NDLI: Shape distributions

Content Provider	ACM Digital Library
Author	Funkhouser, Thomas Osada, Robert Dobkin, David Chazelle, Bernard
Copyright Year	2002
Abstract	Measuring the similarity between 3D shapes is a fundamental problem, with applications in computer graphics, computer vision, molecular biology, and a variety of other fields. A challenging aspect of this problem is to find a suitable shape signature that can be constructed and compared quickly, while still discriminating between similar and dissimilar shapes.In this paper, we propose and analyze a method for computing shape signatures for arbitrary (possibly degenerate) 3D polygonal models. The key idea is to represent the signature of an object as a shape distribution sampled from a shape function measuring global geometric properties of an object. The primary motivation for this approach is to reduce the shape matching problem to the comparison of probability distributions, which is simpler than traditional shape matching methods that require pose registration, feature correspondence, or model fitting.We find that the dissimilarities between sampled distributions of simple shape functions (e.g., the distance between two random points on a surface) provide a robust method for discriminating between classes of objects (e.g., cars versus airplanes) in a moderately sized database, despite the presence of arbitrary translations, rotations, scales, mirrors, tessellations, simplifications, and model degeneracies. They can be evaluated quickly, and thus the proposed method could be applied as a pre-classifier in a complete shape-based retrieval or analysis system concerned with finding similar whole objects. The paper describes our early experiences using shape distributions for object classification and for interactive web-based retrieval of 3D models.
Starting Page	807
Ending Page	832
Page Count	26
File Format	PDF
ISSN	07300301
e-ISSN	15577368
DOI	10.1145/571647.571648
Volume Number	21
Issue Number	4
Journal	ACM Transactions on Graphics (TOG)
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2002-10-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Shape analysis Shape representation
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Geometric structures for three-dimensional shape representation

Progressive Shape-Distribution-Encoder for Learning 3D Shape Representation.

Meta-representation of shape families

Shape2Pose: human-centric shape analysis

Flexible representation analysis

A search engine for 3D models

Symmetrization

Functional maps: a flexible representation of maps between shapes

Hierarchical schemes for curve representation

Shape distributions

Similar Documents

Geometric structures for three-dimensional shape representation

Progressive Shape-Distribution-Encoder for Learning 3D Shape Representation.

Meta-representation of shape families

Shape2Pose: human-centric shape analysis

Flexible representation analysis

A search engine for 3D models

Symmetrization

Functional maps: a flexible representation of maps between shapes

Hierarchical schemes for curve representation

Shape distributions