Soft correspondences for consistent collections of shape maps
Abstract/Contents
- Abstract
- Finding an informative, structure-preserving map between two shapes has been a long-standing problem in geometry processing, involving a variety of solution approaches and applications. Such a map should capture ambiguity in relations, minimize distortion, be smooth, and be invertible or symmetric. The increase in availability of 3D models has also fueled an interest in finding maps among collections of shapes, not just individual pairs. Such maps should be consistent with one another in the sense that all the maps agree on the correspondences between a given pair of shapes, regardless of how we compose the maps through other shapes. This quality can often be at odds with the desired qualities for an individual map. Furthermore, the operations for manipulating maps may appear simple mathematically, but they can become unwieldy if not outright impossible depending on the choice of representation. I will reconcile these issues by proposing soft correspondences as a way to represent maps, as well as cycle consistency optimization as a way to induce agreement within a collection of maps. I will also present several means of producing soft correspondences incorporating various forms of information and desired qualities.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2015 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Nguyen, Andy |
|---|---|
| Associated with | Stanford University, Department of Computer Science. |
| Primary advisor | Guibas, Leonidas J |
| Thesis advisor | Guibas, Leonidas J |
| Thesis advisor | Sahami, Mehran |
| Thesis advisor | Ye, Yinyu |
| Advisor | Sahami, Mehran |
| Advisor | Ye, Yinyu |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Andy Nguyen. |
|---|---|
| Note | Submitted to the Department of Computer Science. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2015. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2015 by An Le Nguyen
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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