Several participating media rendering algorithms are based on ray marching: they integrate the variations of radiance along the volume covered by the participating media by splitting the path of light into segments and sampling light contribution at each of those segments. This paper revisits the concept of ray marching not as an integration technique, but as the application of a numerical meth...

Decomposing 3D mesh into meaningful components is a challenging research field in computer graphics. In this paper, we propose a segmentation algorithm which focuses on cutting out individual prominent parts from original mesh based on prominent feature point and marching plane. Our method first extracts prominent feature points which reside on tips of each prominent part of a given mesh. And t...

The discrete ordinates method (DOM) and finite-volume method (FVM) are used extensively to solve the radiative transfer equation (RTE) in furnaces and combusting mixtures due to their balance between numerical efficiency and accuracy. These methods produce a system of coupled partial differential equations which are typically solved using spacemarching techniques since they converge rapidly for...

We present a method for extracting iso-surfaces and their intersections in 4D. Our work is a signiicant extension of the 3D Marching Lines algorithm with new orientation and implementation considerations. As a practical tool, it can be applied to track eeciently space curves, deened by diierential invariants, across increasing scale. Extraction d'iso-surfaces en 4D avec des applications la thho...

In this work, we apply a fast and accurate numerical method for solving fractional reaction-diffusion equations in unbounded domains. By using the Fourier-like spectral approach space, can effectively handle Laplace operator, leading to fully diagonal representation of Laplacian. To discretize underlying nonlinear systems, propose use an time marching scheme based on ETDRK4. Numerical examples ...

Abstract As the number of processor cores on supercomputers becomes larger and larger, algorithms with high degree of parallelism attract more attention. In this work, we propose a two-level space-time domain decomposition method for solving an inverse source problem associated with the time-dependent convection-diffusion equation in three dimensions. We introduce a mixed finite element/finite ...

We present two numerical methods for the fully nonlinear elliptic MongeAmpère equation. The first is a pseudo transient continuation method and the second is a pure pseudo time marching method. The methods are proved to converge for smooth solutions. We give numerical evidence that they are also able to capture the viscosity solution of the Monge-Ampère equation. Even in the case of the degener...

Breast cancer is the most common cancer among women. The effectiveness of treatment depends on early detection of the disease. Computer-aided diagnosis plays an increasingly important role in this field. Particularly, digital pathology has recently become of interest to a growing number of scientists. This work reports on advances in computer-aided breast cancer diagnosis based on the analysis ...