Collapsed cone convolution and analytical anisotropic algorithm dose calculations compared to VMC++ Monte Carlo simulations in clinical cases

The purpose of this work was to study and quantify the differences in dose distributions computed with some of the newest dose calculation algorithms available in commercial planning systems. The study was done for clinical cases originally calculated with pencil beam convolution (PBC) where large density inhomogeneities were present. Three other dose algorithms were used: a pencil beam like algorithm, the anisotropic analytic algorithm (AAA), a convolution superposition algorithm, collapsed cone convolution (CCC), and a Monte Carlo program, voxel Monte Carlo (VMC++). The dose calculation algorithms were compared under static field irradiations at 6 MV and 15 MV using multileaf collimators and hard wedges where necessary. Five clinical cases were studied: three lung and two breast cases. We found that, in terms of accuracy, the CCC algorithm performed better overall than AAA compared to VMC++, but AAA remains an attractive option for routine use in the clinic due to its short computation times. Dose differences between the different algorithms and VMC++ for the median value of the planning target volume (PTV) were typically 0.4% (range: 0.0 to 1.4%) in the lung and -1.3% (range: -2.1 to -0.6%) in the breast for the few cases we analysed. As expected, PTV coverage and dose homogeneity turned out to be more critical in the lung than in the breast cases with respect to the accuracy of the dose calculation. This was observed in the dose volume histograms obtained from the Monte Carlo simulations.

Quasi-Convolution Pyramidal Blurring

Efficient image blurring techniques based on the pyramid algorithm can be implemented on modern graphics hardware; thus, image blurring with arbitrary blur width is possible in real time even for large images. However, pyramidal blurring methods do not achieve the image quality provided by convolution filters; in particular, the shape of the corresponding filter kernel varies locally, which potentially results in objectionable rendering artifacts. In this work, a new analysis filter is designed that significantly reduces this variation for a particular pyramidal blurring technique. Moreover, the pyramidal blur algorithm is generalized to allow for a continuous variation of the blur width. Furthermore, an efficient implementation for programmable graphics hardware is presented. The proposed method is named “quasi-convolution pyramidal blurring” since the resulting effect is very close to image blurring based on a convolution filter for many applications.

A convolution model for energy transport in a therapeutic fast neutron beam

A three-dimensional model has been proposed that uses Monte Carlo and fast Fourier transform convolution techniques to calculate the dose distribution from a fast neutron beam. This method transports scattered neutrons and photons in the forward, lateral, and backward directions and protons, electrons, and positrons in the forward and lateral directions by convolving energy spread kernels with initial interaction available energy distributions. The primary neutron and photon spectrums have been derived from narrow beam attenuation measurements. The positions and strengths of the effective primary neutron, scattered neutron, and photon sources have been derived from dual ion chamber measurements. The size of the effective primary neutron source has been measured using a copper activation technique. Heterogeneous tissue calculations require a weighted sum of two convolutions for each component since the kernels must be invariant for FFT convolution. Comparisons between calculations and measurements were performed for several water and heterogeneous phantom geometries. ^

Convolution roots and differentiability of isotropic positive definite functions on spheres

We prove that any isotropic positive definite function on the sphere can be written as the spherical self-convolution of an isotropic real-valued function. It is known that isotropic positive definite functions on d-dimensional Euclidean space admit a continuous derivative of order [(d − 1)/2]. We show that the same holds true for isotropic positive definite functions on spheres and prove that this result is optimal for all odd dimensions.

Uniqueness of the Embedding Continuous Convolution Semigroup of a Gaussian Probability Measure on the Affine Group and an Application in Mathematical Finance

Let {μ(i)t}t≥0 ( i=1,2 ) be continuous convolution semigroups (c.c.s.) of probability measures on Aff(1) (the affine group on the real line). Suppose that μ(1)1=μ(2)1 . Assume furthermore that {μ(1)t}t≥0 is a Gaussian c.c.s. (in the sense that its generating distribution is a sum of a primitive distribution and a second-order differential operator). Then μ(1)t=μ(2)t for all t≥0 . We end up with a possible application in mathematical finance.

Sendschreiben an die Redakteure der in Leipzig erscheinenden Deutschen Kriegerzeitung : Wilucki, Oberlieutenant im 2. Linien-Inf.-Regt., Müller, Oberlieutenant in der Inf.-Garde-Division, Erdmannsdorf, Lieutenant im Leib-Inf.-Regt., v. Zychlinski, Lieutenant im Leib.-Inf.-Regt., Andrée, Lieutenant im Ingenieur-Corps

Boberach: Der Aufsatz "Wie denken Preußens Offiziere von einem deutschen Heere?" hat das Offizierskorps verletzt, daß sich gegen jede Mediatisierung Preußens wendet, weil Preußens Heer allein Deutschland vor dem Untergang retten kann

La crise cotonnière dans la Seine-Inf́erieure; ses causes et ses effets. Rapport au comité central.

Mode of access: Internet.

Understanding the INF Treaty.

Errata slip inserted.

Some inf'mation for mother : how one man answered the questions of a child about reproduction /

Caption title.

Battle fields and camp fires of the Thirty-Eighth : an authentic narrative and record of the organization of the Thirty-Eighth Regiment of Wis. Vol. Inf'y, and the part taken by it in the late war, a short biographical sketch of each commissioned officer, and the name, age at time of enlistment, nativity, residence and occupation of every enlisted man, with notes of incidents relating to them /

Reprint. Originally published: Milwaukee : Daily Wisconsin Printing House, 1866.

Recensio Observantis Minorum Provinciae S. Ioann. a Capistrano, per Hung. Austr. Inf. et Slavon. extensae; commentariis ethnol. philol. statist. geogr. hist. illustrata. Cum adnexa ad calcem mappa calcogr. prov. ...

Title on Spine: Recensio Provinciae S. Io. a Capistrano.

The INF Treaty : questions and answers.

"February 1988"--Cover.

In memoriam : Albert Craig Funkhouser (Co. F, 144 Inf., 36th Division), Paul Taylor Funkhouser (Co. B, 7th Machine Gun Bn., 3rd Division).

Includes index.