9 research outputs found
[Sacrificium deo vespertinum notis musicis adornatum, sive Delectus vesperarum ...] : [opus III]
R. P. Peregrini PoeglRISM A/I P 496
Incensum dignum ... Hoc est Offertoria XIX, pro omnibus ... festis ... : Γ 4 vocibus canto, alto, tenore & basso. 2. violinis & organo concertantibus; alto viola & clarinis fivΓ© litius pro libitu omittendis ... Opus V
ab authore R. P. Peregrino PΓΆglRISM A/I P 4967Vorlageform des Erscheinungsvermerks: Typis & Sumptibus Monasterii, penes quod etiam Exemplaria reperienda sunt. NEOSTADII MDCCLI
ΠΠ°ΡΠΈΠ½ΡΠΊΠ°Ρ ΠΈ Π΄ΡΠ΅Π²Π½Π΅Π³ΡΠ΅ΡΠ΅ΡΠΊΠ°Ρ Π»Π΅ΠΊΡΠΈΠΊΠ° Π² Π½Π΅ΠΌΠ΅ΡΠΊΠΎΠΌ ΡΠ·ΡΠΊΠ΅. ΠΠ°ΠΈΠΌΡΡΠ²ΠΎΠ²Π°Π½Π½ΡΠ΅ ΠΈ ΠΈΠ½ΠΎΡΠ·ΡΡΠ½ΡΠ΅ ΡΠ»ΠΎΠ²Π° Π΄ΡΠ΅Π²Π½Π΅Π³ΠΎ ΠΏΡΠΎΠΈΡΡ ΠΎΠΆΠ΄Π΅Π½ΠΈΡ
ΠΡΠ½ΠΎΠ²Ρ ΠΊΠ½ΠΈΠ³ΠΈ ΡΠΎΡΡΠ°Π²Π»ΡΡΡ Π΄ΡΠ΅Π²Π½Π΅Π³ΡΠ΅ΡΠ΅ΡΠΊΠΎ-Π½Π΅ΠΌΠ΅ΡΠΊΠΈΠΉ ΠΈ Π»Π°ΡΠΈΠ½ΡΠΊΠΎ-Π½Π΅ΠΌΠ΅ΡΠΊΠΈΠΉ ΡΠ»ΠΎΠ²Π½ΠΈΠΊΠΈ, Π² ΠΊΠΎΡΠΎΡΡΠ΅ Π²ΠΎΡΠ»Π° Π»Π΅ΠΊΡΠΈΠΊΠ° ΠΊΠ»Π°ΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ·ΡΠΊΠΎΠ² ΠΈ ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΡΡΡΠΈΠ΅ Π·Π°ΠΈΠΌΡΡΠ²ΠΎΠ²Π°Π½ΠΈΡ Ρ Π΄Π΅ΡΠΈΠ²Π°ΡΠ°ΠΌΠΈ Π² Π½Π΅ΠΌΠ΅ΡΠΊΠΎΠΌ ΡΠ·ΡΠΊΠ΅.Π‘ΠΏΠΈΡΠΎΠΊ ΠΎΡΠ½ΠΎΠ²Π½ΡΡ
Π³ΡΠ΅ΠΊΠΎ-Π»Π°ΡΠΈΠ½ΡΠΊΠΈΡ
ΠΏΡΠ΅ΡΠΈΠΊΡΠΎΠ² ΠΈ ΠΈΡ
Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ: Ρ. 8-9. Π‘ΠΏΠΈΡΠΎΠΊ ΠΎΡΠ½ΠΎΠ²Π½ΡΡ
Π³ΡΠ΅ΠΊΠΎ-Π»Π°ΡΠΈΠ½ΡΠΊΠΈΡ
ΡΡΡΡΠΈΠΊΡΠΎΠ² ΠΈ ΠΈΡ
Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ: Ρ. 10. ΠΡΠ΅ΡΠ΅ΡΠΊΠΈΠΉ Π°Π»ΡΠ°Π²ΠΈΡ: Ρ. 11. ΠΠ½Π°ΠΊΠΈ ΡΠ΄Π°ΡΠ΅Π½ΠΈΡ ΠΈ ΠΏΡΠΈΠ΄ΡΡ
Π°Π½ΠΈΡ Π² Π³ΡΠ΅ΡΠ΅ΡΠΊΠΎΠΌ ΡΠ·ΡΠΊΠ΅, ΡΠ΄Π°ΡΠ΅Π½ΠΈΠ΅ Π² Π³ΡΠ΅ΡΠ΅ΡΠΊΠΎΠΌ ΠΈ Π»Π°ΡΠΈΠ½ΡΠΊΠΎΠΌ ΡΠ·ΡΠΊΠ°Ρ
: Ρ. 12. ΠΠ°ΡΠΈΠ½ΡΠΊΠΈΠ΅ ΠΈ Π³ΡΠ΅ΡΠ΅ΡΠΊΠΈΠ΅ ΠΊΡΡΠ»Π°ΡΡΠ΅ Π²ΡΡΠ°ΠΆΠ΅Π½ΠΈΡ: Ρ. 179-184. ΠΠ»ΡΠ°Π²ΠΈΡΠ½ΡΠΉ ΡΠΊΠ°Π·Π°ΡΠ΅Π»Ρ ΠΈΠ½ΠΎΡΠ·ΡΡΠ½ΡΡ
ΠΈ Π·Π°ΠΈΠΌΡΡΠ²ΠΎΠ²Π°Π½Π½ΡΡ
ΡΠ»ΠΎΠ² ΠΈ ΠΎΡΠ½ΠΎΠ²Π½ΡΡ
Π³ΡΠ΅ΠΊΠΎ-Π»Π°ΡΠΈΠ½ΡΠΊΠΈΡ
ΡΠ»ΠΎΠ²ΠΎΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΡΡ
ΡΠ»Π΅ΠΌΠ΅Π½ΡΠΎΠ², ΡΠΎΠ΄Π΅ΡΠΆΠ°ΡΠΈΡ
ΡΡ Π² ΠΊΠ½ΠΈΠ³Π΅: Ρ. 185-222. ΠΠΈΠ±Π».: Ρ. 223
874 A Cache-Aware Algorithm for PDEs on Hierarchical Data Structures
Abstract. A big challenge in implementing up to date simulation software for various applications is to bring together highly efficient mathematical methods on the one hand side and an efficient usage of modern computer archtitectures on the other hand. We concentrate on the solution of PDEs and demonstrate how to overcome the hereby occuring quandary between cache-efficiency and modern multilevel methods on adaptive grids. Our algorithm is based on stacks, the simplest possible and thus very cache-efficient data structures.
