Results 101 to 110 of about 3,889,100 (366)
Differential Invariants of Conformal and Projective Surfaces
We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential invariant. The proof is based
Evelyne Hubert, Peter J. Olver
doaj
SORM DG - an efficient SORM based on differential geometry
The first order reliability method (FORM) efficiently performs first order structural reliability analysis, but with limited accuracy. On the other hand, the traditional second order reliability method (SORM) was established to improve the results of ...
Emmanoel Guasti Ferreira+3 more
doaj +1 more source
Automated rapidplan model validation using Eclipse scripting API
Abstract RapidPlan offers efficiency gains and quality improvements in treatment planning. Prior to its use in the clinic, it requires an extensive validation procedure in which established clinical plans and those generated by the model are compared. The manual iterative nature of this process is resource intensive, as numerous iterations are required
Bradley Beeksma+2 more
wiley +1 more source
Affine differential geometry of osculating hypersurfaces
Osculating surfaces of second order have been studied in classical affine differential geometry [1]. In this article we generalize this notion to osculating hypersurfaces of higher order of hypersurfaces in Euclidean n-space.
Kazimieras Navickis
doaj +1 more source
Abstract Purpose The aim of this work was to report on the optimization, commissioning, and validation of a beam model using a commercial independent dose verification software RadCalc version 7.2 (Lifeline Software Inc, Tyler, TX, USA), along with 4 years of experience employing RadCalc for offline and online monitor unit (MU) verification on the ...
Urszula Jelen+3 more
wiley +1 more source
Abstract Purpose Stereotactic radiotherapy (SRT) is a highly effective treatment with precision for small, localized lesions. Proton therapy, characterized by the Bragg peak, offers superior dose conformity compared to photon‐based approaches. However, challenges remain in minimizing lateral penumbra and optimizing dose delivery, particularly for small
Chen‐Yu Chou+3 more
wiley +1 more source
Localization accuracy of 6‐second CBCT for lung IGRT with various breathing patterns
Abstract Purpose The 6‐second cone beam computed tomography (CBCT) acquisition of the Ethos HyperSight (Varian Medical Systems, Inc. Palo Alto, CA, USA) on‐board imaging system offers benefits, but could be too fast to accurately capture an average target position in a free‐breathing lung cancer patient. This study aimed to ascertain whether a 6‐second
Jihye Koo+5 more
wiley +1 more source
Differential Geometry of Microlinear Frolicher Spaces II [PDF]
In this paper, as the second in our series of papers on differential geometry of microlinear Frolicher spaces, we study differenital forms. The principal result is that the exterior differentiation is uniquely determined geometrically, just as grad (ient)
Nishimura, Hirokazu
core +1 more source
Abstract Purpose Histotripsy is a focal tumor therapy that utilizes focused ultrasound (US) to mechanically destroy tissue. To overcome visualization limitations of diagnostic US‐guidance, C‐arm cone beam CT (CBCT)‐guided histotripsy is being developed, for which a mobile C‐arm could increase accessibility. CBCT‐guided histotripsy uses a phantom with a
Grace M. Minesinger+5 more
wiley +1 more source
Abstract Purpose To create and conduct a comprehensive onsite end‐to‐end dosimetry audit to assess treatment accuracy of spine, lung, and soft tissue Stereotactic Body Radiotherapy (SBRT) across Australian and New Zealand (ANZ) radiotherapy centers. Methods The Australian Clinical Dosimetry Service (ACDS) anthropomorphic thorax phantom underwent a CT ...
Maddison Shaw+8 more
wiley +1 more source