[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.53,0:00:01.57,Default,,0000,0000,0000,,大家好。
Dialogue: 0,0:00:01.57,0:00:03.68,Default,,0000,0000,0000,,我这里想做的是描述一下
Dialogue: 0,0:00:03.68,0:00:06.22,Default,,0000,0000,0000,,如何考虑三维图像。
Dialogue: 0,0:00:06.22,0:00:08.86,Default,,0000,0000,0000,,三维图像是我们表达
Dialogue: 0,0:00:08.86,0:00:10.26,Default,,0000,0000,0000,,某种多元函数的一种方式，
Dialogue: 0,0:00:10.26,0:00:12.16,Default,,0000,0000,0000,,那种函数有两个输入，
Dialogue: 0,0:00:12.16,0:00:14.54,Default,,0000,0000,0000,,或者一个二维输入，
Dialogue: 0,0:00:14.54,0:00:17.00,Default,,0000,0000,0000,,然后某种一维的输出。
Dialogue: 0,0:00:17.00,0:00:19.30,Default,,0000,0000,0000,,那么我这里画的是
Dialogue: 0,0:00:19.30,0:00:23.73,Default,,0000,0000,0000,,f(x,y)等于x的平方加上y平方。
Dialogue: 0,0:00:23.73,0:00:26.62,Default,,0000,0000,0000,,在我们讨论这个图像前，
Dialogue: 0,0:00:26.62,0:00:28.46,Default,,0000,0000,0000,,我认为用比喻会有用，
Dialogue: 0,0:00:28.46,0:00:30.38,Default,,0000,0000,0000,,我们看一看二维图像以及
Dialogue: 0,0:00:30.38,0:00:32.58,Default,,0000,0000,0000,,稍微提醒一下我们自己那些是怎么运作的，
Dialogue: 0,0:00:32.58,0:00:36.56,Default,,0000,0000,0000,,我们做的是什么，因为，它和
Dialogue: 0,0:00:36.56,0:00:38.88,Default,,0000,0000,0000,,三维的是一样的，
Dialogue: 0,0:00:38.88,0:00:41.15,Default,,0000,0000,0000,,但是它需要稍微多一点视觉化。
Dialogue: 0,0:00:41.15,0:00:43.36,Default,,0000,0000,0000,,那么二维图像，
Dialogue: 0,0:00:43.36,0:00:45.56,Default,,0000,0000,0000,,你知道它们有某种函数，
Dialogue: 0,0:00:45.56,0:00:49.73,Default,,0000,0000,0000,,让我们看一看你有f(x)等于x的平方，
Dialogue: 0,0:00:51.09,0:00:54.00,Default,,0000,0000,0000,,你视觉化一个函数的任何时候，你尝试
Dialogue: 0,0:00:54.00,0:00:55.55,Default,,0000,0000,0000,,理解输入和输出
Dialogue: 0,0:00:55.55,0:00:57.15,Default,,0000,0000,0000,,之间的关系。
Dialogue: 0,0:00:57.15,0:00:59.03,Default,,0000,0000,0000,,
Dialogue: 0,0:00:59.03,0:01:00.87,Default,,0000,0000,0000,,
Dialogue: 0,0:01:00.87,0:01:03.65,Default,,0000,0000,0000,,
Dialogue: 0,0:01:03.65,0:01:07.35,Default,,0000,0000,0000,,
Dialogue: 0,0:01:07.35,0:01:09.64,Default,,0000,0000,0000,,
Dialogue: 0,0:01:09.64,0:01:11.51,Default,,0000,0000,0000,,
Dialogue: 0,0:01:11.51,0:01:13.09,Default,,0000,0000,0000,,
Dialogue: 0,0:01:13.09,0:01:17.57,Default,,0000,0000,0000,,
Dialogue: 0,0:01:17.57,0:01:21.38,Default,,0000,0000,0000,,
Dialogue: 0,0:01:21.38,0:01:24.48,Default,,0000,0000,0000,,
Dialogue: 0,0:01:24.48,0:01:26.49,Default,,0000,0000,0000,,
