NDLI: Matching constraints and the joint image

Content Provider	IEEE Xplore Digital Library
Author	Triggs, B.
Copyright Year	1995
Description	Author affiliation: LIFIA, INRIA, Grenoble, France (Triggs, B.)
Abstract	The paper studies the geometry of multi image perspective projection and the matching constraints that this induces on image measurements. The combined image projections define a 3D joint image subspace of the space of combined homogeneous image coordinates. This is a complete projective replica of the 3D world in image coordinates. Its location encodes the imaging geometry and is captured by the 4 index joint image Grassmannian tensor. Projective reconstruction in the joint image is a canonical process requiring only a simple rescaling of image coordinates. Reconstruction in world coordinates amounts to a choice of basis in the joint image. The matching constraints are multilinear tensorial equations in image coordinates that tell whether tokens in different images could be the projections of a single world token. For 2D images of 3D points there are exactly three basic types: the epipolar constraint, A. Shashua's (1995) trilinear one, and a new quadrilinear 4 image one. For images of lines, R. Hartley's (1994) trilinear constraint is the only type. The coefficients of the matching constraints are tensors built directly from the joint image Grassmannian. Their complex algebraic interdependency is captured by quadratic structural simplicity constraints on the Grassmannian.<>
Starting Page	338
Ending Page	343
File Size	711066
Page Count	6
File Format	PDF
ISBN	0818670428
DOI	10.1109/ICCV.1995.466920
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1995-06-20
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Tensile stress Image reconstruction Geometry Differential equations Stereo image processing Calculus Mathematics Layout Reflection
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

Differential matching constraints

Three-Dimensional Reconstruction of the Microstructure Surface from its Stereo Images

Inferring segmented surface description from stereo data

Reconstruction from Plane Mirror Reflection

Tales of shape and radiance in multiview stereo

Pipeline stereo matching in binary images

Multiperspective stereo matching and volumetric reconstruction

Efficient dense depth estimation from dense multiperspective panoramas

Scalable active matching

Matching constraints and the joint image

Similar Documents

Differential matching constraints

Three-Dimensional Reconstruction of the Microstructure Surface from its Stereo Images

Inferring segmented surface description from stereo data

Reconstruction from Plane Mirror Reflection

Tales of shape and radiance in multiview stereo

Pipeline stereo matching in binary images

Multiperspective stereo matching and volumetric reconstruction

Efficient dense depth estimation from dense multiperspective panoramas

Scalable active matching

Matching constraints and the joint image