{"id":259,"date":"2026-01-22T01:20:50","date_gmt":"2026-01-22T01:20:50","guid":{"rendered":"https:\/\/arttao.net\/?page_id=259"},"modified":"2026-04-17T04:38:18","modified_gmt":"2026-04-17T04:38:18","slug":"a%e3%80%81cau-truc-nhan-thuc-cua-nghe-thuat-truu-tuong-hinh-hoc-2","status":"publish","type":"page","link":"https:\/\/arttao.net\/vi\/a%e3%80%81%e5%87%a0%e4%bd%95%e6%8a%bd%e8%b1%a1%e8%89%ba%e6%9c%af%e7%9a%84%e8%ae%a4%e7%9f%a5%e7%bb%93%e6%9e%84-2\/","title":{"rendered":"A. C\u1ea5u tr\u00fac nh\u1eadn th\u1ee9c c\u1ee7a ngh\u1ec7 thu\u1eadt tr\u1eebu t\u01b0\u1ee3ng h\u00ecnh h\u1ecdc"},"content":{"rendered":"
\n
\n

A1. M\u1ee5c \u0111\u00edch c\u1ed1t l\u00f5i<\/p>\n\n\n\n

<\/div>\n\n\n\n

N\u1ebfu ch\u00fang ta \u0111\u00e3 t\u00ecm hi\u1ec3u \u201cl\u00e0m th\u1ebf n\u00e0o\u201d b\u1ed9 n\u00e3o x\u1eed l\u00fd th\u00f4ng tin tr\u1eebu t\u01b0\u1ee3ng h\u00ecnh h\u1ecdc, th\u00ec b\u00e2y gi\u1edd ch\u00fang ta c\u1ea7n \u0111\u1eb7t ra m\u1ed9t c\u00e2u h\u1ecfi s\u00e2u s\u1eafc h\u01a1n: \u201cT\u1ea1i sao\u201d? T\u1ea1i sao t\u00e2m tr\u00ed con ng\u01b0\u1eddi, v\u00e0o m\u1ed9t th\u1eddi \u0111i\u1ec3m l\u1ecbch s\u1eed nh\u1ea5t \u0111\u1ecbnh, l\u1ea1i \u0111\u1ed9t nhi\u00ean khao kh\u00e1t h\u00ecnh th\u1ee9c l\u1ea1nh l\u00f9ng n\u00e0y, lo\u1ea1i b\u1ecf m\u1ecdi c\u1ea3m x\u00fac v\u00e0 c\u00e2u chuy\u1ec7n? C\u1ea5u tr\u00fac nh\u1eadn th\u1ee9c c\u1ee7a ngh\u1ec7 thu\u1eadt tr\u1eebu t\u01b0\u1ee3ng h\u00ecnh h\u1ecdc, m\u1ee5c \u0111\u00edch c\u1ed1t l\u00f5i c\u1ee7a n\u00f3 r\u1ed1t cu\u1ed9c l\u00e0 g\u00ec?<\/p>\n<\/div>\n\n\n\n

<\/div>\n\n\n\n
\"\"<\/figure>\n\n\n\n

A1. M\u1ee5c \u0111\u00edch c\u1ed1t l\u00f5i<\/strong><\/a><\/p>\n\n\n\n

<\/div>\n\n\n\n

C\u1ea5u tr\u00fac nh\u1eadn th\u1ee9c c\u1ee7a ngh\u1ec7 thu\u1eadt tr\u1eebu t\u01b0\u1ee3ng h\u00ecnh h\u1ecdc<\/p>\n\n\n\n

<\/div>\n\n\n\n
\n
\n

A2-1. \u0110\u1ecbnh ngh\u0129a c\u01a1 b\u1ea3n v\u1ec1 ngh\u1ec7 thu\u1eadt tr\u1eebu t\u01b0\u1ee3ng h\u00ecnh h\u1ecdc<\/a><\/p>\n\n\n\n

