Diffusion geometry derived keypoints and local descriptors for 3D deformable shape analysis

Xupeng Wang, Mohammed Bennamoun, Ferdous Sohel, Hang Lei

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

Geometric analysis of three-dimensional (3D) surfaces with local deformations is a challenging task, required by mobile devices. In this paper, we propose a new local feature-based method derived from diffusion geometry, including a keypoint detector named persistence-based Heat Kernel Signature (pHKS), and a feature descriptor named Heat Propagation Strips (HeaPS). The pHKS detector first constructs a scalar field using the heat kernel signature function. The scalar field is generated at a small scale to capture fine geometric information of the local surface. Persistent homology is then computed to extract all the local maxima from the scalar field, and to provide a measure of persistence. Points with a high persistence are selected as pHKS keypoints. In order to describe a keypoint, an intrinsic support region is generated by the diffusion area. This support region is more robust than its geodesic distance counterpart, and provides a local surface with adaptive scale for subsequent feature description. The HeaPS descriptor is then developed by encoding the information contained in both the spatial and temporal domains of the heat kernel. We conducted several experiments to evaluate the effectiveness of the proposed method. On the TOSCA Dataset, the HeaPS descriptor achieved a high performance in terms of descriptiveness. The feature detector and descriptor were then tested on the SHREC 2010 Feature Detection and Description Dataset, and produced results that were better than the state-of-the-art methods. Finally, their application to shape retrieval was evaluated. The proposed pHKS detector and HeaPS descriptor achieved a notable improvement on the SHREC 2014 Human Dataset.

Original languageEnglish
Article number2150016X-1
JournalJournal of Circuits, Systems and Computers
Volume30
Issue number1
DOIs
Publication statusPublished - Jan 2021

Fingerprint

Dive into the research topics of 'Diffusion geometry derived keypoints and local descriptors for 3D deformable shape analysis'. Together they form a unique fingerprint.

Cite this