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The Cohen-Sutherland Line-Clipping Algorithm. First bit: above top edge y ymax ... Polygon Clipping. Sutherland-Hodgeman algorithm (A divide-and-conquer strategy) ...
Given a point (x, y) and clipping window (xmin, ymin), (xmax, ... Big Optimization: trivial ... of u for which x and y both inside the viewing window. 72 /128 ...
Viewing & Clipping In 2D Contents Windowing Concepts Clipping Introduction Brute Force Cohen-Sutherland Clipping Algorithm Area Clipping Sutherland-Hodgman Area ...
Larry F. Hodges, G. Drew Kessler. 1. 3-D Clipping. Larry F. Hodges, G. Drew Kessler ... 3-D Extension of 2-D Cohen-Sutherland Algorithm, Outcode of six bits. ...
Just as with scan-conversion algorithms, clipping algorithms are called whenever ... easy for thick and filled primitives as part of scan line fill ...
Clipping. analytically calculating the portions of ... Clipping Lines To Viewport. combining trivial accepts/rejects ... Cohen-Sutherland Line Clipping ...
... to be inside a rectangle t, b, r, l , it should be guaranteed that l x r and b y t. ... The edge crosses top and left. t b r l. Cohen-Sutherland clipping ...
Form new line segment AB and discard BD because above the window. ... Student Exercise. Draw three possible results of interior clipping of the string 'ABC' ...
Clipping. Aaron Bloomfield. CS 445: Introduction to Graphics. Fall 2006 ... Clipping. Analytically calculating the portions of primitives within the viewport. 12 ...
Object space: coordinate where each component is defined ... Clipping space: All point is in homogeneous coordinate. ... homogeneous coordinate is translated ...
3.2.5 Clipping, zooming and roaming. p. 91: smooth animations and double buffering ... 3.3.2 Cohen-Sutherland clipping. Checks for trivial accept or trivial reject ...
Intersection calculation ... for x, get t, calculate corresponding y. ... The calculation of an outcode for each endpoint allows for an efficient implementation. ...
I N T R O D U C T I O N T O C O M P U T E R G R A P H I C S ... Brute force clip: solve simultaneous equations using y = mx b for line and four clip edges ...
A fundamental task in graphics is to keep those parts of an object that lie ... We chop each end-point of the line at the 'nearest' window boundary. 1. 2. 3. 4 ...
clipping (taglio ai bordi) e facce nascoste clipping e facce nascoste visualizzazione da 3D a 2D e poi su schermo: eliminazione delle parti che escono dalla scena o ...
... Transformation - The process of going from a window in world coordinates to ... If a pixel is square, we can map NDC to the largest square region of the screen. ...
World Coordinate System (Object Space) - Representation of an object measured in ... Screen Coordinate System (Image Space) - The space within the image is displayed ...
Computer Graphics using OpenGL, 3rd Edition F. S. Hill, Jr. and S. Kelley Chapter 3 Additional Drawing Tools PART II Clipping Lines We want to draw only the parts of ...
Ray Casting, Ray Tracing. Week 7, Lecture 14. David Breen, William ... Snell's Law: i sin i = t sin. t Let = i / t =sin t / sin. i Let m = (cos i n - i) / sin ...
Geometry outside the view volume also behaves very strangely under perspective projection ... Parametric clipping - view line in parametric form and reason ...
1. Polygon Scan-Conversion. Rasterize a polygon scan line by scan line, determining which ... Find the intersections of the scan line with all polygon edges. ...
Given a point (x, y) and clipping window (xmin, ymin), (xmax, ymax), determine ... Big Optimization: trivial accepts/rejects ... of (x,y) clip points is ...
Some optical illusions possible. Parallel lines appear to diverge ... Thus for a simple perspective with the COP at (0,0,0), the image plane at z = d. 35 ...
An area on a display device to which a window is mapped. ... Pass each pair of adjacent polygon vertices to a window boundary clipper. There are four cases: ...
Exam questions will require knowledge of Data Structures and General Programming ... We chop each end-point of the line at the 'nearest' window boundary. 1. 2. 3. 4 ...
Main idea: fast computations based on comparing with max/min x, y values of window ... Compare endpoints to determine if they are in/out of the rectangle ...
... into a set of pixel values through scan conversion. ... Any primitive potentially affects any set of pixels. in the frame buffer/z buffer. Image oriented: ...
... pixels by graphics hardware, a piece of geometry goes through a number of transformations... Tristimulus of Color Theory. Spectral-response functions of ...
Title: 3 DIMENSIONAL VIEWING Last modified by: ceng Document presentation format: Custom Other titles: Times New Roman Arial Trebuchet MS StarSymbol Verdana Default ...
else if code0 AND code1 0000. reject (don't draw) else clip and retest ... else code = code1. dx = x1 x0; dy = y1 y0. if code AND 1000 then begin // ymax ...
save new clip vert. and ending vert. in in. save ending vert. in out. save new clip vert. out out. save nothing. 9/24/09. University of North Carolina Chapel Hill ...
Shading (combined with normals and lighting information to compute the color ... Half-toning (dithering) Color-correction. 9. Implementation of Transformation ...
... which don't have such problems (OpenGL has tessellate function in glu library) ... OpenGL tessellates concave polygons. Tessellation depends on winding rule ...