Ngh\u1ec7 thu\u1eadt tr\u1eebu t\u01b0\u1ee3ng h\u00ecnh h\u1ecdc l\u1ea5y c\u00e1c \u0111i\u1ec3m, \u0111\u01b0\u1eddng, m\u1eb7t v\u00e0 m\u1ea3ng m\u00e0u l\u00e0m ng\u00f4n ng\u1eef c\u1ed1t l\u00f5i, lo\u1ea1i b\u1ecf c\u00e1c y\u1ebfu t\u1ed1 k\u1ec3 chuy\u1ec7n c\u1ee5 th\u1ec3, th\u00f4ng qua c\u1ea5u tr\u00fac l\u00fd tr\u00ed v\u00e0 tr\u1eadt t\u1ef1 h\u00ecnh th\u1ee9c \u0111\u1ec3 kh\u00e1m ph\u00e1 s\u1ef1 th\u1ed1ng nh\u1ea5t c\u1ee7a b\u1ea3n ch\u1ea5t th\u1ecb gi\u00e1c, m\u1ed1i quan h\u1ec7 kh\u00f4ng gian v\u00e0 bi\u1ec3u \u0111\u1ea1t tinh th\u1ea7n.<\/p>\n\n\n\n

\"\"<\/figure>\n<\/div>\n\n\n\n
\n

A2-2. T\u1ed5ng quan l\u1ecbch s\u1eed ngh\u1ec7 thu\u1eadt tr\u1eebu t\u01b0\u1ee3ng h\u00ecnh h\u1ecdc<\/a><\/p>\n\n\n\n

T\u1eeb ch\u1ee7 ngh\u0129a hi\u1ec7n \u0111\u1ea1i \u0111\u1ebfn th\u1eddi \u0111\u1ea1i k\u1ef9 thu\u1eadt s\u1ed1, ngh\u1ec7 thu\u1eadt tr\u1eebu t\u01b0\u1ee3ng h\u00ecnh h\u1ecdc \u0111\u00e3 chuy\u1ec3n t\u1eeb vi\u1ec7c nh\u1ea5n m\u1ea1nh h\u00ecnh th\u1ee9c thu\u1ea7n t\u00fay v\u00e0 tr\u1eadt t\u1ef1 l\u00fd tr\u00ed sang vi\u1ec7c k\u1ebft h\u1ee3p thu\u1eadt to\u00e1n, t\u00ednh t\u01b0\u01a1ng t\u00e1c v\u00e0 c\u00e1c h\u1ec7 th\u1ed1ng sinh th\u00e0nh; logic n\u1ed9i t\u1ea1i c\u1ee7a n\u00f3 \u0111\u00e3 chuy\u1ec3n t\u1eeb \u201cdo con ng\u01b0\u1eddi t\u1ea1o ra\u201d sang \u201cs\u1ef1 s\u00e1ng t\u1ea1o c\u1ed9ng t\u00e1c gi\u1eefa con ng\u01b0\u1eddi v\u00e0 m\u00e1y m\u00f3c\u201d, t\u1eeb b\u1ed1 c\u1ee5c t\u0129nh sang s\u1ef1 ti\u1ebfn h\u00f3a \u0111\u1ed9ng.<\/p>\n\n\n\n

<\/div>\n\n\n\n
\"\"<\/figure>\n<\/div>\n\n\n\n
\n

A2-3. C\u00e1c giai \u0111o\u1ea1n ph\u00e1t tri\u1ec3n v\u00e0 b\u01b0\u1edbc ngo\u1eb7t quan tr\u1ecdng c\u1ee7a ngh\u1ec7 thu\u1eadt tr\u1eebu t\u01b0\u1ee3ng h\u00ecnh h\u1ecdc<\/a><\/p>\n\n\n\n

Trong qu\u00e1 tr\u00ecnh ph\u00e1t tri\u1ec3n h\u01a1n m\u1ed9t th\u1ebf k\u1ef7, ngh\u1ec7 thu\u1eadt tr\u1eebu t\u01b0\u1ee3ng h\u00ecnh h\u1ecdc \u0111\u00e3 tr\u1ea3i qua nh\u1eefng giai \u0111o\u1ea1n t\u1eeb th\u1eed nghi\u1ec7m ti\u00ean phong ban \u0111\u1ea7u \u0111\u1ebfn vi\u1ec7c x\u00e2y d\u1ef1ng phong c\u00e1ch c\u00f3 h\u1ec7 th\u1ed1ng, v\u00e0 sau \u0111\u00f3 l\u00e0 s\u1ef1 chuy\u1ec3n \u0111\u1ed5i sang k\u1ef7 nguy\u00ean s\u1ed1 v\u1edbi s\u1ef1 h\u1ed7 tr\u1ee3 c\u1ee7a ph\u01b0\u01a1ng ti\u1ec7n k\u1ef9 thu\u1eadt s\u1ed1 v\u00e0 thu\u1eadt to\u00e1n sinh t\u1ea1o. Nh\u1eefng b\u01b0\u1edbc ngo\u1eb7t quan tr\u1ecdng n\u00e0y b\u1eaft ngu\u1ed3n t\u1eeb nh\u1eefng thay \u0111\u1ed5i v\u1ec1 c\u00f4ng ngh\u1ec7, s\u1ef1 gi\u1ea3i ph\u00f3ng t\u01b0 t\u01b0\u1edfng v\u00e0 s\u1ef1 b\u1ee9t ph\u00e1 kh\u00f4ng ng\u1eebng c\u1ee7a c\u00e1c ngh\u1ec7 s\u0129 trong vi\u1ec7c m\u1edf r\u1ed9ng ranh gi\u1edbi c\u1ee7a ng\u00f4n ng\u1eef h\u00ecnh th\u1ee9c.<\/p>\n\n\n\n

