Summary
Samenvatting Formularium medische beeldvorming
- Course
- Institution
Formularium met alle formules uit de cursus.
[Show more]
Seller
Follow
celineafroditidemunter
Reviews received
Content preview
2021-2022 1Inleiding tot de medische beeldvorming
Pixelgrootte
𝐹𝑂𝑉
∆𝑟 = ∆𝑟 = 𝑝𝑖𝑥𝑒𝑙𝑔𝑟𝑜𝑜𝑡𝑡𝑒
𝑁
𝐹𝑂𝑉 = 𝑓𝑖𝑒𝑙𝑑 𝑜𝑓 𝑣𝑖𝑒𝑤 [cm]
𝑁 = 𝑏𝑟𝑒𝑒𝑑𝑡𝑒 [#punten]
SNR
𝑔𝑒𝑚𝑖𝑑𝑑𝑒𝑙𝑑𝑒 𝑣𝑎𝑛 ℎ𝑒𝑡 𝑜𝑏𝑗𝑒𝑐𝑡 𝑆𝑁𝑅 = 𝑠𝑖𝑔𝑛𝑎𝑎𝑙 − 𝑟𝑢𝑖𝑠 − 𝑣𝑒𝑟ℎ𝑜𝑢𝑑𝑖𝑛𝑔
𝑆𝑁𝑅 =
𝑠𝑡𝑎𝑛𝑑𝑎𝑎𝑟𝑑𝑎𝑓𝑤𝑖𝑗𝑘𝑖𝑛𝑔 𝑣𝑎𝑛 𝑑𝑒 𝑎𝑐ℎ𝑡𝑒𝑟𝑔𝑟𝑜𝑛𝑑 𝑖𝑛 𝑑𝑒 𝑟𝑒𝑔𝑖𝑜
CNR
𝑔𝑒𝑚𝑖𝑑𝑑𝑒𝑙𝑑𝑒𝑟𝑒𝑔𝑖𝑜 1 − 𝑔𝑒𝑚𝑖𝑑𝑑𝑒𝑙𝑑𝑒𝑟𝑒𝑔𝑖𝑜 2 𝐶𝑁𝑅 = 𝑐𝑜𝑛𝑡𝑟𝑎𝑠𝑡 − 𝑟𝑢𝑖𝑠 − 𝑣𝑒𝑟ℎ𝑜𝑢𝑑𝑖𝑛𝑔
𝐶𝑁𝑅 =
𝑠𝑡𝑎𝑛𝑑𝑎𝑎𝑟𝑑𝑎𝑓𝑤𝑖𝑗𝑘𝑖𝑛𝑔 𝑣𝑎𝑛 𝑑𝑒 𝑎𝑐ℎ𝑡𝑒𝑟𝑔𝑟𝑜𝑛𝑑 𝑖𝑛 𝑑𝑒 𝑟𝑒𝑔𝑖𝑜
Ultrasound beeldvorming
Kalibratiewaarde van de golfsnelheid in weefsels
𝑐 = 1540 𝑚/𝑠
Golfsnelheid in weefsels
𝑎𝑓𝑔𝑒𝑙𝑒𝑔𝑑𝑒 𝑤𝑒𝑔 2 ∙ 𝑑𝑖𝑒𝑝𝑡𝑒 𝑐 = 𝑔𝑜𝑙𝑓𝑠𝑛𝑒𝑙ℎ𝑒𝑖𝑑 [m/s]
𝑐= =
𝑡 𝑡 𝑑𝑖𝑒𝑝𝑡𝑒 = 𝑎𝑓𝑠𝑡𝑎𝑛𝑑 𝑣𝑎𝑛 𝑑𝑒 𝑏𝑟𝑜𝑛 𝑡𝑜𝑡 ℎ𝑒𝑡 𝑤𝑒𝑒𝑓𝑠𝑒𝑙 [m]
𝑡 = 𝑟𝑒𝑓𝑙𝑒𝑐𝑡𝑖𝑒𝑡𝑖𝑗𝑑 [s]
Dikte
𝜆 𝑐 𝜆 = 𝑔𝑜𝑙𝑓𝑙𝑒𝑛𝑔𝑡𝑒 [m]
𝑑𝑖𝑘𝑡𝑒 = =
2 2∙𝑓 𝑐 = 𝑔𝑜𝑙𝑓𝑠𝑛𝑒𝑙ℎ𝑒𝑖𝑑 [m/s]
𝑓 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑖𝑒 [Hz]
Resolutie
𝑐 𝜆 = 𝑔𝑜𝑙𝑓𝑙𝑒𝑛𝑔𝑡𝑒 [m]
𝑟𝑒𝑠𝑜𝑙𝑢𝑡𝑖𝑒~𝜆 =
𝑓 𝑐 = 𝑔𝑜𝑙𝑓𝑠𝑛𝑒𝑙ℎ𝑒𝑖𝑑 = 1540 [m/s]
