LRA: Local Rigid Averaging of Stretchable Non-rigid Shapes

Dan Raviv; Eduardo Bayro-Corrochano; Ramesh Raskar

doi:10.1007/s11263-017-1002-1

LRA: Local Rigid Averaging of Stretchable Non-rigid Shapes

Dan Raviv
, Eduardo Bayro-Corrochano
, Ramesh Raskar

School of Electrical Engineering

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

We present a novel algorithm for generating the mean structure of non-rigid stretchable shapes. Following an alignment process, which supports local affine deformations, we translate the search of the mean shape into a diagonalization problem where the structure is hidden within the kernel of a matrix. This is the first step required in many practical applications, where one needs to model bendable and stretchable shapes from multiple observations.

Original language	English GB
Pages (from-to)	132-144
Number of pages	13
Journal	International Journal of Computer Vision
Volume	124
Issue number	2
DOIs	https://doi.org/10.1007/s11263-017-1002-1
State	Published - 1 Sep 2017

Keywords

Affine invariant
Averaging shapes
Metric invariants
Non-rigid shapes
Non-rigid statistics
Shape space

ASJC Scopus subject areas

Software
Computer Vision and Pattern Recognition
Artificial Intelligence

Access to Document

10.1007/s11263-017-1002-1

Cite this

@article{8027453b4e304023a72919516c3b2457,

title = "LRA: Local Rigid Averaging of Stretchable Non-rigid Shapes",

abstract = "We present a novel algorithm for generating the mean structure of non-rigid stretchable shapes. Following an alignment process, which supports local affine deformations, we translate the search of the mean shape into a diagonalization problem where the structure is hidden within the kernel of a matrix. This is the first step required in many practical applications, where one needs to model bendable and stretchable shapes from multiple observations.",

keywords = "Affine invariant, Averaging shapes, Metric invariants, Non-rigid shapes, Non-rigid statistics, Shape space",

author = "Dan Raviv and Eduardo Bayro-Corrochano and Ramesh Raskar",

note = "Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media New York.",

year = "2017",

month = sep,

day = "1",

doi = "10.1007/s11263-017-1002-1",

language = "الإنجليزيّة",

volume = "124",

pages = "132--144",

journal = "International Journal of Computer Vision",

issn = "0920-5691",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - LRA

T2 - Local Rigid Averaging of Stretchable Non-rigid Shapes

AU - Raviv, Dan

AU - Bayro-Corrochano, Eduardo

AU - Raskar, Ramesh

PY - 2017/9/1

Y1 - 2017/9/1

N2 - We present a novel algorithm for generating the mean structure of non-rigid stretchable shapes. Following an alignment process, which supports local affine deformations, we translate the search of the mean shape into a diagonalization problem where the structure is hidden within the kernel of a matrix. This is the first step required in many practical applications, where one needs to model bendable and stretchable shapes from multiple observations.

AB - We present a novel algorithm for generating the mean structure of non-rigid stretchable shapes. Following an alignment process, which supports local affine deformations, we translate the search of the mean shape into a diagonalization problem where the structure is hidden within the kernel of a matrix. This is the first step required in many practical applications, where one needs to model bendable and stretchable shapes from multiple observations.

KW - Affine invariant

KW - Averaging shapes

KW - Metric invariants

KW - Non-rigid shapes

KW - Non-rigid statistics

KW - Shape space

UR - https://www.scopus.com/pages/publications/85015778071

U2 - 10.1007/s11263-017-1002-1

DO - 10.1007/s11263-017-1002-1

M3 - مقالة

SN - 0920-5691

VL - 124

SP - 132

EP - 144

JO - International Journal of Computer Vision

JF - International Journal of Computer Vision

IS - 2

ER -

LRA: Local Rigid Averaging of Stretchable Non-rigid Shapes

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this