Lab 7

Exercise A
These images above are original image( 1), Fourier transform of image( 2) and centredfourier transform image (3). The original image shows high frequency in the centre while in the corner show low frequency. Moreover, original image has sharp edge in the middle line. In addition, the fourier transform of image (2) show lighter edge in the corner which that mean low frequency in the corner and the high frequency at the edges. Furthermore, the centredfourier image (3) shows as the opposite of the original image(1) which that mean the light soft edges in the middle line.
However, after remove the logarithmic transformation, the images ( 1a and 3a) show are looks like similar the images (1and 3) except image(2a) there is no details in the produced image.

Exercise B:

These images above are (a) the original image, (b) the transform of (a), and (c) the inverse transform of (b).?The Fourier transformation is present on the original image. So, inverse transform image is present to rebuild the original image which is appearing as the same original image in the brightness and pixels. Moreover, it is clear that the original image can be rebuild by using the inverse fourier transformation ( it is clear in the image c).
In addition, the transformation image of the original image ( B) show high frequency in the center of image , so, it can be seen small dot in the centre of image.
Moreover, the images A2,B2 and C2 are another example to clarify the result of this exercise.

Exercise C:
These images above are the image of the circle with incoherent noise ( C1) , the circle with coherent noise (C3), and their respective transforms (C2 and C4). The image (C1) show the random noise is spread over the image while the image C2 show the noises are not completely removed from the filtered image. In contrast, the image C3 ( coherent noise image) show the noise is regular in the vertical direction over the image and has sharp edges. Moreover, the image C4 ( transform image) show the lines are removed but there are a soft noises appear as circles around the dot in the middle of image and disappear when move towards the outside( it is clear in the corner of image , there are no noise) .
However, the image C4 is appearing less sharp than image C2.
So, the fourier can separate the noise from the image if the noise is regular while the fourier removes some noise if the noise is random.

Exercise D:
These images above are the ideal lowpass filter (a), the filtered spectrum of the original circle image with incoherent noise (b) and and (c) the inverse transform of (b). So, after applied the lowpass filter on the original image, the filtered spectrum of the original circle image (b) have low frequency and become much better than the original image. However, the final image is brighter and show more details better than the original image.
So, the lowpass filter is useful to remove the noise from the image. So, the final image has more details and becomes more visible.

Exercise E:
These images above are (a) the butterworth filter, (b) the filtered spectrum of the original circle image with incoherent noise, and (c) the inverse transform of (b). The butterworth filter ( image A) has high frequency in the middle which decreased toward the outside of the image. Moreover, the filtered spectrum (image B) shows high frequency in the middle with more details better than the original image and the spectrum amplitude decreased toward the image corner. However, the final image shows more details with less noise when compared to the original image.
So, the butterworth filter is useful to remove the noise from the image. So, the final image has more details and becomes more visible.

Lab 7

LINK
http://phet.colorado.edu/en/simulation/energy-skate-park

Lab 7: Energy

Introduction and Objectives
The modern energy concept was introduced in the early part of the 19th Century (ca. 1802 – 1807) as a means of extending physics without the need for the cumbersome vector calculations that characterized Newton’s mechanics.

This lab will explore how energy flows back and forth between the potential and kinetic energies as objects move along a sloped track.

When the student has completed this lab they should be able to:

Understand the nature of potential and kinetic energies.
Be able to calculate the total energy of a system
Be able to predict motion based on conservation of energy.

Lab 7

LINK
http://phet.colorado.edu/en/simulation/energy-skate-park

Lab 7: Energy

Introduction and Objectives
The modern energy concept was introduced in the early part of the 19th Century (ca. 1802 – 1807) as a means of extending physics without the need for the cumbersome vector calculations that characterized Newton’s mechanics.

This lab will explore how energy flows back and forth between the potential and kinetic energies as objects move along a sloped track.

When the student has completed this lab they should be able to:

Understand the nature of potential and kinetic energies.
Be able to calculate the total energy of a system
Be able to predict motion based on conservation of energy.