𝑓 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑖𝑒 [Hz]
Akoestische impedantie
𝑍 =𝜌∙𝑐 𝑍 = 𝑠𝑝𝑒𝑐𝑖𝑓𝑖𝑒𝑘𝑒 𝑎𝑘𝑜𝑒𝑠𝑡𝑖𝑠𝑐ℎ𝑒 𝑖𝑚𝑝𝑒𝑑𝑎𝑛𝑡𝑖𝑒 [kg/m²s]
𝜌 = 𝑑𝑖𝑐ℎ𝑡ℎ𝑒𝑖𝑑 𝑣𝑎𝑛 ℎ𝑒𝑡 𝑤𝑒𝑒𝑓𝑠𝑒𝑙 [kg/m³]
𝑐 = 𝑔𝑜𝑙𝑓𝑠𝑛𝑒𝑙ℎ𝑒𝑖𝑑 [m/s]
Reflectiecoëfficiënt
𝐼𝑟 𝑍2 − 𝑍1 2 𝛼𝑟 = 𝑟𝑒𝑓𝑙𝑒𝑐𝑡𝑖𝑒𝑐𝑜ë𝑓𝑓𝑖𝑐𝑖ë𝑛𝑡
𝛼𝑟 = =( )
𝐼𝑖 𝑍2 + 𝑍1 𝐼𝑟 = 𝑟𝑒𝑓𝑙𝑒𝑐𝑡𝑒𝑟𝑒𝑛𝑑𝑒 𝑖𝑛𝑡𝑒𝑛𝑠𝑖𝑡𝑒𝑖𝑡 [1/m²]
𝐼𝑖 = 𝑖𝑛𝑣𝑎𝑙𝑙𝑒𝑛𝑑𝑒 𝑖𝑛𝑡𝑒𝑛𝑠𝑖𝑡𝑒𝑖𝑡 [1/m²]
𝑍1 = 𝑎𝑘𝑜𝑒𝑠𝑡𝑖𝑠𝑐ℎ𝑒 𝑖𝑚𝑝𝑒𝑑𝑎𝑛𝑡𝑖𝑒 𝑣𝑎𝑛 𝑠𝑡𝑜𝑓 1 [kg/m²s]
𝑍2 = 𝑎𝑘𝑜𝑒𝑠𝑡𝑖𝑠𝑐ℎ𝑒 𝑖𝑚𝑝𝑒𝑑𝑎𝑛𝑡𝑖𝑒 𝑣𝑎𝑛 𝑠𝑡𝑜𝑓 2 [kg/m²s]
Transmissiecoëfficiënt
𝐼𝑡 4𝑍1 ∙ 𝑍2 𝛼𝑡 = 𝑡𝑟𝑎𝑛𝑠𝑚𝑖𝑠𝑠𝑖𝑒𝑐𝑜ë𝑓𝑓𝑖𝑐𝑖ë𝑛𝑡
𝛼𝑡 = =
𝐼𝑖 (𝑍2 + 𝑍1 )2 𝐼𝑡 = 𝑔𝑒𝑡𝑟𝑎𝑛𝑠𝑚𝑖𝑡𝑡𝑒𝑒𝑟𝑑𝑒 𝑖𝑛𝑡𝑒𝑛𝑠𝑖𝑡𝑒𝑖𝑡 [1/m²]
𝐼𝑖 = 𝑖𝑛𝑣𝑎𝑙𝑙𝑒𝑛𝑑𝑒 𝑖𝑛𝑡𝑒𝑛𝑠𝑖𝑡𝑒𝑖𝑡 [1/m²]
𝑍1 = 𝑎𝑘𝑜𝑒𝑠𝑡𝑖𝑠𝑐ℎ𝑒 𝑖𝑚𝑝𝑒𝑑𝑎𝑛𝑡𝑖𝑒 𝑣𝑎𝑛 𝑠𝑡𝑜𝑓 1 [kg/m²s]
𝑍2 = 𝑎𝑘𝑜𝑒𝑠𝑡𝑖𝑠𝑐ℎ𝑒 𝑖𝑚𝑝𝑒𝑑𝑎𝑛𝑡𝑖𝑒 𝑣𝑎𝑛 𝑠𝑡𝑜𝑓 2 [kg/m²s]
Formularium medische beeldvorming Céline De Munter
, 2021-2022 2
Attenuatie van de intensiteit na doorgang door het weefsel
𝐼(𝑥) = 𝐼0 ∙ 𝑒 −(𝜇∙𝑥) 𝐼0 = 𝑖𝑛𝑖𝑡𝑖ë𝑙𝑒 𝑖𝑛𝑡𝑒𝑛𝑠𝑖𝑡𝑒𝑖𝑡 𝑣𝑜𝑜𝑟 𝑑𝑜𝑜𝑟𝑔𝑎𝑛𝑔 𝑣𝑎𝑛 ℎ𝑒𝑡 𝑤𝑒𝑒𝑓𝑠𝑒𝑙 [1/m²]
𝜇 = 𝑖𝑛𝑡𝑒𝑛𝑠𝑖𝑡𝑒𝑖𝑡 − 𝑣𝑒𝑟𝑧𝑤𝑎𝑘𝑘𝑖𝑛𝑔𝑠𝑐𝑜ë𝑓𝑓𝑖𝑐𝑖ë𝑛𝑡 [1/cm]
𝑥 = 𝑎𝑓𝑔𝑒𝑙𝑒𝑔𝑑𝑒 𝑤𝑒𝑔 [m]
Absorptie
𝜇𝑎 ≈ 𝑓 𝑏 𝜇𝑎 = 𝑎𝑏𝑠𝑜𝑟𝑝𝑡𝑖𝑒𝑣𝑒𝑟𝑧𝑤𝑎𝑘𝑘𝑖𝑛𝑔𝑠𝑐𝑜ë𝑓𝑓𝑖𝑐𝑖ë𝑛𝑡 [1/cm]
