1 00:00:00,526 --> 00:00:01,573 大家好。 2 00:00:01,573 --> 00:00:03,683 我这里想做的是描述一下 3 00:00:03,683 --> 00:00:06,220 如何考虑三维图像。 4 00:00:06,220 --> 00:00:08,858 三维图像是我们表达 5 00:00:08,858 --> 00:00:10,255 某种多元函数的一种方式, 6 00:00:10,255 --> 00:00:12,156 那种函数有两个输入, 7 00:00:12,156 --> 00:00:14,539 或者一个二维输入, 8 00:00:14,539 --> 00:00:17,003 然后某种一维的输出。 9 00:00:17,003 --> 00:00:19,302 那么我这里画的是 10 00:00:19,302 --> 00:00:23,733 f(x,y)等于x的平方加上y平方。 11 00:00:23,733 --> 00:00:26,618 在我们讨论这个图像前, 12 00:00:26,618 --> 00:00:28,463 我认为用比喻会有用, 13 00:00:28,463 --> 00:00:30,380 我们看一看二维图像以及 14 00:00:30,380 --> 00:00:32,580 稍微提醒一下我们自己那些是怎么运作的, 15 00:00:32,580 --> 00:00:36,562 我们做的是什么,因为,它和 16 00:00:36,562 --> 00:00:38,876 三维的是一样的, 17 00:00:38,876 --> 00:00:41,148 但是它需要稍微多一点视觉化。 18 00:00:41,148 --> 00:00:43,365 那么二维图像, 19 00:00:43,365 --> 00:00:45,559 你知道它们有某种函数, 20 00:00:45,559 --> 00:00:49,726 让我们看一看你有f(x)等于x的平方, 21 00:00:51,086 --> 00:00:54,000 你视觉化一个函数的任何时候,你尝试 22 00:00:54,000 --> 00:00:55,554 理解输入和输出 23 00:00:55,554 --> 00:00:57,154 之间的关系。 24 00:00:57,154 --> 00:00:59,032 25 00:00:59,032 --> 00:01:00,873 26 00:01:00,873 --> 00:01:03,646 27 00:01:03,646 --> 00:01:07,351 28 00:01:07,351 --> 00:01:09,638 29 00:01:09,638 --> 00:01:11,506 30 00:01:11,506 --> 00:01:13,089 31 00:01:13,089 --> 00:01:17,571 32 00:01:17,571 --> 00:01:21,376 33 00:01:21,376 --> 00:01:24,476 34 00:01:24,476 --> 00:01:26,492 35 00:01:26,492 --> 00:01:30,189 36 00:01:30,189 --> 00:01:34,306 37 00:01:34,306 --> 00:01:36,973 38 00:01:39,221 --> 00:01:43,261 39 00:01:43,261 --> 00:01:45,862 40 00:01:45,862 --> 00:01:48,300 41 00:01:48,300 --> 00:01:50,383 42 00:01:51,586 --> 00:01:55,302 43 00:01:55,302 --> 00:01:59,159 44 00:01:59,159 --> 00:02:01,491 45 00:02:01,491 --> 00:02:04,232 46 00:02:04,232 --> 00:02:07,406 47 00:02:07,406 --> 00:02:09,813 48 00:02:09,813 --> 00:02:13,018 49 00:02:13,018 --> 00:02:17,185 50 00:02:18,828 --> 00:02:21,554 51 00:02:21,554 --> 00:02:23,272 52 00:02:23,272 --> 00:02:26,078 53 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