Dialogue: 0,0:01:26.49,0:01:30.19,Default,,0000,0000,0000,,
Dialogue: 0,0:01:30.19,0:01:34.31,Default,,0000,0000,0000,,
Dialogue: 0,0:01:34.31,0:01:36.97,Default,,0000,0000,0000,,
Dialogue: 0,0:01:39.22,0:01:43.26,Default,,0000,0000,0000,,
Dialogue: 0,0:01:43.26,0:01:45.86,Default,,0000,0000,0000,,
Dialogue: 0,0:01:45.86,0:01:48.30,Default,,0000,0000,0000,,
Dialogue: 0,0:01:48.30,0:01:50.38,Default,,0000,0000,0000,,
Dialogue: 0,0:01:51.59,0:01:55.30,Default,,0000,0000,0000,,
Dialogue: 0,0:01:55.30,0:01:59.16,Default,,0000,0000,0000,,
Dialogue: 0,0:01:59.16,0:02:01.49,Default,,0000,0000,0000,,
Dialogue: 0,0:02:01.49,0:02:04.23,Default,,0000,0000,0000,,
Dialogue: 0,0:02:04.23,0:02:07.41,Default,,0000,0000,0000,,
Dialogue: 0,0:02:07.41,0:02:09.81,Default,,0000,0000,0000,,
Dialogue: 0,0:02:09.81,0:02:13.02,Default,,0000,0000,0000,,
Dialogue: 0,0:02:13.02,0:02:17.18,Default,,0000,0000,0000,,
Dialogue: 0,0:02:18.83,0:02:21.55,Default,,0000,0000,0000,,
Dialogue: 0,0:02:21.55,0:02:23.27,Default,,0000,0000,0000,,
Dialogue: 0,0:02:23.27,0:02:26.08,Default,,0000,0000,0000,,
Dialogue: 0,0:02:26.08,0:02:29.15,Default,,0000,0000,0000,,
Dialogue: 0,0:02:29.15,0:02:31.90,Default,,0000,0000,0000,,
Dialogue: 0,0:02:31.90,0:02:34.12,Default,,0000,0000,0000,,
Dialogue: 0,0:02:34.12,0:02:37.11,Default,,0000,0000,0000,,
Dialogue: 0,0:02:37.11,0:02:39.01,Default,,0000,0000,0000,,
Dialogue: 0,0:02:39.01,0:02:42.65,Default,,0000,0000,0000,,
Dialogue: 0,0:02:42.65,0:02:46.82,Default,,0000,0000,0000,,
Dialogue: 0,0:02:47.91,0:02:51.39,Default,,0000,0000,0000,,
Dialogue: 0,0:02:51.39,0:02:53.65,Default,,0000,0000,0000,,
Dialogue: 0,0:02:53.65,0:02:57.82,Default,,0000,0000,0000,,
Dialogue: 0,0:03:02.57,0:03:05.33,Default,,0000,0000,0000,,
Dialogue: 0,0:03:05.33,0:03:08.05,Default,,0000,0000,0000,,
Dialogue: 0,0:03:08.05,0:03:10.81,Default,,0000,0000,0000,,
Dialogue: 0,0:03:10.81,0:03:14.98,Default,,0000,0000,0000,,
Dialogue: 0,0:03:17.27,0:03:19.93,Default,,0000,0000,0000,,
Dialogue: 0,0:03:19.93,0:03:23.16,Default,,0000,0000,0000,,
Dialogue: 0,0:03:23.16,0:03:25.94,Default,,0000,0000,0000,,
Dialogue: 0,0:03:25.94,0:03:28.28,Default,,0000,0000,0000,,
Dialogue: 0,0:03:28.28,0:03:31.70,Default,,0000,0000,0000,,
Dialogue: 0,0:03:31.70,0:03:34.61,Default,,0000,0000,0000,,
Dialogue: 0,0:03:34.61,0:03:37.44,Default,,0000,0000,0000,,
