By Peter Shirley, Michael Ashikhmin, Steve Marschner
Book Details:
Title: basics of special effects - Peter Shirley [PDF]
Author: Peter Shirley
ISBN: 1568814690
EAN: 9781568814698
ASIN: 1568814690
SKU: NU-LBR-00507452
Publisher: A ok Peters
Publication Date: 2009-07-21
Number of Pages: 804
Website: Amazon, LibraryThing, Google Books
Goodreads
Format: PDF
Synopsis from Amazon:
The huge popularity and use of this ebook as one of many best introductory special effects texts has enabled the unique writer and coauthors to replace the chapters and give a contribution new fabric related to the main a professional specialists in several parts whereas conserving a unified procedure. This variation of "Fundamentals of laptop Graphics" provides 4 new contributed chapters and comprises colossal reorganizations and enhancements to the middle fabric. the hot chapters upload assurance of implicit modeling and of 2 very important portraits purposes: video games and knowledge visualization. The fourth new contributed bankruptcy is a tremendous improve to the cloth on colour technological know-how. As with the chapters additional within the moment variation, we now have selected the participants either for his or her services and for his or her transparent approach of expressing ideas.
Read or Download Fundamentals of Computer Graphic (3rd Revised Edition) PDF
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Additional info for Fundamentals of Computer Graphic (3rd Revised Edition)
Sample text
7 3D Parametric Curves A 3D parametric curve operates much like a 2D parametric curve: x = f (t), y = g(t), z = h(t). For example, a spiral around the z-axis is written as: x = cos t, y = sin t, z = t. 5. Curves and Surfaces 41 As with 2D curves, the functions f , g, and h are defined on a domain D ⊂ R if we want to control where the curve starts and ends. In vector form we can write ⎡ ⎤ x ⎣y ⎦ = p(t). z In this chapter we only discuss 3D parametric lines in detail. General 3D parametric curves are discussed more extensively in Chapter 15.
2, is the gradient. For the line Ax + By + C = 0, the gradient vector is (A, B). 29), and points to the side of the line where Ax + By + C is positive. Given two points on the line (x0 , y0 ) and (x1 , y1 ), we know that the vector between them points in the same direction as the line. This vector is just (x1 − x0 , y1 − y0 ), and because it is parallel to the line, it must also be perpendicular to the gradient vector (A, B). Recall that there are an infinite number of (A, B, C) that describe the line because of the arbitrary scaling property of implicits.
Miscellaneous Math Implicit Quadric Curves In the previous section we saw that a linear function f (x, y) gives rise to an implicit line f (x, y) = 0. 32. The ellipse with center (xc , yc ) and semi-axes of length a and b. Try setting a = b = r in the ellipse equation and compare to the circle equation. the resulting implicit curve is called a quadric. Two-dimensional quadric curves include ellipses and hyperbolas, as well as the special cases of parabolas, circles, and lines. and axis-aligned ellipses of the form (x − xc )2 (y − yc )2 + − 1 = 0.