Constructing solid models using implicit functions defining connectivity relationships among layers of an object to be modeled

MT Ensz, MA Ganter, CT Lim, DW Storti… - US Patent …, 2000 - Google Patents
A solid model is constructed from surface point data that represent layers of an object. The
model is represented as the level set of an implicit function that is fitted to the surface point …

An accelerated triangulation method for computing the skeletons of free-form solid models

GM Turkiyyah, DW Storti, M Ganter, H Chen… - Computer-Aided …, 1997 - Elsevier
Shape skeletons are powerful geometric abstractions that provide useful intermediate
representations for a number of geometric operations on solid models including feature …

Shape interrogation

S Hahmann, A Belyaev, L Busé, G Elber… - Shape analysis and …, 2008 - Springer
Shape interrogation methods are of increasing interest in geometric modeling as well as in
computer graphics. Originating 20 years ago from CAD/CAM applications where “class A” …

Medial description of gray-scale image structure by gradient-limited diffusion

DS Fritsch - Visualization in Biomedical Computing'92, 1992 - spiedigitallibrary.org
The representation of object shape in grayscale images is an important precursor to many
common image interpretation needs, including recognition, registration, and measurement …

[图书][B] Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis

JL Mari, F Hétroy-Wheeler, G Subsol - 2019 - books.google.com
Three-dimensional surface meshes are the most common discrete representation of the
exterior of a virtual shape. Extracting relevant geometric or topological features from them …

Tracking and describing deformable objects using active contour models

F Leymarie - 1990 - escholarship.mcgill.ca
In this thesis we consider a number of issues in developing techniques and algorithms to
automate the visual tracking of deformable objects in the plane. We have applied these …

A 3D Voronoi-based skeleton and associated surface features

M Hisada, AG Belyaev, TL Kunii - Proceedings Ninth Pacific …, 2001 - ieeexplore.ieee.org
The paper proposes an approach for stable extraction of the skeleton of a polygonal surface
and detection of surface features, ridges and ravines, corresponding to skeletal edges. The …

Detection of surface creases in range data

A Belyaev, E Anoshkina - Mathematics of Surfaces XI: 11th IMA …, 2005 - Springer
We propose a fully automatic and view-independent computational procedure for detecting
salient curvature extrema in range data. Our method consists of two major steps:(1) …

[图书][B] Advances in Digital and Computational Geometry

R Klette, A Rosenfeld, F Sloboda - 1998 - researchgate.net
ADVANCES IN DIGITAL AND COMPUTATIONAL GEOMETRY Page 1 ADVANCES IN
DIGITAL AND COMPUTATIONAL GEOMETRY Reinhard Klette Azriel Rosenfeld Fridrich …

Combining and segmenting geometric shapes into parts depending on symmetry type: Evidence from children and adults

L Zariņa, J Šķilters, S Umbraško… - i-Perception, 2024 - journals.sagepub.com
Symmetry is an important geometric feature that affects object segmentation into parts,
though De Winter and Wagemans note that partly occluded objects can still be identified by …