Dialogue: 0,0:03:37.44,0:03:40.12,Default,,0000,0000,0000,,
Dialogue: 0,0:03:40.12,0:03:41.49,Default,,0000,0000,0000,,
Dialogue: 0,0:03:41.49,0:03:44.04,Default,,0000,0000,0000,,
Dialogue: 0,0:03:44.04,0:03:45.81,Default,,0000,0000,0000,,
Dialogue: 0,0:03:45.81,0:03:48.57,Default,,0000,0000,0000,,
Dialogue: 0,0:03:48.57,0:03:51.18,Default,,0000,0000,0000,,
Dialogue: 0,0:03:51.18,0:03:54.01,Default,,0000,0000,0000,,
Dialogue: 0,0:03:54.01,0:03:56.24,Default,,0000,0000,0000,,
Dialogue: 0,0:03:56.24,0:03:58.93,Default,,0000,0000,0000,,
Dialogue: 0,0:03:58.93,0:04:02.04,Default,,0000,0000,0000,,
Dialogue: 0,0:04:02.04,0:04:04.57,Default,,0000,0000,0000,,
Dialogue: 0,0:04:04.57,0:04:07.29,Default,,0000,0000,0000,,
Dialogue: 0,0:04:07.29,0:04:11.89,Default,,0000,0000,0000,,
Dialogue: 0,0:04:11.89,0:04:14.95,Default,,0000,0000,0000,,
Dialogue: 0,0:04:14.95,0:04:17.22,Default,,0000,0000,0000,,
Dialogue: 0,0:04:17.22,0:04:19.04,Default,,0000,0000,0000,,
Dialogue: 0,0:04:19.04,0:04:21.33,Default,,0000,0000,0000,,
Dialogue: 0,0:04:21.33,0:04:25.50,Default,,0000,0000,0000,,
Dialogue: 0,0:04:27.18,0:04:29.30,Default,,0000,0000,0000,,
Dialogue: 0,0:04:29.30,0:04:31.66,Default,,0000,0000,0000,,
Dialogue: 0,0:04:31.66,0:04:33.82,Default,,0000,0000,0000,,
Dialogue: 0,0:04:33.82,0:04:37.46,Default,,0000,0000,0000,,
Dialogue: 0,0:04:37.46,0:04:39.56,Default,,0000,0000,0000,,
Dialogue: 0,0:04:39.56,0:04:42.08,Default,,0000,0000,0000,,
Dialogue: 0,0:04:42.08,0:04:44.42,Default,,0000,0000,0000,,
Dialogue: 0,0:04:44.42,0:04:45.94,Default,,0000,0000,0000,,
Dialogue: 0,0:04:45.94,0:04:49.28,Default,,0000,0000,0000,,
Dialogue: 0,0:04:49.28,0:04:52.52,Default,,0000,0000,0000,,
Dialogue: 0,0:04:52.52,0:04:56.69,Default,,0000,0000,0000,,
Dialogue: 0,0:04:56.69,0:05:00.86,Default,,0000,0000,0000,,
Dialogue: 0,0:05:02.18,0:05:06.45,Default,,0000,0000,0000,,
Dialogue: 0,0:05:06.45,0:05:09.23,Default,,0000,0000,0000,,
Dialogue: 0,0:05:09.23,0:05:13.39,Default,,0000,0000,0000,,
Dialogue: 0,0:05:14.29,0:05:15.92,Default,,0000,0000,0000,,
Dialogue: 0,0:05:15.92,0:05:19.64,Default,,0000,0000,0000,,
Dialogue: 0,0:05:19.64,0:05:21.39,Default,,0000,0000,0000,,
Dialogue: 0,0:05:21.39,0:05:23.42,Default,,0000,0000,0000,,
Dialogue: 0,0:05:23.42,0:05:27.18,Default,,0000,0000,0000,,
Dialogue: 0,0:05:27.18,0:05:29.39,Default,,0000,0000,0000,,
