원근법과 수학
이 항목의 스프링노트 원문주소==
개요==
- 사영기하학
- 선형원근법(linear perspective)
- 지평선 (horizon)
- 사영평면에서는 line at infinity 라 한다
- 눈높이 (eye-level)
- 소실점 (vanishing point)
- 사영평면에서는 point at infinity라 한다
마스카니 테라스(Terrazza Mascagni)
- 토스카나 리보르노
- 평행선들은 소실점 (vanishing point)에서 만나며, 소실점이 지평선에 놓여 있음을 확인할 수 있다
- http://www.livornotop.com/servizi/foto/foto%20angelica/Livorno%20foto%20di%20Angelica.htm
[/pages/4777527/attachments/4150495 parallel_(2).jpg]
- http://livornodailyphoto.blogspot.com/2009/11/tiles.html
[/pages/4777527/attachments/3955941 0911150145.jpg]
1점 원근법
2점 원근법
3점 원근법
역사
- http://www.dartmouth.edu/~matc/math5.geometry/unit11/unit11.html
- http://www.tfaoi.com/aa/3aa/3aa127.htm
- 지오토(1267 - 1337)
- 브루넬레스키(1377 - 1446)
- 도나텔로
- 원근법이 활용된 조각 Feast of Herod
- 마사치오(1401 - 1428)
- 원근법이 활용된 첫번째 회화작품 http://en.wikipedia.org/wiki/Holy_Trinity_(Masaccio)
- 알베르티(1404 -1472)
- 투시원근법에 대한 첫 교과서 출판 Della pittura (1435)
- 체커보드의 원근법
- 피에로 델라 프란체스카(1415- 1492)
- 1474년 De Prospectiva Pingendi (On the perspective of painting) 출판
- Flagellation of Christ (Piero della Francesca)
- 알브레히트 뒤러(1471 - 1528)
- http://virtualterritory.wordpress.com/2008/10/02/a-page-out-of-durers-own-copy-of-the-painters-manual/
- [1]http://architecturalphotogrammetry.wordpress.com/2010/03/03/understanding-photogrammetry-thanks-to-albrecht-durer/
- http://commons.wikimedia.org/wiki/File:D%C3%BCrer_-_Zeichner_und_Akt.jpg
- http://virtualterritory.wordpress.com/2008/10/05/one-of-duerers-prints-in-the-context-of-gender-feminism-and-other-theories/
- 데자르그(1591–1661)
- 파스칼(1623 –1662)
- 베르미어(1632-1675)
- 카메라 옵스큐라의 사용
- [2]http://www.flickr.com/photos/arisan/4002462708/
- Gaspard Monge (1746-1818)
- 퐁슬레(1788-1867)
- 1822년 Traite des proprietes ...
- Karl Georg Christian von Staudt(1798-1867)
- http://www.google.com/search?hl=en&tbs=tl:1&q=linear+perspective
- http://www.google.com/search?hl=en&tbs=tl:1&q=projective+geometry+perspective+drawing
- http://www.google.com/search?hl=en&tbs=tl:1&q=costruzione+legittima
- 수학사연표
-
메모
- 소실점의 종류 http://labica.springnote.com/pages/5317735
- Basic Principles Of Perspective Drawing For The Technical Illustrator
- Kevin Hulsey
- A Note on the Mathematics of Two- and Three- Point Perspective
- Brian A. Barsky
- total internal reflection http://wordpress.mrreid.org/2012/09/11/my-favourite-photograph-from-the-2012-olympics/
- 도구
관련된 항목들
수학용어번역==
- point at infinity 무한원점
- http://www.google.com/dictionary?langpair=en|ko&q=무한원점
- 대한수학회 수학 학술 용어집
- 대한수학회 수학용어한글화 게시판
사전 형태의 자료
- http://ko.wikipedia.org/wiki/원근법
- 소실점 (두산백과)
- http://newdle.edupia.com/xmlView.aspx?xmldid=22116#p2
- http://en.wikipedia.org/wiki/Perspective_(graphical)
- http://en.wikipedia.org/wiki/Vanishing_point
- http://en.wikipedia.org/wiki/Worm%27s-eye_view
- http://en.wikipedia.org/wiki/
- http://www.wolframalpha.com/input/?i=
- NIST Digital Library of Mathematical Functions
- The On-Line Encyclopedia of Integer Sequences
관련논문
- Alberti's Perspective: A Mathematical CommentJudy Green and Paul S. Green, The Art Bulletin, Vol. 69, No. 4 (Dec., 1987), pp. 641-645
- Ptolemy and the Origins of Linear PerspectiveKim H. Veltman, 1980
- L. B. ALBERTI'S ‘COSTRUZIONE LEGITTIMA’Grayson, C., Italian Studies, Volume 19, 1964 , pp. 14-27(14)
- http://www.jstororg/action/doBasicSearch?Query=perspective+drawing+projective
- http://www.jstor.org/action/doBasicSearch?Query=
- http://dx.doi.org/10.1007/s00004-002-0005-5
관련도서
- Perspective Drawing Handbook
- Piero Della Francesca: a mathematician's art
- The Geometry of an Art The History of the Mathematical Theory of Perspective from Alberti to MongeKirsti Andersen
- The Science of Art: Optical Themes in Western Art from Brunelleschi to Seurat
- Foundations of Projective Geometry
- Robin Hartshorne
- The Renaissance rediscovery of linear perspective
- Edgerton, Samuel Y. Basic Books, c1975.
