A medical imaging system has a Gaussian PSF given by h(x, y) = 1 270 e-22u2...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A medical imaging system has a Gaussian PSF given by h(x, y) = 1 270² e-2πσ2u2 MTF(u) = e e x²+y² 20² (e) Sketch the MTF as a function of frequency for the two cases where o = 1 and σ = 3. For each sketch, indicate the frequency values where the MTF is equal to 0.1, 0.5 and 1. (2 marks) (f) What is the FWHM associated with the system for the two cases where σ = 1 and σ = 3. (3 marks) (g) In which case does the system have a higher spatial resolution, σ = 1 or σ = 3? Why? (1 mark) (h) What are the spatial frequencies (u and v) for an input signal f(x, y) = cos(2x) + cos (ny)? Calculate the MTF values at these frequencies for σ = 1. Calculate the percentage change in modulation caused by this system (i.e. 100 x (1 - MTF(u))% and 100 x (1 - MTF (v))%). (3 marks) A medical imaging system has a Gaussian PSF given by h(x, y) = 1 270² e-2πσ2u2 MTF(u) = e e x²+y² 20² (e) Sketch the MTF as a function of frequency for the two cases where o = 1 and σ = 3. For each sketch, indicate the frequency values where the MTF is equal to 0.1, 0.5 and 1. (2 marks) (f) What is the FWHM associated with the system for the two cases where σ = 1 and σ = 3. (3 marks) (g) In which case does the system have a higher spatial resolution, σ = 1 or σ = 3? Why? (1 mark) (h) What are the spatial frequencies (u and v) for an input signal f(x, y) = cos(2x) + cos (ny)? Calculate the MTF values at these frequencies for σ = 1. Calculate the percentage change in modulation caused by this system (i.e. 100 x (1 - MTF(u))% and 100 x (1 - MTF (v))%). (3 marks)
Expert Answer:
Answer rating: 100% (QA)
e The MTF for a Gaussian PSF is given by MTFu e22u2 where u is the spatial frequency and is th... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Given the partition To 0, 0.05. 0.1. of the interval [0.0.1] and f(x)= (a) Find an approximation to f(0.07) using Newton's difference polynomial. P(x) that interpolates all the (7) points. Use...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-6. On December 12, Irene purchased the building where her store is located. She paid...
-
Is the PS assessment a valid predictor of performance as a store manager? Would you recommend the PS be used in the future to select sales people for promotion to store manager?
-
Strength of the Electric Force Imagine two 1.0-g bags of protons, one at the earth's North Pole and the other at the South Pole. (a) How many protons are in each bag? (b) Calculate the gravitational...
-
By applying the Mean Value Theorem to the function f (x) = x 1 /5 on the interval [32, 33], show that 2 < 33 < 2.0125
-
Motta Company has the following production data for April: units started and completed 40,000, and ending work in process 5,000 units that are 100% complete for materials and 40% complete for...
-
Money, Inc., a calendar year S corporation in Denton, Texas, has two unrelated shareholders, each owning 50% of the stock. Both shareholders have a $400,000 stock basis as of January 1, 2015. At the...
-
Apple Inc. operates in multiple countries, making its cost accounting complex. Analyze the cost structure of Apple Inc. Discuss how the company allocates its costs across various product lines and...
-
While James Craig and his former classmate Paul Dolittle both studied accounting at school, they ended up pursuing careers in professional cake decorating. Their company, Good to Eat (GTE),...
-
How might you prioritize and develop your leadership style in a start-up culture? Embrace a humanistic leadership style after two years in business Be willing to prioritize your customers Work longer...
-
1. Answer all the following below regarding standard precautions for infection prevention and control. a. What is the purpose of the Australian Guidelines for the Prevention and Control of Infection...
-
Francisco Company has 10 employees, each of whom earns $2,500 per month and is paid on the last day of each month. All 10 have been employed continuously at this amount since January 1. On March 1,...
-
A company has an annual demand of 16,000 products. The products cost 2 TL each. Ordering and transport costs amount to 200 TL per order. The annual cost of holding one product in stock is estimated...
-
Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. f(x) = 6x 4 6x 3x5 Degree = Leading Coefficient = Maximum number of real zeros =
-
The following financial information is available for Bramble Corporation. (in millions) 2025 2024 Average common stockholders' equity $2,500 $2,625 Dividends declared for common stockholders 342 759...
-
Steve and Carol Lee are your clients and they have come to you to prepare their tax retums. During the 2022-23 financial year, Steve and Carol disposed of the following that they owned jointly due to...
-
(a) Explain why the concentration of dissolved oxygen in freshwater is an important indicator of the quality of the water. (b) How is the solubility of oxygen in water affected by increasing...
-
Approximate the solution to the following partial differential equation using the Backward-Difference method. u / t - 1 / 16 2u / x2 = 0, 0 < x < 1, 0 < t; u(0, t) = u(1, t) = 0, 0 < t, u(x, 0) = 2...
-
Repeat Exercise 3 using the algorithm constructed in Exercise 5. Repeat exercise 3
-
Show that if { (, (1, . . . , (n} is an orthogonal set of functions on [a, b] with respect to the weight function w, then {(0, (1, . . . , (n} is a linearly independent set.
-
Paddle Petroleum has the following account balances at 12/31/15: The above properties are abandoned in 2016. Record the abandonment entry. Lease A: unproved property Lease B: proved property... Wells...
-
Aaron Energy Corporation has the following account balances at 12/31/15: At 12/31/15, Lease A is considered to be 40% impaired. Aaron Energys estimated abandonment rate of insignificant unproved...
-
Dwight Oil and Gas Company has the following information at 12/31/15. Production in 2015: Capitalized costs, plus future development costs..... Accumulated DD&A.. Proved reserves Oil. Gas. $2,000,000...
Study smarter with the SolutionInn App