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       <dc:date>2026-04-20T21:05:06+0200</dc:date>
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        <dc:date>2025-01-21T10:49:00+0200</dc:date>
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        <title>courses:zsl:examquestions2022</title>
        <link>https://cw.fel.cvut.cz/b242/courses/zsl/examquestions2022?rev=1737452940&amp;do=diff</link>
        <description>Medical Imaging course exam topics

This is a version for summer 2022. Besides the topics mentioned below, you should also know the topics explained in the laboratory sessions. I might also ask you to do simple calculations using mathematical formulas that we talked about.</description>
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        <title>courses:zsl:examquestions2023</title>
        <link>https://cw.fel.cvut.cz/b242/courses/zsl/examquestions2023?rev=1747739619&amp;do=diff</link>
        <description>Medical Imaging course exam topics

This is a version for summer 2023. Besides the topics mentioned below, you should also know the topics explained in the laboratory sessions. I might also ask you to do simple calculations using mathematical formulas that we talked about.</description>
    </item>
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        <dc:date>2025-04-28T10:07:05+0200</dc:date>
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        <title>courses:zsl:labs</title>
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        <description>Cvičení / Lab organization

This is the main wiki page for labs in Medical Imaging Systems (codes BAM33ZSL, BEAM33ZSL).  

Teaching assistants:

	*  Jiří Anýž &lt;anyzjiri@fel.cvut.cz&gt;
		*  Jan Šanda &lt;jan.sanda@lfmotol.cuni.cz&gt;
		*  Jan Kybic &lt;kybic@fel.cvut.cz&gt;

Plán cvičení (Timetable and topics)

Labs take place on Wednesdays at 9:15-10:45 or 11:00-12:30, in room</description>
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        <dc:date>2025-02-12T13:33:46+0200</dc:date>
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        <title>courses:zsl:labs2025_01_introduction_ttest</title>
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        <description>Lab 01: Introduction to Matlab, hypothesis testing

Topics:

1 Introduction to Matlab

Matlab is available at  CTU Download

As a warm-up exercise, we will try a few simple image transformations using Matlab.

Download the image by clicking on the image [ CT scan of brain]

Use imread$$ t = \frac{\bar{x} - \mu_0}{\frac{s}{\sqrt{n}}}$$$\bar{x}$$\mu_0$$s$$n$$n - 1$$$ t = \frac{\bar{x}_1 - \bar{x}_1}{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } } $$$\bar{x}_1$$\bar{x}_2$$s_1$$s_2$$n_1$$n_2$$x_1$…</description>
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        <dc:date>2025-02-25T14:42:02+0200</dc:date>
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        <title>courses:zsl:labs2025_02_ct_images</title>
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        <description>Lab 02 : CT Images

Topics:
VisualizationClassification
HW02 Homework
[3 pts][2 pts]
(A) CT Data Processing

Download the [ MITK Workbench] application. Load the testing image lowdose_CT.nii, if the data are too large for your PC to process, you can try the smaller lowdose_CT_cropped.nii.gz file. Optionally you can look at T1-weighted images of lower leg $[W_l, W_u]$$W_l$$W_u$$[W_l, W_u]$$(W_u + W_l) / 2$$W_u - W_l$$I(x,y)$$\theta_l \leq I(x, y) \leq \theta_u$</description>
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        <dc:date>2025-03-05T13:53:53+0200</dc:date>
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        <title>courses:zsl:labs2025_03_xray_decay</title>
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        <description>Lab 3 : X-rays, radioactive decay

1 X-Rays

Useful formulas
$E = hf = h \frac{c}{\lambda}$$I = I_0 \cdot e^{-\mu d}$$\mu_m = \frac{\mu}{\rho_m}$$\frac{1}{2} = \textrm{e}^{-\mu d}$$c \approx 3 \cdot 10^8 m \cdot s^{-1}$$h \approx 4.135 \cdot 10^{-15} eV \cdot Hz^{-1}$
1.1 Energy of a photon (I)

A photon with wavelength $100~nm$ has energy of $12~eV$, what is the energy of a photon with wavelength $2~nm$? [600 eV]

HW 1.2 Energy of a photon (II) [1 pt]

The X-ray tube (rentgenka$10~keV$$10~W/cm^…</description>
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        <dc:date>2025-08-31T20:51:25+0200</dc:date>
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        <description>Lab 04 : Ultrasound theory

Homework
[3 pt][2 pt]
1 US exercises

Useful formulas:
$\lambda = \frac{c}{f}$$c = \frac{1}{\sqrt{\rho K}}$$K$$E$$Z_t = \rho c$$R = \frac{(Z_1 - Z_2)^2}{(Z_1 + Z_2)^2}$
 1.1 Signal propagation

 1.1.1  The time delay between transmission and the arrival of the reflected wave of a signal using ultrasound travelling through a piece of fat tissue was $0.13 ms$$1450 m/s$$1540 m/s$$1000 kg \cdot m^{-3}$$1.54 \cdot 10^6 Rayl$$30.8 \cdot 10^6 \frac{kg}{m^2 \cdot s}$$429 \fra…</description>
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        <description>Lab 05 : Ultrasound simulation

