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
Persistence (of phosphor) - Display devices Time it takes the emitted light from screen to decay to one-tenth of its original intensity. The point where an electron gun strikes

Q.   Give the difference between interpolation spleen and approximation spine. Also mention the geometric and parametric continuity conditions in these curves. Ans. A spleen s

For good understanding of the application of the rules specified above see the following figure, where the shaded region demonstrates the clipped polygon. Fi

Viewing Transformation In previous section, we have discussed about the geometric transformations as Translation, Shearing, Reflection, Scaling and Rotation. Rotation, Reflect

Types of Bitmap Images Bitmap images can include any number of colours but we distinguish among four main categories as: 1)      Line-art: These are images that include

Write a C-code for an interactive program which allows a user to draw a polygon object in a window and then gives various choices of geometric transformations on the polygon.  Once

Types of Animation Systems - Computer Animation We have discussed above about the sequencing of animation is helpful in developing any animation. Such sequencing is more or le

what is image precision?

why overstriking is harmful.justify

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