Derive the common transformation for parallel projection into a specified view plane, here the direction of projection d=aI+bJ+cK is along the normal N=n1I+n2J+n3K along with the reference point R₀(x₀,y₀,z₀).

Solution: The common transformation for parallel projection into the xy-plane in the direction of projection following figure (b) v = a I + bJ + ck, indicated by P par, V, N, R_o, contains the subsequent steps:

a) Translate the view reference point R_o of the view plane to the origin, through T-R_o

b) Perform an alignment transformation An hence that the view normal vector N of the view points in the direction K of the normal to the xy-plane. The V projection vector's direction is transformed to new vector V' = AnV.

c) Project into the xy-plane using P par, v'

d) Align k back to N, utilizing An.

e) Translate the origin back to R_o, by T_Ro

Posted Date: 4/3/2013 6:33:06 AM | Location : United States

Ask an Expert

Related Discussions:- Common transformation for parallel projection-transformation, Assignment Help, Ask Question on Common transformation for parallel projection-transformation, Get Answer, Expert's Help, Common transformation for parallel projection-transformation Discussions

Write discussion on Common transformation for parallel projection-transformation
Your posts are moderated

Write your message here..

Related Questions

Axis of rotation - construction of a solid, Axis of Rotation - Construction... Axis of Rotation - Construction of a solid with a translational sweep Figure:  (a)                                                                          Figure  (b)

Polygonal meshes - clipping and 3d primitives, Polygonal Meshes - Clipping ... Polygonal Meshes - Clipping and 3D Primitives Apart from polygonal surfaces, polygonal meshes are also used extensively in 3D geometric modelling.A mesh is essentially a polyg

Types of formats of audio file formats, Types of Formats It is signific... Types of Formats It is significant to distinguish among a file format and a codec. Although most audio file formats support merely one audio codec, a file format may assist mul

Describe fully the term preflight, Question: Adobe InDesign software ... Question: Adobe InDesign software is used to create works such as posters, flyers, brochures, magazines and books. Designers and graphics production artists are the principa

Art-applications for computer animation, Art: it just like conventional an... Art: it just like conventional animation, computer animation is additionally a type of art. A multitude of results can be created on a computer than on a piece of paper. An artist

Hypertext, Hypertext: it is conceptually very similar as regular text: it ... Hypertext: it is conceptually very similar as regular text: it can be stored, searched, read, or edited along with a significant difference: hypertext is text along with pointers

Illustrate the advantages of using virtual reality, Illustrate the Advantag... Illustrate the Advantages of using virtual reality - it's safer (As techniques can be tried out in advance without the dangers of real operation for example maintaining a nucle

Define emissive and non-emissive displays, What do you mean by emissive and... What do you mean by emissive and non-emissive displays?  The emissive display changes electrical energy into light energy. The plasma panels, thin film electro-luminescent disp

Design a graphical user interface, 1. Implement proper exception handling m... 1. Implement proper exception handling mechanism for this application. 2. Display all data a. Search specific data (depending of the user selection, your application should e

Scan conversion of circle, scan conversion of circle scan conversion of circle