Constructing quadratic birational maps via their complex rational representation
- We show how to make a quadratic planar map be birational via constructing its complex rational representation.
We present a method to construct quadratic birational planar maps, which is based on the observation that any rational planar map with complex rational representation possesses two special syzygies. After establishing the relation ...
Binary segmentation of medical images using implicit spline representations and deep learning
We propose a novel approach to image segmentation based on combining implicit spline representations with deep convolutional neural networks. This is done by predicting the control points of a bivariate spline function whose zero-set ...
Parameterization for polynomial curve approximation via residual deep neural networks
Finding the optimal parameterization for fitting a given sequence of data points with a parametric curve is a challenging problem that is equivalent to solving a highly non-linear system of equations. In this work, we propose the use ...
27 variants of Tutte's theorem for plane near-triangulations and an application to periodic spline surface fitting
- Geometric derivation of Tutte's theorem for plane near-triangulations.
- Proof ...
The theoretical basis of Floater's parameterization technique for triangulated surfaces is simultaneously a generalization (to non-barycentric weights) and a specialization (to a plane near-triangulation, which is an embedding of a ...
Single-sized spheres on surfaces (S4)
Surface representations play a major role in a variety of applications throughout a diverse collection of fields, such as biology, chemistry, physics, or architecture. From a simulation point of view, it is important to simulate the ...
SCN: Dilated silhouette convolutional network for video action recognition
Human action is a spatio-temporal motion sequence where strong inter-dependencies between the spatial geometry and temporal dynamics of motion exist. However, in existing literature for human action recognition from a video, there is a ...
Tubular parametric volume objects: Thickening a piecewise smooth 3D stick figure
In this paper, a volume parametric model is computed from a piecewise smooth skeleton. Generating a volume model from a stick figure S defined in 3D is an intuitive process: given S whose topology is a pseudo-graph and whose edges are ...