관련링크와 웹페이지==
- Alberti's Perspective Construction
- AMS Feature Column
관련기사
- [김영나의 서양미술산책 [21] 원근법] 김영나, 조선, 2009-9-22
- [생활속의 수학 원근법 이론무장은 `사영기하학` 덕] 박경미, 중앙일보, 2003-8-20
- 네이버 뉴스 검색 (키워드 수정)
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=수학원근법
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=소실점
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=미술사영기하학
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=알베르티원근법
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
블로그
- 사영기하학
- 선형원근법(linear perspective)
- 지평선 (horizon)
- 사영평면에서는 line at infinity 라 한다
- 눈높이 (eye-level)
- 소실점 (vanishing point)
- 사영평면에서는 point at infinity라 한다
[/pages/4777527/attachments/4150495 parallel_(2).jpg]
- 원근법이 활용된 조각 Feast of Herod
- 원근법이 활용된 첫번째 회화작품 http://en.wikipedia.org/wiki/Holy_Trinity_(Masaccio)
- 투시원근법에 대한 첫 교과서 출판 Della pittura (1435)
- 체커보드의 원근법
- 1474년 De Prospectiva Pingendi (On the perspective of painting) 출판
- Flagellation of Christ (Piero della Francesca)
- http://virtualterritory.wordpress.com/2008/10/02/a-page-out-of-durers-own-copy-of-the-painters-manual/
- [1]http://architecturalphotogrammetry.wordpress.com/2010/03/03/understanding-photogrammetry-thanks-to-albrecht-durer/
- http://commons.wikimedia.org/wiki/File:D%C3%BCrer_-_Zeichner_und_Akt.jpg
- http://virtualterritory.wordpress.com/2008/10/05/one-of-duerers-prints-in-the-context-of-gender-feminism-and-other-theories/
- 카메라 옵스큐라의 사용
- [2]http://www.flickr.com/photos/arisan/4002462708/
- 1822년 Traite des proprietes ...
- Kevin Hulsey
- Brian A. Barsky
- point at infinity 무한원점
- http://www.google.com/dictionary?langpair=en|ko&q=무한원점
- 대한수학회 수학 학술 용어집
- 대한수학회 수학용어한글화 게시판
사전 형태의 자료
- http://ko.wikipedia.org/wiki/원근법
- 소실점 (두산백과)
- http://newdle.edupia.com/xmlView.aspx?xmldid=22116#p2
- http://en.wikipedia.org/wiki/Perspective_(graphical)
- http://en.wikipedia.org/wiki/Vanishing_point
- http://en.wikipedia.org/wiki/Worm%27s-eye_view
- http://en.wikipedia.org/wiki/
- http://www.wolframalpha.com/input/?i=
- NIST Digital Library of Mathematical Functions
- The On-Line Encyclopedia of Integer Sequences
관련논문
- Alberti's Perspective: A Mathematical CommentJudy Green and Paul S. Green, The Art Bulletin, Vol. 69, No. 4 (Dec., 1987), pp. 641-645
- Ptolemy and the Origins of Linear PerspectiveKim H. Veltman, 1980
- L. B. ALBERTI'S ‘COSTRUZIONE LEGITTIMA’Grayson, C., Italian Studies, Volume 19, 1964 , pp. 14-27(14)
- http://www.jstororg/action/doBasicSearch?Query=perspective+drawing+projective
- http://www.jstor.org/action/doBasicSearch?Query=
- http://dx.doi.org/10.1007/s00004-002-0005-5
관련도서
- Perspective Drawing Handbook
- Piero Della Francesca: a mathematician's art
- The Geometry of an Art The History of the Mathematical Theory of Perspective from Alberti to MongeKirsti Andersen
- The Science of Art: Optical Themes in Western Art from Brunelleschi to Seurat
- Foundations of Projective Geometry
- Robin Hartshorne
- The Renaissance rediscovery of linear perspective
- Edgerton, Samuel Y. Basic Books, c1975.
관련링크와 웹페이지==
- Alberti's Perspective Construction
- AMS Feature Column
관련기사
- [김영나의 서양미술산책 [21] 원근법] 김영나, 조선, 2009-9-22
- [생활속의 수학 원근법 이론무장은 `사영기하학` 덕] 박경미, 중앙일보, 2003-8-20
- 네이버 뉴스 검색 (키워드 수정)
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=수학원근법
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=소실점
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=미술사영기하학
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=알베르티원근법
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
블로그
- AMS Feature Column
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=수학원근법
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=소실점
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=미술사영기하학
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=알베르티원근법
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=