| 000 -LEADER | |
|---|---|
| fixed length control field | nam a22 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 210205b xxu||||| |||| 00| 0 eng d |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 006.69338 |
| Item number | BAN |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bansal, Sumukh |
| 245 ## - TITLE STATEMENT | |
| Title | 3D shape deformations : a lie group based approach |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Gandhinagar |
| Name of publisher, distributor, etc | Dhirubhai Ambani Institute of Information and Communication Technology |
| Date of publication, distribution, etc | 2020 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | vii,113 p. |
| 500 ## - GENERAL NOTE | |
| General note | Tatu, Aditya, Thesis supervisor Student ID No. 201421002 Thesis (Ph.D.) -Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, 2020 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 3D shapes are ubiquitous in many fundamental tasks of computer graphics and geometry processing. For many applications, new shapes have to be generated from the existing ones, for which it it imperative to understand and model shape of an object and its deformation. This thesis focuses on shape deformations and its applications. Real world 3D objects undergo complex, often non-rigid deformations. One way to model such deformations is using local affine transformations. It is thus important for applications like 3D animation, to understand the structure of affine transformations and come up with robust and efficient computational tools on the set of affine transformations. With such tools, applications like interactive shape deformation and mesh interpolation can be effectively dealt with. In this thesis, an interpolation framework for affine transformations, based on a Lie group representation of a tetrahedron is proposed. The proposed framework provides a intuitive closed form interpolation in all cases in contrast to existing approaches and preserves properties like isometry, reversibility, and monotonic change of volume. The proposed Lie group representation of the tetrahedron is extended to represent triangular and tetrahedral meshes. A detailed analysis of the invariance of the representation and interpolation to some choices made, is provided in the thesis. We demonstrate the applicability of the framework for several applications like interactive shape deformation, shape interpolation, morphing, and deformation transfer. The proposed interactive shape deformation algorithm is close to being real-time, while the mesh interpolation algorithm is able to handle nonregistered meshes and large deformation cases. The interactive shape deformavi tion algorithm is amenable to data-driven methods, and we hope to explore datadriven methods using our mesh representation in near future. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Machine learning |
| Topical term or geographic name as entry element | Pattern recognition system |
| Topical term or geographic name as entry element | Three dimensional imaging |
| Topical term or geographic name as entry element | Three dimensional display system |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Tatu, Aditya |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://drsr.daiict.ac.in/handle/123456789/895 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Thesis and Dissertations |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Permanent Location | Current Location | Date acquired | Full call number | Barcode | Date last seen | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| DAIICT | DAIICT | 2020-09-22 | 006.69338 BAN | T00912 | 2021-02-05 | Thesis and Dissertations |