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Found 15 papers, 10 papers with code
Training of deep cross-modality conversion models with a small dataset, and their application in megavoltage CT to kilovoltage CT conversion
The proposed method is based on CycleGAN with several extensions tailored for CT images, which aims at preserving the structure in the processed images and reducing the amount of training data.
Nested Subspace Arrangement for Representation of Relational Data
Studies on acquiring appropriate continuous representations of discrete objects, such as graphs and knowledge base data, have been conducted by many researchers in the field of machine learning.
Cubical Ripser: Software for computing persistent homology of image and volume data
We introduce Cubical Ripser for computing persistent homology of image and volume data (more precisely, weighted cubical complexes).
A closed linkage mechanism having the shape of a discrete Möbius strip
A closed linkage mechanism in three-dimensional space is an object comprising rigid bodies connected with hinges in a circular form like a rosary.
History and Overview Differential Geometry 14M06, 53A04
Overview of image-to-image translation using deep neural networks: denoising, super-resolution, modality-conversion, and reconstruction in medical imaging
We hope this article together with the codes will provide both an overview and the details of the key algorithms and will serve as a basis for developing new applications.
Medical Physics Image and Video Processing
Linkage Mechanisms Governed by Integrable Deformations of Discrete Space Curves
A linkage mechanism consists of rigid bodies assembled by joints which can be used to translate and transfer motion from one form in one place to another.
Exactly Solvable and Integrable Systems
Suspension splittings and self-maps of flag manifolds
If $G$ is a compact connected Lie group and $T$ is a maximal torus, we give a wedge decomposition of $\Sigma G/T$ by identifying families of idempotents in cohomology.
Algebraic Topology 55P40, 55S37 (Primary) 57T15 (Secondary)
Geometric representations of finite groups on real toric spaces
We give a combinatorial description of the $G$-module structure of the homology of $X^{\mathbb R}$.
Algebraic Topology Representation Theory 55U10, 14M25, 20C30, 20F55, 06A11
Polynomial expressions of $p$-ary auction functions
Let $\mathbb{F}_p$ be the finite field of prime order $p$.
Combinatorics 68R05, 12Y05
A linear algorithm for Brick Wang tiling
We generalise their result by providing a linear algorithm to decide and solve the tiling problem for arbitrary planar regions with holes.
Discrete Mathematics Graphics 05B45, 52C20, 68R10 I.3.3; I.3.6
Tetrisation of triangular meshes and its application in shape blending
The As-Rigid-As-Possible (ARAP) shape deformation framework is a versatile technique for morphing, surface modelling, and mesh editing.
Graphics Computational Geometry I.3.5; I.3.7
Anti-commutative Dual Complex Numbers and 2D Rigid Transformation
We introduce a new presentation of the two dimensional rigid transformation which is more concise and efficient than the standard matrix presentation.
Graphics Computational Geometry I.3.5; I.3.3
A concise parametrisation of affine transformation
Good parametrisations of affine transformations are essential to interpolation, deformation, and analysis of shape, motion, and animation.
Graphics 68U05, 65D18, 65F60, 15A16 I.3.5; I.3.7
Polynomial Expressions of Carries in p-ary Arithmetics
It is known that any $n$-variable function on a finite prime field of characteristic $p$ can be expressed as a polynomial over the same field with at most $p^n$ monomials.
Combinatorics Cryptography and Security Information Theory Information Theory Number Theory 11T06 (primary), 05E05, 68R05, 94A60
Three presentations of torus equivariant cohomology of flag manifolds
One of the main goals of the {\em equivariant Schubert calculus} is to study the $T$-equivariant cohomology $H^*_T(G/T)$ with regard to the $T$-action on $G/T$ by multiplication.
Algebraic Topology 57T15, 14M15
