This paper presents a new approach for constructing a consistent (non-manifold) mesh based on non-binary datasets. Mesh generation is the method of choice if a surface is extracted based on labeled volumetric datasets. In most cases, the traditional Marching Cubes algorithm or one of its extensions is applied for generating meshes of binary labeled input data. However, for different – especiall...

In this note we present an implementation of the fast marching algorithm for solving Eikonal equations that reduces the original run-time from O(N logN) to linear. This lower run-time cost is obtained while keeping an error bound of the same order of magnitude as the original algorithm. This improvement is achieved introducing the straight forward untidy priority queue, obtained via a quantizat...

Abslracl. We dcscribe a thcorctical formulation for stereo in terms of the Bayesian approach to vision and rclatc it to psychophysical experiments. The formulation enables us to integrate the depth information from dilI'erent types of matching primitives, or from different vision modules. Wc solvc the correspondence problem using comparibiliry constraints bctwecn fcatures and prior assumprions ...

This paper describes extensions of the generalized summation-by-parts (GSBP) framework to the approximation of the second derivative with a variable coefficient and to time integration. GSBP operators for the second derivative lead to more efficient discretizations, relative to the classical finite-difference SBP approach, as they can require fewer nodes for a given order of accuracy. Similarly...

Bacteria exist in a variety of groups of shapes, sizes, and single or multiple cell formations. In this paper, the level set shape reconstruction technique, the method of moments, and the marching cubes methods are integrated in the high frequency band for imaging three dimensional bacteria. The time step and the resolution of the marching cubes method are investigated to smooth the error funct...

One of the most popular methods to solve a time-domain integral equation (TDIE) is the marching-on in time (MOT) method. Recently, a new method called marching-on in degree (MOD) that uses Laguerre polynomials as temporal basis functions has been developed to eliminate the late time instability of the MOT method. The use of an entire domain basis for the time variable eliminates the requirement...

We present an in-depth analysis of the sources variance in state-of-the-art unbiased volumetric transmittance estimators, and propose several new methods for improving their efficiency. These combine to produce a single estimator that is universally optimal relative prior work, with up orders magnitude lower at same cost, has zero any ray non-varying extinction. first reduce truncated power-ser...