Homework
[2 pts][3 pts]
Field II simulator

In this part we will examine the basic properties of US imaging systems using the Field II simulator. The Field II simulator is an environment for the numeric simulation of ultrasound signals. The simulator is capable of numerically simulating emitted and received acoustic fields for a broad range of acoustic transducers. With the simulator it is for example possible to acquire data and reconstruct images similarly to a …</description>
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        <dc:date>2025-04-14T14:02:43+0200</dc:date>
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        <title>courses:zsl:labs2025_06_radon</title>
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        <description>Lab 06 : CT Radon transform, forward projection

Topics:
--
HW06 Assignment

The homework has four consecutive parts. When completed, you will have your own implementation of the forward projection ( Radon transform) used in CT imaging. A set of projections with varying direction $\theta$$x, y$$p$$q$$q$$p$$\theta$\begin{align}
p &amp;=&amp; x \cdot \cos \theta + y \cdot \sin \theta \\
q &amp;=&amp; -x \cdot \sin \theta + y \cdot \cos \theta  
\end{align}$[-p_m, p_m] \times [-q_m, q_m]$$(x, y) \in [-x_m, x_m] \t…</description>
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        <dc:date>2025-04-11T13:58:40+0200</dc:date>
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        <title>courses:zsl:labs2025_07_backproj</title>
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        <description>Lab 07 : CT Reconstruction, Back-projection

Topics:
--
HW07 Assignment

Today's homework is subdivided into three parts (and one additional bonus part) and its main topic is the inverse of the forward (Radon) projection transform, that was the topic of $J(\theta, p)$$f(x, y)$$f_{\theta}(x, y)$$J(\theta, p)$$$f_{\theta}(x, y) = J(\theta, x \cos \theta + y \sin \theta)$$$$f_{\text{unfilt}}(x, y) = \mathcal{B}[\mathcal{R}f] = \sum_\theta {f_{\theta}(x, y)}$$$\mathcal{F}_2$$f(x, y)$$\mathcal{F}_1 […</description>
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        <dc:date>2025-04-16T10:45:00+0200</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>courses:zsl:labs2025_08_iterrecon</title>
        <link>https://cw.fel.cvut.cz/b242/courses/zsl/labs2025_08_iterrecon?rev=1744793100&amp;do=diff</link>
        <description>Lab 08: Algebraic reconstruction technique

Radon transform

Radon transform is a transform that is used for example in computed tomography. Revise the equations describing the Radon transform in Radon transform equations. 

In the previous lab we used the Radon transform in a continuous space and we discretized the equation in order to apply it to digital images. Another form of the Radon transform for digital images is in Equation 1. This form is more suitable for the reconstruction of a sinog…</description>
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        <dc:date>2025-05-14T12:38:35+0200</dc:date>
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        <title>courses:zsl:labs2025_12_mribloch</title>
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        <description>Lab 12 : MRI Basics

In today's lab we will examine the basic principles of Magnetic Resonance Imaging (MRI).
Review the MRI lectures [ MRI - introduction, principles, excitation, relaxation ] and  [ MRI - spin-echo, Fourier imaging ]. A very rich information source on the topic of MRI with a lot of illustrations and animations offers [MRI Questions]. The relationship between the Bloch equations and the relaxation times is shown $90^\circ$$T_1, T_2$$M_{xy}$$M_z$$90^\circ$$T_1$$T_2$$T_2$$T_1$$$U …</description>
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        <dc:date>2025-06-25T17:02:13+0200</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>courses:zsl:lessons</title>
        <link>https://cw.fel.cvut.cz/b242/courses/zsl/lessons?rev=1750863733&amp;do=diff</link>
        <description>ZSL Zobrazovací systémy v lékařství / Medical Imaging Systems

Přednášky  / Lectures


Monday, 14:30-16:00, room KN:E-301, Charles square.

Přednášející/Lecturers: Jan Kybic (JK),
André Sopczak (AS),
Vít Herynek (VH)

The schedule is preliminary and may be changed. Updated study materials will appear here before the lecture.</description>
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        <dc:date>2025-02-03T11:14:27+0200</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>courses:zsl:start</title>
        <link>https://cw.fel.cvut.cz/b242/courses/zsl/start?rev=1738577667&amp;do=diff</link>
        <description>BAM33ZSL / A6M33ZSL - Zobrazovací systémy v lékařství / Medical Imaging Systems

Obsahem předmětu je koncepce, vlastnosti a struktura zobrazovacích systémů užívaných v současné době v lékařství. Jedná se 2D mikroskopické, rentgenové a ultrazvukové zobrazovací systémy včetně dopplerovského ultrazvuku. Dále se budeme zabývat tomografickými (3D) systémy: počítačovou tomografií (CT), magnetickou rezonancí (MRI) včetně funkční MR a nukleárními zobrazovacími metodami (PET,SPECT).…</description>
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        <dc:date>2025-04-24T15:05:08+0200</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>courses:zsl:zkouskazsl</title>
        <link>https://cw.fel.cvut.cz/b242/courses/zsl/zkouskazsl?rev=1745499908&amp;do=diff</link>
        <description>Zkouška z předmětu Zobrazovací systémy v lékařství / Medical Imaging Systems course exam

Termíny zkoušek v roce 2025:  /   The exam dates in 2025:
26.5.11.6.25.6.


Podrobnosti

	*  Zkoušku tvoří písemný test, který lze psát česky i anglicky.</description>
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