下图中, 从后往前绘制, 会先绘制远处的山脉, 再绘制草地, 草地会覆盖部分山脉的像素, 然后绘制树木, 树木会覆盖部分草地的像素, 也会覆盖部分山脉的像素: + +![画家算法](/assets/posts/GAMES101-Lecture06/23.png){:width="700px"} + +但是画家算法有一个问题, 如果两个物体互相遮挡, 那么就会出现问题, 如下图所示: + +![画家算法问题](/assets/posts/GAMES101-Lecture06/24.png){:width="400px"} + +### 深度缓冲(Z-Buffer) + +**深度缓冲(Z-Buffer)**: 为每个像素存储一个深度值, 当绘制一个像素时, 先检查该像素的深度值, 如果新像素的深度值小于深度缓冲中的深度值, 那么就更新深度缓冲中的深度值, 并绘制新像素 +- 在渲染过程中, 除了最终得出的结果的图象, 还会生成一个**深度图**, 用于记录每个像素所看到的几何物体的**最浅**的深度信息, 这个图象就是**深度缓冲**, 也叫**深度图** +- 最终图象叫做**Frame Buffer**, 深度信息的图象叫做**Depth Buffer**, 两者**同时生成** + +图形学常常假设相机在原点, 观察方向为 $-z$ 轴, 但是为了我们方便计算, 我们假设 $z$ 的值始终为正值, 即 $z$ 越大, 越远离相机, $z$ 越小, 越靠近相机 + +![深度缓冲的示例](/assets/posts/GAMES101-Lecture06/25.png){:width="700px"} + +深度缓冲的算法如下: +1. 初始化深度缓冲, 将所有像素的深度值设为无穷大(无穷远) +2. 将所有三角形的像素绘制到深度缓冲中, 每次绘制一个像素时, 检查该像素的深度值 +3. 如果新像素的深度值小于深度缓冲中的深度值, 那么就更新深度缓冲中的深度值, 并绘制新像素 + +![深度缓冲的算法](/assets/posts/GAMES101-Lecture06/26.png){:width="700px"} + +算法复杂度: +- 假设每个三角形都会覆盖相同的常数个像素 +- 时间复杂度: $O(n)$ \ No newline at end of file diff --git a/assets/posts/GAMES101-Lecture06/23.png 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