Dialogue: 0,0:05:29.39,0:05:31.53,Default,,0000,0000,0000,,
Dialogue: 0,0:05:31.53,0:05:33.44,Default,,0000,0000,0000,,
Dialogue: 0,0:05:33.44,0:05:35.82,Default,,0000,0000,0000,,
Dialogue: 0,0:05:35.82,0:05:38.72,Default,,0000,0000,0000,,
Dialogue: 0,0:05:38.72,0:05:42.56,Default,,0000,0000,0000,,
Dialogue: 0,0:05:43.44,0:05:45.02,Default,,0000,0000,0000,,
Dialogue: 0,0:05:45.02,0:05:49.26,Default,,0000,0000,0000,,
Dialogue: 0,0:05:49.26,0:05:51.44,Default,,0000,0000,0000,,
Dialogue: 0,0:05:51.44,0:05:54.91,Default,,0000,0000,0000,,
Dialogue: 0,0:05:54.91,0:05:57.29,Default,,0000,0000,0000,,
Dialogue: 0,0:05:57.29,0:05:59.56,Default,,0000,0000,0000,,
Dialogue: 0,0:05:59.56,0:06:01.52,Default,,0000,0000,0000,,
Dialogue: 0,0:06:01.52,0:06:03.69,Default,,0000,0000,0000,,
Dialogue: 0,0:06:03.69,0:06:06.73,Default,,0000,0000,0000,,
Dialogue: 0,0:06:06.73,0:06:09.78,Default,,0000,0000,0000,,
Dialogue: 0,0:06:09.78,0:06:12.73,Default,,0000,0000,0000,,
Dialogue: 0,0:06:12.73,0:06:15.38,Default,,0000,0000,0000,,
Dialogue: 0,0:06:15.38,0:06:17.52,Default,,0000,0000,0000,,
Dialogue: 0,0:06:17.52,0:06:19.93,Default,,0000,0000,0000,,
Dialogue: 0,0:06:19.93,0:06:23.28,Default,,0000,0000,0000,,
Dialogue: 0,0:06:23.28,0:06:25.10,Default,,0000,0000,0000,,
Dialogue: 0,0:06:25.10,0:06:27.04,Default,,0000,0000,0000,,
Dialogue: 0,0:06:27.04,0:06:29.16,Default,,0000,0000,0000,,
Dialogue: 0,0:06:29.16,0:06:31.42,Default,,0000,0000,0000,,
Dialogue: 0,0:06:31.42,0:06:33.90,Default,,0000,0000,0000,,
Dialogue: 0,0:06:33.90,0:06:35.59,Default,,0000,0000,0000,,
Dialogue: 0,0:06:35.59,0:06:37.88,Default,,0000,0000,0000,,
Dialogue: 0,0:06:37.88,0:06:39.75,Default,,0000,0000,0000,,
Dialogue: 0,0:06:39.75,0:06:42.94,Default,,0000,0000,0000,,
Dialogue: 0,0:06:42.94,0:06:44.61,Default,,0000,0000,0000,,
Dialogue: 0,0:06:44.61,0:06:46.71,Default,,0000,0000,0000,,
Dialogue: 0,0:06:46.71,0:06:50.09,Default,,0000,0000,0000,,
Dialogue: 0,0:06:50.09,0:06:52.19,Default,,0000,0000,0000,,
Dialogue: 0,0:06:52.19,0:06:54.22,Default,,0000,0000,0000,,
Dialogue: 0,0:06:54.22,0:06:55.62,Default,,0000,0000,0000,,
Dialogue: 0,0:06:55.62,0:06:59.21,Default,,0000,0000,0000,,
Dialogue: 0,0:06:59.21,0:07:00.77,Default,,0000,0000,0000,,
Dialogue: 0,0:07:00.77,0:07:03.30,Default,,0000,0000,0000,,
Dialogue: 0,0:07:03.30,0:07:05.41,Default,,0000,0000,0000,,