𝑓 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑖𝑒 𝑣𝑎𝑛 𝑑𝑒 𝑔𝑜𝑙𝑓 [Hz]
𝑏 = 𝑏𝑒𝑟𝑒𝑖𝑘 𝑡𝑢𝑠𝑠𝑒𝑛 [0.7 ; 1.2]
Ultrasound Doppler-effect – stationaire zender
𝑐 ± 𝑣 ∙ cos 𝛼 𝑓1 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑖𝑒 𝑤𝑎𝑎𝑟𝑔𝑒𝑛𝑜𝑚𝑒𝑛 𝑑𝑜𝑜𝑟 𝑑𝑒 𝑐𝑒𝑙 [Hz]
𝑓1 = ( ) ∙ 𝑓0
𝑐 𝑐 = 𝑔𝑒𝑙𝑢𝑖𝑑𝑠𝑠𝑛𝑒𝑙ℎ𝑒𝑖𝑑 𝑖𝑛 ℎ𝑒𝑡 𝑔𝑒𝑘𝑒𝑛𝑑𝑒 𝑚𝑒𝑑𝑖𝑢𝑚 [m/s]
𝑣 = 𝑠𝑛𝑒𝑙ℎ𝑒𝑖𝑑 𝑣/𝑒 𝑏𝑒𝑤𝑒𝑔𝑒𝑛𝑑 𝑜𝑏𝑗𝑒𝑐𝑡 [m/s]
𝛼 = ℎ𝑜𝑒𝑘 𝑡𝑜𝑣 𝑑𝑒 𝑔𝑒𝑙𝑢𝑖𝑑𝑠𝑏𝑟𝑜𝑛 [rad of °]
𝑓0 = 𝑧𝑒𝑛𝑑𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑖𝑒 [Hz]
Ultrasound Doppler-effect – stationaire ontvanger
𝑐 𝑓2 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑖𝑒 𝑤𝑎𝑎𝑟𝑔𝑒𝑛𝑜𝑚𝑒𝑛 𝑑𝑜𝑜𝑟 𝑑𝑒 𝑜𝑛𝑡𝑣𝑎𝑛𝑔𝑒𝑟 [Hz]
𝑓2 = ( ) ∙ 𝑓1
𝑐 ∓ 𝑣 ∙ cos 𝛽
𝑓1 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑖𝑒 𝑤𝑎𝑎𝑟𝑔𝑒𝑛𝑜𝑚𝑒𝑛 𝑑𝑜𝑜𝑟 𝑑𝑒 𝑐𝑒𝑙 [Hz]
𝑐 = 𝑔𝑒𝑙𝑢𝑖𝑑𝑠𝑠𝑛𝑒𝑙ℎ𝑒𝑖𝑑 𝑖𝑛 ℎ𝑒𝑡 𝑔𝑒𝑘𝑒𝑛𝑑𝑒 𝑚𝑒𝑑𝑖𝑢𝑚 [m/s]
𝑣 = 𝑠𝑛𝑒𝑙ℎ𝑒𝑖𝑑 𝑣/𝑒 𝑏𝑒𝑤𝑒𝑔𝑒𝑛𝑑 𝑜𝑏𝑗𝑒𝑐𝑡 [m/s]
𝛽 = ℎ𝑜𝑒𝑘 𝑡𝑜𝑣 𝑑𝑒 𝑜𝑛𝑡𝑣𝑎𝑛𝑔𝑒𝑟 [rad of °]
Frequentieverschuiving
(±𝑣 ∙ cos 𝛼 ± 𝑣 ∙ cos 𝛽) 𝑓2 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑖𝑒 𝑤𝑎𝑎𝑟𝑔𝑒𝑛𝑜𝑚𝑒𝑛 𝑑𝑜𝑜𝑟 𝑑𝑒 𝑜𝑛𝑡𝑣𝑎𝑛𝑔𝑒𝑟 [Hz]
∆𝑓 = 𝑓2 − 𝑓0 = ∙ 𝑓0
𝑐 𝑐 = 𝑔𝑒𝑙𝑢𝑖𝑑𝑠𝑠𝑛𝑒𝑙ℎ𝑒𝑖𝑑 𝑖𝑛 ℎ𝑒𝑡 𝑔𝑒𝑘𝑒𝑛𝑑𝑒 𝑚𝑒𝑑𝑖𝑢𝑚 [m/s]
𝑣 = 𝑠𝑛𝑒𝑙ℎ𝑒𝑖𝑑 𝑣/𝑒 𝑏𝑒𝑤𝑒𝑔𝑒𝑛𝑑 𝑜𝑏𝑗𝑒𝑐𝑡 [m/s]
