Interpolation of surface - polygon rendering, Computer Graphics

Assignment Help:

Interpolation of surface - Polygon Rendering

Interpolation of surface normals beside the polygonedge between two vertices is demonstrated above in the figure 15. Here the normal vector N for the scan line intersection point beside the edge between vertices 1 and 2 can be acquired by vertically interpolating among edge end points normals. After that incremental methods are utilized to evaluate normals among scan lines and along each particular scan line. At each pixel position beside a scan line, the illumination model is implemented to find out the surface intensity at such point

N= [((y-y2) / (y1-y2)) N1] + [((y-y2) / (y1-y2)) N2]

In the figure 15 that already given above, as N¯ is surface normal to be interpolated beside polygon edge 1- 2 having vertices 1 and 2. N¯1 and N¯2 both are normal at the vertices. Therefore, through using the parametric equation across the edge 1 - 2 we can find out the value of the normal N¯ that will be specified by:

N =   N¯1 + t (N¯2- N¯1)

As the same in the figure 16 we can get N¯p and N¯q such are the normal at point as P and Q through that the scan line passes,

p = N¯A +t (N¯B - N¯A); here t = |AP|/|AB|

At present we utilize N¯P to determine cos θ; here, θ is the angle among Normal vector and direction of light represented through vector L i.e. here refer to Phong model.

cos θ = N¯. L¯

 And       cosn α =( R¯ . V¯)n

 = [( 2 N¯ (N¯. L¯) - L¯) . V]n

 Now by using here cosn α, cos θ in

I = Ia Ka + Id Kd cos θ + Is Ks cosn α

/* similarly we can determine intensity of points lying within the surface */

This Np will be utilized to find intensity value that is, IP. at points Po in the object that projection is P, by utilizing the intensity computation formula that we had utilized for the determination of intensities in diffused and specular reflection.


Related Discussions:- Interpolation of surface - polygon rendering

Explain vector data model with examples, Question 1 How does GIS differ fr...

Question 1 How does GIS differ from traditional Maps? Explain Question 2 Explain vector data model with examples Question 3 What is spatial analysis? explain

Explain the term- control, Explain the term- Control Traffic lights (co...

Explain the term- Control Traffic lights (controlling the sequence of lights to maintain optimum traffic flow), chemical and nuclear plants (opening and closing valves, safety

Advantage of initiating the matrix form of translation, Normal 0 ...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Computer aided design and drafting, Computer Aided Design and Drafting ...

Computer Aided Design and Drafting CADD or CAD stands for Computer Aided Design and Drafting. This is different from both "draw" and "paint" programs in which measurement is c

Time delay and busy flag method, 1. Using a time Delay Method The delay...

1. Using a time Delay Method The delay required between issuing each character to the LCD is about 5-10ms (it's simply known as DELAY). When programming an LCD, a long delay is

Common steps of designing the animation sequence, Common Steps of Designing...

Common Steps of Designing the Animation Sequence Common Steps of designing the animation sequence are as given: 1) Layout of Storyboard: Storyboard layout is the action ou

What is the real value, QUESTION (a) People want to know design pattern...

QUESTION (a) People want to know design patterns. i) What should their attitude be about design patterns? ii) How can people use design patterns to do a better job?

Positioning Techniques, Explain Positioning Techniques in computer Graphics...

Explain Positioning Techniques in computer Graphics in detail

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd