Shape correspondence with isometric and non-isometric deformations

RM Dyke, C Stride, YK Lai, PL Rosin, M Aubry… - 2019 - cronfa.swan.ac.uk
The registration of surfaces with non-rigid deformation, especially non-isometric
deformations, is a challenging problem. When applying such techniques to real scans, the …

Smooth shells: Multi-scale shape registration with functional maps

M Eisenberger, Z Lahner… - Proceedings of the IEEE …, 2020 - openaccess.thecvf.com
We propose a novel 3D shape correspondence method based on the iterative alignment of
so-called smooth shells. Smooth shells define a series of coarse-to-fine shape …

Bilateral maps for partial matching

O van Kaick, H Zhang… - Computer Graphics Forum, 2013 - Wiley Online Library
Feature‐driven analysis forms the basis of many shape processing tasks, where detected
feature points are characterized by local shape descriptors. Such descriptors have so far …

Non‐Isometric Shape Matching via Functional Maps on Landmark‐Adapted Bases

M Panine, M Kirgo, M Ovsjanikov - Computer graphics forum, 2022 - Wiley Online Library
We propose a principled approach for non‐isometric landmark‐preserving non‐rigid shape
matching. Our method is based on the functional map framework, but rather than promoting …

Functional maps: a flexible representation of maps between shapes

M Ovsjanikov, M Ben-Chen, J Solomon… - ACM Transactions on …, 2012 - dl.acm.org
We present a novel representation of maps between pairs of shapes that allows for efficient
inference and manipulation. Key to our approach is a generalization of the notion of map …

Matching 3D models with shape distributions

R Osada, T Funkhouser, B Chazelle… - … conference on shape …, 2001 - ieeexplore.ieee.org
Measuring the similarity between 3D shapes is a fundamental problem, with applications in
computer vision, molecular biology, computer graphics, and a variety of other fields. A …

Improving shape retrieval by spectral matching and meta similarity

A Egozi, Y Keller, H Guterman - IEEE Transactions on Image …, 2010 - ieeexplore.ieee.org
We propose two computational approaches for improving the retrieval of planar shapes.
First, we suggest a geometrically motivated quadratic similarity measure, that is optimized by …

Conformal geometry and its applications on 3D shape matching, recognition, and stitching

S Wang, Y Wang, M Jin, XD Gu… - IEEE Transactions on …, 2007 - ieeexplore.ieee.org
Three-dimensional shape matching is a fundamental issue in computer vision with many
applications such as shape registration, 3D object recognition, and classification. However …

Feature matching with bounded distortion

Y Lipman, S Yagev, R Poranne, DW Jacobs… - ACM Transactions on …, 2014 - dl.acm.org
We consider the problem of finding a geometrically consistent set of point matches between
two images. We assume that local descriptors have provided a set of candidate matches …

A genetic isometric shape correspondence algorithm with adaptive sampling

Y Sahillioğlu - ACM Transactions on Graphics (ToG), 2018 - dl.acm.org
We exploit the permutation creation ability of genetic optimization to find the permutation of
one point set that puts it into correspondence with another one. To this end, we provide a …