Coupled quasi‐harmonic bases. (6th May 2013)
- Record Type:
- Journal Article
- Title:
- Coupled quasi‐harmonic bases. (6th May 2013)
- Main Title:
- Coupled quasi‐harmonic bases
- Authors:
- Kovnatsky, A.
Bronstein, M. M.
Bronstein, A. M.
Glashoff, K.
Kimmel, R. - Abstract:
- Abstract: The use of Laplacian eigenbases has been shown to be fruitful in many computer graphics applications. Today, state‐of‐the‐art approaches to shape analysis, synthesis, and correspondence rely on these natural harmonic bases that allow using classical tools from harmonic analysis on manifolds. However, many applications involving multiple shapes are obstacled by the fact that Laplacian eigenbases computed independently on different shapes are often incompatible with each other. In this paper, we propose the construction of common approximate eigenbases for multiple shapes using approximate joint diagonalization algorithms, taking as input a set of corresponding functions (e.g. indicator functions of stable regions) on the two shapes. We illustrate the benefits of the proposed approach on tasks from shape editing, pose transfer, correspondence, and similarity.
- Is Part Of:
- Computer graphics forum. Volume 32:Number 2(2013)Part 4
- Journal:
- Computer graphics forum
- Issue:
- Volume 32:Number 2(2013)Part 4
- Issue Display:
- Volume 32, Issue 2, Part 4 (2013)
- Year:
- 2013
- Volume:
- 32
- Issue:
- 2
- Part:
- 4
- Issue Sort Value:
- 2013-0032-0002-0004
- Page Start:
- 439
- Page End:
- 448
- Publication Date:
- 2013-05-06
- Subjects:
- I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—Curve, surface, solid, and object representations
Computer graphics -- Periodicals
006.605 - Journal URLs:
- http://onlinelibrary.wiley.com/doi/10.1111/j.1467-8659.1982.tb00001.x/abstract ↗
http://onlinelibrary.wiley.com/ ↗
http://www.blackwell-synergy.com/servlet/useragent?func=showIssues&code=cgf ↗ - DOI:
- 10.1111/cgf.12064 ↗
- Languages:
- English
- ISSNs:
- 0167-7055
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3393.982000
British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 351.xml