Topological Descriptors for 3D Surface Analysis

A study on topological descriptors for the analysis of 3D surface texture

Methods from computational topology are becoming more and more popular in computer vision and have shown to improve the state-of-the-art in several tasks. In this paper, we investigate the applicability of topological descriptors in the context of 3D surface analysis for the classification of different surface textures. We present a comprehensive study on topological descriptors, investigate th...

Application of topological and physicochemical descriptors: QSTR analysis of the toxicity of benzene derivatives

Laplace-Beltrami eigenvalues and topological features of eigenfunctions for statistical shape analysis

This paper proposes the use of the surface based Laplace-Beltrami and the volumetric Laplace eigenvalues and -functions as shape descriptors for the comparison and analysis of shapes. These spectral measures are isometry invariant and therefore allow for shape comparisons with minimal shape pre-processing. In particular, no registration, mapping, or remeshing is necessary. The discriminatory po...

Geodesic Iso-Curve Signature

During the last decade a set of surface descriptors have been presented describing local surface features. Recent approaches [COO15] have shown that augmenting local descriptors with topological information improves the correspondence and segmentation quality. In this paper we build upon the work of Tevs et al. [TBW∗11] and Sun and Abidi [SA01] by presenting a surface descriptor which captures ...

Analysing molecular polar surface descriptors to predict blood-brain barrier permeation

Molecular polar surface (PS) descriptors are very useful parameters in prediction of drug transport properties. They could be also used to investigate the blood-brain barrier (BBB) permeation rate for various chemical compounds. In this study, a dataset of drugs (n = 19) from various pharmacological groups was studied to estimate their potential properties to permeate across the BBB. Experiment...