Positive accelerations - computer animation, Computer Graphics

Positive Accelerations - Computer Animation

So as to incorporate increasing speed in an animation the time spacing among the frames should increase, hence greater change in the position arise, as the object moves faster. In common, the trigonometric function utilized to have raised interval size the function is (1- Cos Θ) ,0<Θ<Π/2 .

For n in-betweens, the time for the Jth in-between would be computed as:

ΔTJ = Ta + ΔT [1 - Cos( J (Π/ 2)( N + 1))];      J = 1, 2, 3,........, N

ΔT=time dissimilarity among two key frames =Tb-Ta

2381_Positive Accelerations - Computer Animation 3.png

In above figure represents a positive acceleration case since the space (that is, time space) among frames continuously raising leading to the raise in accelerations that are changes in object position in two frames is fast. Here we study the trigonometric function utilized to find out positive acceleration, as Y=(1-Cos Θ) ,0<Θ<Π/2

 At Θ = 0;

Y = (1 - Cos0) = 1 - 1 = 0

 At Θ = Π/ 2 ;   Y =

 (1 - Cos Π/ 2) = 1 - 0 = 1

 Now see at Figure 7 for appropriate understanding of concept.

745_Positive Accelerations - Computer Animation 1.png

Note: consisting projections of points upon curve, over Y axis, we will obtain a pattern as same to Figure 6 that is required to generate positive acceleration.

11_Positive Accelerations - Computer Animation 2.png

Raises in gap along y-axis depict that spacing among key frames increases that leads to accelerated motion.

As our intend here is to have acceleration in the motion thus we create N-in between frames, among two key frames that leads to N+1 sections and divide Θ axis in to N fragments, for all fragments, we get Y=(1-CosΘ). Substituting diverse values of Θ we find various Y as demonstrated in figure 7 and 7(a), the space among frames is continuously raising, imparting an accelerated motion.

Length of all subintervals (Θ) = (Θ12 )/no. of subintervals = (Π/ 2 - 0) N + 1 = Π/ 2(N + 1)

Hence, change in (Θ) produces change of 1- Cos ( (Π / 2)(N+1))

Posted Date: 4/5/2013 6:13:13 AM | Location : United States







Related Discussions:- Positive accelerations - computer animation, Assignment Help, Ask Question on Positive accelerations - computer animation, Get Answer, Expert's Help, Positive accelerations - computer animation Discussions

Write discussion on Positive accelerations - computer animation
Your posts are moderated
Related Questions
Characteristics of Bitmap Data: Bitmap data can take up many rooms. A CMYK A-4 size picture which is optimized for medium quality printing (150 lpi) takes up 40 Mage Bytes. Compre


Explain the 3d transformations

What is meant by scan code? When a key is pressed on the keyboard, the keyboard controller places a code bear to the key pressed into a part of the memory known as the keyboard

explain interactive picture-construction techniques

what do you mean by high definition systems? Define aspect ratio?  What is a refresh buffer? What is the difference between bitmap and pitman frame buffer? Explain the basic oper

Definitions of Hypermedia It is a term created through Ted Nelson in the year 1970. It utilized as a logical extension of the term hypertext, wherein graphics, video, audi

Question: a) Datagram packet delivery and Virtual circuit packet delivery are two approaches to the delivery of packets by the network layer. Explain. b) What is the meaning

Image Processing Process Images are the last product of most processes in computer graphics. The ISO that is International Standards Organization explains computer graphics as

Film - Applications for Computer Animation Computer animation has turn into regular and accepted in particular effects. Movies as "Jurassic Park", "Terminator 2: Judgment Day"