\"\"<\/figure>\n<\/div>\n<\/div>\n\n\n\n
<\/div>\n\n\n\n
<\/div>\n\n\n\n
\n
\n

A2-4. \u0110i\u1ec1u ki\u1ec7n l\u1ecbch s\u1eed ra \u0111\u1eddi c\u1ee7a ngh\u1ec7 thu\u1eadt tr\u1eebu t\u01b0\u1ee3ng h\u00ecnh h\u1ecdc<\/a><\/p>\n\n\n\n

S\u1ef1 ra \u0111\u1eddi c\u1ee7a ngh\u1ec7 thu\u1eadt tr\u1eebu t\u01b0\u1ee3ng h\u00ecnh h\u1ecdc kh\u00f4ng ph\u1ea3i l\u00e0 ng\u1eabu nhi\u00ean, m\u00e0 l\u00e0 k\u1ebft qu\u1ea3 c\u1ee7a s\u1ef1 k\u1ebft h\u1ee3p gi\u1eefa qu\u00e1 tr\u00ecnh c\u00f4ng nghi\u1ec7p h\u00f3a, s\u1ef1 tr\u1ed7i d\u1eady c\u1ee7a l\u00fd tr\u00ed khoa h\u1ecdc v\u00e0 s\u1ef1 tan r\u00e3 c\u1ee7a h\u1ec7 th\u1ed1ng bi\u1ec3u \u0111\u1ea1t truy\u1ec1n th\u1ed1ng. Nhi\u1ebfp \u1ea3nh \u0111\u00e3 gi\u1ea3i ph\u00f3ng h\u1ed9i h\u1ecda kh\u1ecfi ch\u1ee9c n\u0103ng t\u00e1i hi\u1ec7n, trong khi c\u00e1c kh\u00e1i ni\u1ec7m tri\u1ebft h\u1ecdc v\u00e0 to\u00e1n h\u1ecdc hi\u1ec7n \u0111\u1ea1i \u0111\u1ecbnh h\u00ecnh l\u1ea1i \u00fd th\u1ee9c v\u1ec1 h\u00ecnh th\u1ee9c, cho ph\u00e9p c\u00e1c ngh\u1ec7 s\u0129 chuy\u1ec3n t\u1eeb m\u00f4 ph\u1ecfng t\u1ef1 nhi\u00ean sang kh\u00e1m ph\u00e1 c\u1ea5u tr\u00fac thu\u1ea7n t\u00fay.<\/p>\n\n\n\n

\"\"<\/figure>\n<\/div>\n\n\n\n
\n

A2-5. Ba con \u0111\u01b0\u1eddng logic c\u1ed1t l\u00f5i c\u1ee7a tr\u1eebu t\u01b0\u1ee3ng h\u00f3a h\u00ecnh h\u1ecdc<\/a><\/p>\n\n\n\n

S\u1ef1 ph\u00e1t tri\u1ec3n c\u1ee7a tr\u1eebu t\u01b0\u1ee3ng h\u00ecnh h\u1ecdc c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c t\u00f3m t\u1eaft th\u00e0nh ba con \u0111\u01b0\u1eddng logic c\u1ed1t l\u00f5i: con \u0111\u01b0\u1eddng l\u00fd t\u00ednh h\u00ecnh th\u1ee9c l\u1ea5y tr\u1eadt t\u1ef1 v\u00e0 t\u1ef7 l\u1ec7 l\u00e0m b\u1ea3n ch\u1ea5t c\u1ed1t l\u00f5i, con \u0111\u01b0\u1eddng bi\u1ec3u \u0111\u1ea1t tinh th\u1ea7n h\u01b0\u1edbng t\u1edbi c\u1ea3m x\u00fac v\u00e0 bi\u1ec3u t\u01b0\u1ee3ng, v\u00e0 con \u0111\u01b0\u1eddng c\u1ea5u tr\u00fac sinh theo thu\u1eadt to\u00e1n v\u00e0 h\u1ec7 th\u1ed1ng, ba con \u0111\u01b0\u1eddng n\u00e0y \u0111an xen v\u00e0 \u0111\u1ecbnh h\u00ecnh ng\u00f4n ng\u1eef h\u00ecnh h\u1ecdc \u0111\u01b0\u01a1ng \u0111\u1ea1i.<\/p>\n\n\n\n

