Computing and processing correspondences with functional maps

M Ovsjanikov, E Corman, M Bronstein… - SIGGRAPH ASIA 2016 …, 2016 - dl.acm.org
Notions of similarity and correspondence between geometric shapes and images are central
to many tasks in geometry processing, computer vision, and computer graphics. The goal of …

Complex functional maps: A conformal link between tangent bundles

N Donati, E Corman, S Melzi… - Computer Graphics …, 2022 - Wiley Online Library
In this paper, we introduce complex functional maps, which extend the functional map
framework to conformal maps between tangent vector fields on surfaces. A key property of …

[HTML][HTML] SHREC'20: Shape correspondence with non-isometric deformations

RM Dyke, YK Lai, PL Rosin, S Zappalà, S Dykes… - Computers & …, 2020 - Elsevier
Estimating correspondence between two shapes continues to be a challenging problem in
geometry processing. Most current methods assume deformation to be near-isometric …

Improved functional mappings via product preservation

D Nogneng, S Melzi, E Rodola… - Computer Graphics …, 2018 - Wiley Online Library
In this paper, we consider the problem of information transfer across shapes and propose an
extension to the widely used functional map representation. Our main observation is that in …

Distortion-minimizing injective maps between surfaces

P Schmidt, J Born, M Campen, L Kobbelt - ACM Transactions on …, 2019 - dl.acm.org
The problem of discrete surface parametrization, ie mapping a mesh to a planar domain, has
been investigated extensively. We address the more general problem of mapping between …

Unsupervised cycle‐consistent deformation for shape matching

T Groueix, M Fisher, VG Kim… - Computer Graphics …, 2019 - Wiley Online Library
We propose a self‐supervised approach to deep surface deformation. Given a pair of
shapes, our algorithm directly predicts a parametric transformation from one shape to the …

Computational design of knit templates

B Jones, Y Mei, H Zhao, T Gotfrid, J Mankoff… - ACM Transactions on …, 2021 - dl.acm.org
We present an interactive design system for knitting that allows users to create template
patterns that can be fabricated using an industrial knitting machine. Our interactive design …

Dev2PQ: Planar quadrilateral strip remeshing of developable surfaces

F Verhoeven, A Vaxman, T Hoffmann… - ACM Transactions on …, 2022 - dl.acm.org
We introduce an algorithm to remesh triangle meshes representing developable surfaces to
planar quad dominant meshes. The output of our algorithm consists of planar quadrilateral …

Elastic correspondence between triangle meshes

D Ezuz, B Heeren, O Azencot, M Rumpf… - Computer Graphics …, 2019 - Wiley Online Library
We propose a novel approach for shape matching between triangular meshes that, in
contrast to existing methods, can match crease features. Our approach is based on a hybrid …

Intrinsic/extrinsic embedding for functional remeshing of 3D shapes

S Melzi, R Marin, P Musoni, F Bardon, M Tarini… - Computers & …, 2020 - Elsevier
Abstract 3D acquisition pipeline delivers 3D digital models accurately representing real-
world objects, improving the geometric accuracy and realism of virtual reconstructions …