NDLI: Visualized Deformation of Joinery to Understand Jointing Process by Homotopy Theory and Attaching Maps

Content Provider	IEEE Xplore Digital Library
Author	Ohmori, K. Kunii, T.L.
Copyright Year	2011
Abstract	Visualization is effective to understand complicated and sophisticated phenomena. Joiner, which joints pieces of woods and has complex process of jointing, is analyzed and modeled for visualization using homotopy theory and attaching maps. Joining the two pieces of woods changes their structures differently, which depends on jointing techniques. The paper describes difference between the tenon-mortise and lap joints in the fundamental group of homotopy. As the properties of the fundamental group are invariants, they are preserved through modeling from the abstract level to the specific one. When describing the process of jointing, two piece of woods are indirectly connected through a virtual attaching space using an attaching map, which avoids unnecessary consideration of piece relations. Using these concepts of homotopy, the process of jointing two pieces of woods are modeled from the abstract level in homotopy to the middle level of cellular structured spaces, to the specific one of physical presentation.
Starting Page	203
Ending Page	210
File Size	519066
Page Count	8
File Format	PDF
ISBN	9781457714535
DOI	10.1109/CW.2011.14
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-10-04
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Joining processes Joints Visualization Shape Strips Lifting equipment Mathematics homotopy lifting properties joinery woodworking attaching map homotopy
Content Type	Text
Resource Type	Article

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

A homotopy model for cup lifting

Taggram: Exploring Geo-data on Maps through a Tag Cloud-Based Visualization

Design and Construction of Auxiliary Equipment Used to Convert a Standard Woodworking Shaper for Use as a Finger-Jointing Machine

Basic Woodworking Joints

LIFTING HOMOTOPY T-ALGEBRA MAPS TO STRICT MAPS

Visualized construction process on virtual reality

Attaching sub-links on linear actuators of wearable robots for payload increase

Algebraic maps from spheres to spheres

Homotopy lifting maps on Hochschild cohomology and connections to deformation of algebras using reduction systems

Visualized Deformation of Joinery to Understand Jointing Process by Homotopy Theory and Attaching Maps

Similar Documents

A homotopy model for cup lifting

Taggram: Exploring Geo-data on Maps through a Tag Cloud-Based Visualization

Design and Construction of Auxiliary Equipment Used to Convert a Standard Woodworking Shaper for Use as a Finger-Jointing Machine

Basic Woodworking Joints

LIFTING HOMOTOPY T-ALGEBRA MAPS TO STRICT MAPS

Visualized construction process on virtual reality

Attaching sub-links on linear actuators of wearable robots for payload increase

Algebraic maps from spheres to spheres

Homotopy lifting maps on Hochschild cohomology and connections to deformation of algebras using reduction systems

Visualized Deformation of Joinery to Understand Jointing Process by Homotopy Theory and Attaching Maps