Area subdivision algorithm
The Warnock algorithm is a hidden surface algorithm invented by John Warnock that is typically used in the field of computer graphics. It solves the problem of rendering a complicated image by recursive subdivision of a scene until areas are obtained that are trivial to compute. In other words, if the scene is simple enough to compute efficiently then it is rendered; otherwise it is divided into smaller parts which are likewise tested for simplicity.
This is a divide and conquer algorithm with run-time of , where n is the number of polygons and p is the number of pixels in the viewport.
The inputs are a list of polygons and a viewport. The best case is that if the list of polygons is simple, then draw the polygons in the viewport. Simple is defined as one polygon (then the polygon or its part is drawn in appropriate part of a viewport) or a viewport that is one pixel in size (then that pixel gets a color of the polygon closest to the observer). The continuous step is to split the viewport into 4 equally sized quadrants and to recursively call the algorithm for each quadrant, with a polygon list modified such that it only contains polygons that are visible in that quadrant.

This is an excerpt from the article Area subdivision algorithm from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
The article Area subdivision algorithm at en.wikipedia.org was accessed 6 times in the last 30 days. (as of: 10/23/2014)
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Subdivision surface - Wikipedia, the free encyclopedia
A subdivision surface, in the field of 3D computer graphics, is a method of representing a smooth surface via the specification of a coarser piecewise linear  ...
en.wikipedia.org/wiki/Subdivision_surface
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Warnock algorithm - Wikipedia, the free encyclopedia
The Warnock algorithm is a hidden surface algorithm invented by John Warnock that ... subdivision of a scene until areas are obtained that are trivial to compute.
en.wikipedia.org/wiki/Warnock_algorithm
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Hidden Surface elimination: Area Subdivision or Warnock's Algorithm
Oct 7, 2012 ... 1) Initialize the area. 2) Create list of polygons by sorting them with their z values of vertices. Eliminate disjoint polygons (polygons which are ...
www.moreprocess.com/computer-graphics/hidden-surface-elimination-area-subdivision-or-warnocks-algorithm
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Translation of Area subdivision algorithm in English
Translation of Area subdivision algorithm in English. Translate Area subdivision algorithm in English online and download now our free translator to use any time  ...
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9.6 Area Subdivision Algorithms
The area-subdivision method takes advantage of area coherence in a scene by ... The total viewing area is successively divided into smaller and smaller ...
www.cs.cityu.edu.hk/~helena/cs31622000A/Notes06.pdf
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A Quick Introduction to Subdivision Surfaces - Holmes3D.net
Subdivision surfaces are polygon mesh surfaces generated from a base mesh ... and the third NURMS mode, have advanced parameters that affect how the algorithm is applied. .... Subdivision surfaces are an active area of research at the lab.
www.holmes3d.net/graphics/subdivision/
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Visible Surface Algorithm
Visible Surface Determination. • Depth Sort (Painter Algorithm). • Binary Space Partitioning Tree. • Area subdivision algorithms (Warnock's) ...
www.cs.brandeis.edu/~cs155/Lecture_15.pdf
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Area subdivision algorithm in science
Warnock algorithm - Wikipedia, the free encyclopedia
The Warnock algorithm is a hidden surface algorithm invented by John ... It solves the problem of rendering a complicated image by recursive subdivision of a scene until areas are obtained that are trivial to compute. ... University of Utah.
[PDF]Smooth Subdivision Surfaces Based on Triangles - Microsoft ...
The method is based on a recursive subdivision process that reﬁnes .... associated with the Mathematics department at the University of Utah: my advisers.
The New Area Subdivision Methods for Producing Shapes of ...
The New Area Subdivision Methods for Producing Shapes of Colored Paper Mosaic ... The previous method [12] did not produce satisfactory results due to the ... Faculty of Science, Section Computational Science, University of Amsterdam; 5 .
A Quick Introduction to Subdivision Surfaces - Holmes3D.net
Subdivision surfaces are polygon mesh surfaces generated from a base mesh ... third NURMS mode, have advanced parameters that affect how the algorithm is applied. .... of the on-line computer graphics notes pages from the University of California, Davis. ... Subdivision surfaces are an active area of research at the lab .
[PDF]Ed Catmull's Ph.D. thesis - The Pixar Touch
A SUBDIVISION ALGORITHM FOR COMPUTER. DISPLAY OF CURVED ... University of Utah in Parlial Fulfillment of the requlyements for the degree of.
