Results 61 to 70 of about 1,053,247 (346)
On the automorphy of $l$-adic Galois representations with small residual image [PDF]
We prove new automorphy lifting theorems for essentially conjugate self-dual Galois representations into $GL_n$. Existing theorems require that the residual representation have 'big' image, in a certain technical sense.
Thorne, Jack
core +1 more source
A Proof of the Tree of Shapes in n-D [PDF]
In this paper, we prove that the self-dual morphological hierarchical structure computed on a n-D gray-level wellcomposed image u by the algorithm of G{\'e}raud et al. [1] is exactly the mathematical structure defined to be the tree of shape of u in Najman et al [2].
arxiv
Multi-frequency imaging of perfectly conducting cracks via boundary measurements [PDF]
Imaging of perfectly conducting crack(s) in a 2-D homogeneous medium using boundary data is studied. Based on the singular structure of the Multi-Static Response (MSR) matrix whose elements are normalized by an adequate test function at several frequencies, an imaging functional is introduced and analyzed. A non-iterative imaging procedure is proposed.
arxiv +1 more source
Mathematical Methods in Biomedical Imaging 2014 [PDF]
The last quarter century has witnessed major advancements that have brought biomedical imaging to a paramount status in life sciences. Generally speaking, the scope of biomedical imaging covers data acquisition, image reconstruction, and image analysis, involving theories, methods, systems, and applications. While many kinds of imaging modalities, such
Peng Feng+3 more
openaire +3 more sources
Bone‐wise rigid registration of femur, tibia, and fibula for the tracking of temporal changes
Abstract Background Multiple myeloma (MM) induces temporal alterations in bone structure, such as osteolytic bone lesions, which are challenging to identify through manual image interpretation. The large variation in radiologists' assessments, even at expert centers, further complicates diagnosis.
Arttu Ruohola+5 more
wiley +1 more source
Abstract Purpose This study evaluates the technical feasibility of adapting a surface monitoring system, designed for conventional four‐dimensional computed tomography (4DCT), to an intelligent, breathing‐adapted 4DCT and examines its potential to expand the currently limited range of supported surrogate systems.
Niklas Lackner+4 more
wiley +1 more source
Abstract Purpose This study evaluates the dosimetric and geometric precision of a virtual cone technique using CBCT‐based polymer gel dosimetry, enabling radiation delivery, and imaging readout within an identical spatial coordinate system. Methods We created a C# script for a virtual cone technique that generates a treatment plan with 10 gantry arcs ...
Tenzin Kunkyab+6 more
wiley +1 more source
Comprehensive clinical evaluation of novel 4DCT‐based lung function imaging methods
Abstract Purpose Methods have been developed that apply image processing to 4DCTs to generate 4DCT‐ventilation/perfusion lung imaging. Traditional methods for 4DCT‐ventilation rely on Hounsfield‐Unit (HU) density‐change methods and suffer from poor numerical robustness while not providing 4DCT‐perfusion data.
Ehsan Golkar+6 more
wiley +1 more source
The conic-gearing image of a complex number and a spinor-born surface geometry
Quaternion (Q-) mathematics formally contains many fragments of physical laws; in particular, the Hamiltonian for the Pauli equation automatically emerges in a space with Q-metric.
A. P. Yefremov+7 more
core +1 more source
The background of this study is the low learning outcomes of mathematics students, from 20 students only 7 students (35%) with an average value of 56.00.
Rahimah Rahimah
doaj +1 more source