원근법과 수학

 

 

개요

• 사영기하학
• 선형원근법(linear perspective)
• 지평선 (horizon)
  
  • line at infinity
• 눈높이 (eye-level)
• 소실점 (vanishing point)
  
  • point at infinity

• 소실점의 종류 http://labica.springnote.com/pages/5317735

 

 

 

1점 원근법

• 그림출처 : http://www.fotopedia.com/en/Rail_tracks
  [/pages/4777527/attachments/3936431 flickr-2589723846-image.jpg]
  
• 서로서로 평행한 직선들은 한점에서 만난다. 아래 사진에서 4 철로는 모두 평행하며, 한점에서 만나는 것을 볼 수 있다
  [/pages/4777527/attachments/3936443 8v58rakkj0b14-AeVIvst_Pxo-image.jpg]
  
• http://www.infuture.kr/753

 

 

2점 소실점

• 2 Point Perspective Tutorial - Mechanical Drawing Perspective Grid

 

• 3점 소실점
  

 

 

역사

 

• http://www.google.com/search?hl=en&tbs=tl:1&q=projective+geometry+perspective+drawing
• 수학사연표
•  

 

 

 

메모

• http://bomber0.byus.net/index.php/2007/11/19/471
• 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
• 도구
  
  • http://sketchup.google.com/
  • http://www.sketchupartists.org/tutorials/perspective-drawing-from-sketchup/
  • http://jimleggitt.typepad.com/jim-leggitt-drawing-shortcuts/2010/02/creating-perspectives-with-sketchup.html 
    

 

 

관련된 항목들

• 수학과 미술
• 타원과 인간

 

 

수학용어번역

• point at infinity 무한원점
• http://www.google.com/dictionary?langpair=en|ko&q=무한원점
• 대한수학회 수학 학술 용어집
  
  • http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=infinity
• 대한수학회 수학용어한글화 게시판

 

 

사전 형태의 자료

• http://ko.wikipedia.org/wiki/원근법
• 소실점 (엔싸이버 백과검색)
• http://newdle.edupia.com/xmlView.aspx?xmldid=22116#p2
• [1]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
  
  • http://www.research.att.com/~njas/sequences/?q=

 

 

관련논문

• http://www.jstor.org/action/doBasicSearch?Query=perspective+drawing+projective
• http://www.jstor.org/action/doBasicSearch?Query=
• http://dx.doi.org/

 

 

관련도서

• Perspective Drawing Handbook
• The Geometry of an Art The History of the Mathematical Theory of Perspective from Alberti to Monge
  
  • Kirsti Andersen
• Foundations of Projective Geometry
  
  • Robin Hartshorne
• 도서내검색
  
  • http://books.google.com/books?q=
  • http://book.daum.net/search/contentSearch.do?query=
• 도서검색
  
  • http://books.google.com/books?q=
  • http://book.daum.net/search/mainSearch.do?query=
  • http://book.daum.net/search/mainSearch.do?query=

 

 

 

관련링크와 웹페이지

• The Geometry of Perspective Drawing on the Computer
  

 

 

관련기사

• [김영나의 서양미술산책 [21] 원근법]
  
  • 김영나, 원근법, 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=

 

 

블로그

• 구글 블로그 검색
  
  • http://blogsearch.google.com/blogsearch?q=
• 네이버 오늘의과학
• 수학동아
• Mathematical Moments from the AMS
• BetterExplained