[PDF]Parameterizing Subdivision Surfaces - TAMU Computer Science ...
Texas A&M University ... (b) our subdivision parameterization method, (c) our method using extended charts and (d) ARAP polygon parameterization applied to the ... The angle, area and stretch distortion for each method are shown below.
[PDF]UNIVERSITY OF CALGARY Equal Area Spherical Subdivision by ...
by the University of Calgary Archives. ... the presented equal area subdivision. ...... employ standard computer algorithms and approaches to improve their ...
Developing an Equal Area Global Grid by Small Circle Subdivision
The authors propose a new equal area global partitioning method based upon small ... between the US Environmental Protection Agency and Oregon State University. ... The small circle subdivision method, based upon the direct spherical ...
[PDF]Subdivision on Arbitrary Meshes - New York University
aspects of subdivision algorithms and theory as well as provide references for ...... representation of choice, and applications appear in other areas (e.g. ...
[PDF]12 - Hidden Surface Removal (or, visibility) - Princeton University
COS 426, Spring 2003. Overview. • Motivation. • Algorithms for HSR o Back-face detection o Depth sort o Ray casting o Scan-line o Z-buffer o Area subdivision.
Books on the term Area subdivision algorithm
Computer Graphics
Bhatia, 2008
Algorithm Step 1: Sort all polygons into a polygon list according to Zmax. Starting from the end of the list, assign ... 10.4 AREA-SUBDIVISION ALGORITHM The area-subdivision algorithm was developed by Warnock. This algorithm follows the ...
Introduction to Computer Graphics: Using Java 2D and 3D (Undergraduate Topics in Computer Science)
Frank Klawonn, 2012
This book is an essential tool for second-year undergraduate students and above, providing clear and concise explanations of the basic concepts of computer graphics, and enabling the reader to immediately implement these concepts in Java 2D and/or 3D with only elementary knowledge of the programming language. Features: provides an ideal, self-conta...
Advances in Numerical Analysis: Wavelets, subdivision ...
William Allan Light, Science and Engineering Research Council (Great Britain), 1992
The aim of this volume is to present research workers and graduate students with a state-of-the-art survey of some of the most active areas of numerical analysis.
Progress in Computer Graphics
George Winston Zobrist, Chaman Sabharwal, 1992
(10) map Update_row_proj initmatrix (11) end; 4.7 Area subdivision algorithm The Area subdivision algorithm uses the concept of area coherence, which means adjacent areas (pixels) tend to be similar. The simplest area subdivision ...
Computer Graphics Multimedia And Animation
Pakhira, 2008
y y\ ys Figure 12.10: Incremental method for depth calculation. 12.3 Warnock's Algorithm Warnock's algorithm makes use of area coherence. Here, coherent area in the image space is found out by the repeated area subdivision method. Hence ...
Computer Facial Animation, Second Edition
Frederic I. Parke and Keith Waters, 1996
This book integrates all aspects of computer-generated facial animation including computer-based visualization techniques, three-dimensional character animation, anatomical, and psychological considerations and discusses them in the framework of promising applications in entertainment, human-computer interface, research, and education.
Computer Graphics Dictionary
Roger T. Stevens, 2002
arithmetic instruction area-length relation for river basins Relationship between the length of a river and the area of its ... This process is applied recursively until everything has been displayed. Area subdivision algorithm, Warnock The ...
Mathematical and Computer Programming Techniques for Computer Graphics
Peter Comninos, 2005
Provides a comprehensive and detailed coverage of the fundamentals of programming techniques for computer graphics Uses lots of code examples, encouraging the reader to explore and experiment with data and computer programs (in the C programming language)

Blog posts on the term
Area subdivision algorithm
Recursive Polygon Subdivision › Experimenting with a 2D Polygon Subdivision Algorithm › Soulwire
This is a little algorithm I sketched in my moleskin on the train and for once had the free time to build. The idea is to split a convex polygon between two line segments, creating two new polygons. Each shape is pushed into a queue ready to be subdivided itself. Despite the simplicity of the [...]
blog.soulwire.co.uk/laboratory/flash/recursive-polygon-subdivision
Four-Point -Ary Interpolating Subdivision Schemes
The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles as well as review articles, with emphasis on unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.
www.hindawi.com/journals/ijmms/2013/893414/
Fast Loop mesh subdivision - File Exchange - MATLAB Central