Polygon meshes - modeling and rendering, Computer Graphics

Polygon Meshes - Modeling and Rendering

A polygonal surface to be sketched may not be easy and may have enormous curls and curves. Illustration: a crushed piece of paper or crushed piece of aluminum foil and so on. In these cases all sections of a polygonal surface can be produced as in computer graphics or can be simply drawn are with the assist of diverse standard graphic objects as rectangles, triangles, circles or may be semicircles, spheres or may be hemispheres and so on, drawn in a way that their pattern combination matches along with the polygonal surface about construction. Such cumulative combination of each standard graphic object is actually the mesh or polygonal mesh utilized to approximate the definite geometry of any complicated object about construction, with the assist of the standard graphic objects.

After studying the section of polygon tables, we understood that a polygonal surface can be represented along with the set of surfaces, set of edges and set of vertices; that are the common terminologies of nothing but graphs. Consequently we will use such concept here too, since the polygons we require to represent can be arbitrarily large. Hence, generally it is convenient and proper to utilize a polygon mesh quite than a single mammoth polygon as: single standard graphic object. For illustration, you can simplify the method of rendering polygons through breaking all polygons in triangles. Triangle renderers can also be executed in hardware, making it advantageous to break the world down in triangles. Observe the figure 8:

2417_Polygon Meshes - Modeling and Rendering.png

Figure  (a)                                   Figure  (b)                                           Figure  (c)

Another illustration where smaller polygons are good is the Inventor lighting model. Inventor calculates lighting at vertices and interpolates the values in the polygon's interiors. Through breaking larger surfaces in meshes of smaller polygons, the lighting approximation is enhanced. From the demonstrated Figure 8 two significant observations are:

-        Triangle mesh generates n-2 triangles from a polygon of n vertices.

-        Quadrilateral mesh generates (n-1) through (m-1) quadrilaterals from an n x m array of vertices

It is significant to note here specifying polygons, along with more than three vertices could consequence in sets of points, that are not co-planar, the purpose behind may be the numerical errors or error in choosing the coordinate position of the vertices. Handling non-coplanar vertices is quite complicated, thus two manners to handle theses situation:

  • Break the polygon in triangles and also deal.
  • Approximate A, B, and C in the plane equation, such can be done either with averaging or with projecting the polygon on the coordinate planes. A must be proportional to the projection as in the yz-plane, B proportional to xz as well as C proportional to xy. Better quality graphics system usually model objects along with polygon meshes and put system of a database of geometric and attribute information to assist processing of the polygon facets. Speedy hardware implemented polygon renderers are included in such systems along with the ability for displaying hundreds of thousands to one million or further shaded polygon per second consisting the application of surface texture.

 

Posted Date: 4/4/2013 4:17:10 AM | Location : United States







Related Discussions:- Polygon meshes - modeling and rendering, Assignment Help, Ask Question on Polygon meshes - modeling and rendering, Get Answer, Expert's Help, Polygon meshes - modeling and rendering Discussions

Write discussion on Polygon meshes - modeling and rendering
Your posts are moderated
Related Questions
How does the Cyrus Beck line clipping algorithm, clip a line segment whether the window is non convex? Solution : see the following figure 13, now the window is non-convex in s

Explain rubber-band interactive picture technique

What is a dot size and interdot distance? Dot size may be explained as the diameter of a single dot on the devices output. Dot size is also known as the Spot size.  Interdo

What are the steps involved in 3D transformation?  Modeling Transformation Projection Transformation Viewing Transformation Workstation Transformation

Scaling, shear, reflection and Viewing coordinates 1) Scaling, shear and reflection operations have natural extensions to 3D.    2)  Viewing coordinates are the coordinates

all details of Graphical User interface and interactive input methods

How many key frames does a one-minute animation film order along with no duplications need? Solution : One minute = 60 seconds Number of frames needed per second=24 Numbe

Gourand shading and Phong shading a. Gourand shading OR Intensity interpolation scheme We will discuss such scheme in further section of Gourand shading OR Intensity in

Define clipping and covering (exterior clipping)? Clipping is the process of cutting a graphics display to neatly fit a predefined graphics region or the view port.  This is

Improving GIF Compression: Features of LZW compression can be used to enhance its efficiency and thereby decrease the size of your graphic interchange format graphics. The strateg