\"\"<\/figure>\n<\/div>\n\n\n\n
\n

A2-6. S\u1ef1 d\u1ecbch chuy\u1ec3n m\u00f4 h\u00ecnh t\u1eeb ch\u1ee7 ngh\u0129a hi\u1ec7n \u0111\u1ea1i sang k\u1ef7 nguy\u00ean s\u1ed1: logic n\u1ed9i t\u1ea1i<\/a><\/p>\n\n\n\n

T\u1eeb ch\u1ee7 ngh\u0129a hi\u1ec7n \u0111\u1ea1i \u0111\u1ebfn th\u1eddi \u0111\u1ea1i k\u1ef9 thu\u1eadt s\u1ed1, ngh\u1ec7 thu\u1eadt tr\u1eebu t\u01b0\u1ee3ng h\u00ecnh h\u1ecdc \u0111\u00e3 chuy\u1ec3n t\u1eeb vi\u1ec7c nh\u1ea5n m\u1ea1nh h\u00ecnh th\u1ee9c thu\u1ea7n t\u00fay v\u00e0 tr\u1eadt t\u1ef1 l\u00fd tr\u00ed sang vi\u1ec7c k\u1ebft h\u1ee3p thu\u1eadt to\u00e1n, t\u00ednh t\u01b0\u01a1ng t\u00e1c v\u00e0 c\u00e1c h\u1ec7 th\u1ed1ng sinh th\u00e0nh; logic n\u1ed9i t\u1ea1i c\u1ee7a n\u00f3 \u0111\u00e3 chuy\u1ec3n t\u1eeb \u201cdo con ng\u01b0\u1eddi t\u1ea1o ra\u201d sang \u201cs\u1ef1 s\u00e1ng t\u1ea1o c\u1ed9ng t\u00e1c gi\u1eefa con ng\u01b0\u1eddi v\u00e0 m\u00e1y m\u00f3c\u201d, t\u1eeb b\u1ed1 c\u1ee5c t\u0129nh sang s\u1ef1 ti\u1ebfn h\u00f3a \u0111\u1ed9ng.<\/p>\n\n\n\n

\"\"<\/figure>\n<\/div>\n<\/div>\n\n\n\n
<\/div>\n\n\n\n

A3-1. B\u00e0i ki\u1ec3m tra v\u1ec1 c\u1ea5u tr\u00fac nh\u1eadn th\u1ee9c<\/p>\n\n\n

Vui l\u00f2ng \u0111\u0103ng nh\u1eadp tr\u01b0\u1edbc khi s\u1eed d\u1ee5ng h\u1ec7 th\u1ed1ng \u0111\u00e1nh gi\u00e1.<\/div><\/div>\n\n\n\n

Thi\u1ebft k\u1ebf ch\u1ec9 \u0111\u01b0\u1ee3c g\u1eedi m\u1ed9t l\u1ea7n, vui l\u00f2ng suy ngh\u0129 k\u1ef9 tr\u01b0\u1edbc khi nh\u1ea5n n\u00fat g\u1eedi. G\u1eedi nhi\u1ec1u l\u1ea7n s\u1ebd b\u1ecb tr\u1eeb \u0111i\u1ec3m v\u00e0 \u1ea3nh h\u01b0\u1edfng \u0111\u1ebfn k\u1ebft qu\u1ea3 \u0111\u00e1nh gi\u00e1 gi\u1ea3i th\u01b0\u1edfng!<\/p>\n\n\n\n

<\/div>\n\n\n\n

<\/p>\n\n\n\n

A3. H\u1ec7 th\u1ed1ng t\u01b0\u01a1ng t\u00e1c c\u1ea5u tr\u00fac nh\u1eadn th\u1ee9c AI<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n