𝛼 = ℎ𝑜𝑒𝑘 𝑡𝑜𝑣 𝑑𝑒 𝑔𝑒𝑙𝑢𝑖𝑑𝑠𝑏𝑟𝑜𝑛 [rad of °]
𝛽 = ℎ𝑜𝑒𝑘 𝑡𝑜𝑣 𝑑𝑒 𝑜𝑛𝑡𝑣𝑎𝑛𝑔𝑒𝑟 [rad of °]
𝑓0 = 𝑧𝑒𝑛𝑑𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑖𝑒 [Hz]
Bloedstroomsnelheid
±∆𝑓 ∙ 𝑐 𝑣 = 𝑏𝑙𝑜𝑒𝑑𝑠𝑡𝑟𝑜𝑜𝑚𝑠𝑛𝑒𝑙ℎ𝑒𝑖𝑑 [m/s]
𝑣=
2 ∙ 𝑓0 ∙ cos 𝛼 ∆𝑓 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑖𝑒𝑣𝑒𝑟𝑠𝑐ℎ𝑢𝑖𝑣𝑖𝑛𝑔 [Hz]
𝑐 = 𝑔𝑒𝑙𝑢𝑖𝑑𝑠𝑠𝑛𝑒𝑙ℎ𝑒𝑖𝑑 𝑖𝑛 ℎ𝑒𝑡 𝑔𝑒𝑘𝑒𝑛𝑑𝑒 𝑚𝑒𝑑𝑖𝑢𝑚 [m/s]
𝛼 = ℎ𝑜𝑒𝑘 𝑡𝑜𝑣 𝑑𝑒 𝑔𝑒𝑙𝑢𝑖𝑑𝑠𝑏𝑟𝑜𝑛 [rad of °]
𝑓0 = 𝑧𝑒𝑛𝑑𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑖𝑒 [Hz]
±2 ∙ 𝑣 ∙ cos 𝛼 𝑣 = 𝑏𝑙𝑜𝑒𝑑𝑠𝑡𝑟𝑜𝑜𝑚𝑠𝑛𝑒𝑙ℎ𝑒𝑖𝑑 [m/s]
∆𝑓 = ∙ 𝑓0
𝑐 ∆𝑓 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑖𝑒𝑣𝑒𝑟𝑠𝑐ℎ𝑢𝑖𝑣𝑖𝑛𝑔 [Hz]
𝑐 = 𝑔𝑒𝑙𝑢𝑖𝑑𝑠𝑠𝑛𝑒𝑙ℎ𝑒𝑖𝑑 𝑖𝑛 ℎ𝑒𝑡 𝑔𝑒𝑘𝑒𝑛𝑑𝑒 𝑚𝑒𝑑𝑖𝑢𝑚 [m/s]
𝛼 = ℎ𝑜𝑒𝑘 𝑡𝑜𝑣 𝑑𝑒 𝑔𝑒𝑙𝑢𝑖𝑑𝑠𝑏𝑟𝑜𝑛 [rad of °]
𝑓0 = 𝑧𝑒𝑛𝑑𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑡𝑖𝑒 [Hz]
Formularium medische beeldvorming Céline De Munter
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller celineafroditidemunter. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $6.96. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
67474 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now