Use of a Monte-Carlo based probability matrix for 3D iterative reconstruction of MADPETβII data
under development, is characterized by a small diameter (71 mm), two radial layers of detectors and by small LSO crystal elements read out individually by avalanche photodiodes. To exploit this configuration, aimed at achieving high resolution and high sensitivity, we intend to reconstruct a FOV almost as large as the opening of the device. However, parallax errors may hinder this task. To overcome this problem, our objective was to implement fully 3D reconstruction techniques (MLEM and OSEM) based on an accurate description of the system response. The main feature of our method is the calculation of the probability system matrix by means of Monte-Carlo simulations. This approach requires the sorting of the simulated data into the matrix, a computationally expensive procedure hindered by the huge size of the matrix. In order to handle this problem, we have employed a database management system (DB2), which has proven to be a practical solution. In this work we also studied the effect of applying the underlying symmetries within the matrix to reduce statistical noise affecting the matrix elements and to save disk space. The results showed that this procedure increases the SNR and contrast. The transaxial resolution calculated from a phantom consisting of 7 point sources degraded slowly towards the edges of the FOV: for a source at r = 0 the FWHM was 1.0 mm, while for a source at r = 30 mm, the FWHM was 2.0 mm. The use of the symmetries allowed us to reduce the resolution degradation (FWHM = 1.4 mm for r = 30 mm). Despite the gaps between modules and between detectors, rotation of the scanner was not needed. For the 3D case, an important issue is to improve the accuracy and the statistical quality of the matrix. This is the objective of our future work. Index Terms β small animal PET, iterative reconstruction, Monte Carlo simulations, system probability matrix. I