{"topic":{"id":6656,"title":"实验 2.2 软光栅化渲染器 MVP 矩阵","slug":"topic","categoryId":56,"createdAt":"2023-10-25 03:38:47.955382","bumpedAt":"2023-10-25 13:41:12.686991","views":274,"postsCount":4,"highestPostNumber":4,"likeCount":0,"closed":true,"pinned":false,"pinnedGlobally":false,"pinnedAt":null,"pinnedUntil":null,"isBanner":false,"excerpt":"为什么将顶点世界坐标乘上 MVP 矩阵后 w 分量不为 1","deletedAt":null,"isAnonymous":false,"category":{"id":56,"name":"计算机图形学","slug":"cg","color":"92278F"},"author":{"id":1638,"username":"qianyu","name":null,"avatarUrl":null},"tags":[]},"posts":[{"id":14425,"postNumber":1,"raw":"为什么将顶点世界坐标乘上 MVP 矩阵后 w 分量不为 1","cooked":"

为什么将顶点世界坐标乘上 MVP 矩阵后 w 分量不为 1

\n","createdAt":"2023-10-25 03:38:48.064499","updatedAt":"2023-10-25 03:38:48.064499","replyToPostNumber":null,"replyCount":0,"likeCount":0,"wordCount":22,"liked":false,"bookmarked":false,"polls":[],"reactions":[],"wiki":false,"version":1,"publicVersion":1,"deletedAt":null,"isAnonymous":false,"user":{"id":1638,"username":"qianyu","name":null,"avatarUrl":null,"admin":false,"moderator":false,"signatureRaw":null,"signatureCooked":null}},{"id":14427,"postNumber":2,"raw":"你可以去看看 MVP 矩阵的具体公式，应该对理解有帮助\n![image|525x230](/uploads/image/78/38/783867888462549e38684f908ee62a78fbc19da82c2e6f85ff2a4a3792b62714.avif)","cooked":"

你可以去看看 MVP 矩阵的具体公式，应该对理解有帮助
\n $\"image\"$

\n","createdAt":"2023-10-25 04:18:55.811375","updatedAt":"2023-10-25 04:18:55.811375","replyToPostNumber":null,"replyCount":0,"likeCount":0,"wordCount":24,"liked":false,"bookmarked":false,"polls":[],"reactions":[],"wiki":false,"version":1,"publicVersion":1,"deletedAt":null,"isAnonymous":false,"user":{"id":1489,"username":"yuanyouwen","name":"yuanyouwen","avatarUrl":null,"admin":false,"moderator":false,"signatureRaw":null,"signatureCooked":null}},{"id":14434,"postNumber":3,"raw":"乘 MVP 矩阵之后还要做透视除法","cooked":"

乘 MVP 矩阵之后还要做透视除法

\n","createdAt":"2023-10-25 11:11:57.952175","updatedAt":"2023-10-25 11:11:57.952175","replyToPostNumber":null,"replyCount":0,"likeCount":0,"wordCount":13,"liked":false,"bookmarked":false,"polls":[],"reactions":[],"wiki":false,"version":1,"publicVersion":1,"deletedAt":null,"isAnonymous":false,"user":{"id":1525,"username":"222333","name":"Hadeon","avatarUrl":null,"admin":false,"moderator":false,"signatureRaw":null,"signatureCooked":null}},{"id":14447,"postNumber":4,"raw":"三维空间中的投影变换本来就是非线性的，只有放在四维空间中才能写成线性形式，所以投影后的齐次坐标也不再能保持 $w=1$ 了。建议复习一下课堂内容关于齐次坐标和透视除法的部分，文档里应该也有提及，还不理解可以去看 GAMES 101 或者博客文章。","cooked":"

三维空间中的投影变换本来就是非线性的，只有放在四维空间中才能写成线性形式，所以投影后的齐次坐标也不再能保持 $w=1$ 了。建议复习一下课堂内容关于齐次坐标和透视除法的部分，文档里应该也有提及，还不理解可以去看 GAMES 101 或者博客文章。

\n","createdAt":"2023-10-25 13:41:12.686991","updatedAt":"2023-10-25 13:41:12.686991","replyToPostNumber":null,"replyCount":0,"likeCount":0,"wordCount":108,"liked":false,"bookmarked":false,"polls":[],"reactions":[],"wiki":false,"version":1,"publicVersion":1,"deletedAt":null,"isAnonymous":false,"user":{"id":1381,"username":"greyishsong","name":"greyishsong","avatarUrl":"/uploads/image/da/bc/dabc731b0311f59850625bbeb55ed969fcfac0430c5ef0f68441e5466b7aa496.avif","admin":false,"moderator":true,"signatureRaw":null,"signatureCooked":null}}],"hasMore":false,"lastReadPostNumber":1,"hasUrlPostNumber":false}