What is general fixed-point scaling?

What is general fixed-point scaling?

The precision of a fixed-point number is the difference between successive values representable by its data type and scaling, which is equal to the value of its least significant bit. The value of the least significant bit, and therefore the precision of the number, is determined by the number of fractional bits.

What are the steps involved in general fixed-point scaling?

To determine the general form of the scaling matrix with respect to a fixed point P (h, k) we have to perform three steps: Translate point P(h, k) at the origin by performing translation (T1). Scale the point or object by performing scaling (S). Translate the origin back by performing reverse translation (T2).

What is fixed scaling?

Scaling. The dynamic range of fixed-point numbers is much less than that of floating-point numbers with equivalent word sizes. To avoid overflow conditions and minimize quantization errors, fixed-point numbers must be scaled.

What is 3D shearing?

3D Shearing is an ideal technique to change the shape of an existing object in a three dimensional plane. In a three dimensional plane, the object size can be changed along X direction, Y direction as well as Z direction.

What is 3D scaling?

In the scaling process, you either expand or compress the dimensions of the object. Scaling can be achieved by multiplying the original coordinates of the object with the scaling factor to get the desired result. The following figure shows the effect of 3D scaling − In 3D scaling operation, three coordinates are used.

What is meant by scaling in computer graphics?

In computer graphics, scaling is a process of modifying or altering the size of objects. Scaling may be used to increase or reduce the size of object. Scaling subjects the coordinate points of the original object to change. If scaling factor > 1, then the object size is increased.

What is binary scaling?

Binary scaling is a computer programming technique used typically in embedded C, DSP and assembler programs to implement non-integer operations by using the native integer arithmetic of the processor.

How rotation about arbitrary point is performed?

Rotation about an arbitrary point: If we want to rotate an object or point about an arbitrary point, first of all, we translate the point about which we want to rotate to the origin. Then rotate point or object about the origin, and at the end, we again translate it to the original place.

What is the shearing process?

Shearing, also known as die cutting, is a process which cuts stock without the formation of chips or the use of burning or melting. Shearing-type operations include: blanking, piercing, roll slitting, and trimming. It is used for metal, fabric, paper and plastics.

Is there a way to scale a fixed point?

Scaling about a fixed point P0 (x0,y0,z0) can be accomplished by the following: 1. translating P0 to the origin 2. scaling the object 3. translating P0 back to original position 2/1/2018 7

How to determine the general form of the scaling matrix?

To determine the general form of the scaling matrix with respect to a fixed point P (h, k) we have to perform three steps: Translate point P (h, k) at the origin by performing translation (T1). Scale the point or object by performing scaling (S).

Which is the scaling factor for fixed point arithmetic?

Fixed-point formats with scaling factors of the form 2 n -1 (namely 1, 3, 7, 15, 31, etc.) have been said to be appropriate for image processing and other digital signal procssing tasks. They are supposed to provide more consistent conversions between fixed- and floating-point values than the usual 2 n scaling.

How to derive 2D transformation matrix for fixed point scaling?

Derive 2D transformation matrix for fixed point scaling. To determine the general form of the scaling matrix with respect to a fixed point P (h, k) we have to perform three steps: Translate point P (h, k) at the origin by performing translation (T1).