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| Content Provider | ACM Digital Library |
|---|---|
| Author | Pighin, Fred Lewis, J. P. |
| Abstract | The course presents an overview of the least-squares technique and its variants. A wide range of problems in computer graphics can be solved using the least-squares technique (LS). Many graphics problems can be seen as finding the best set of parameters for a model given some data, and usually these parameters can be estimated using a least-squares approaches. For instance, a surface can be determined using data and smoothness penalties, a trajectory can be predicted using previous information, joint angles can be determined from end effector positions, etc. All these problems and many others can be formulated as minimizing the sum of squares of the errors. Despite this apparent versatility, solving problems in the least-squares sense can produce poor results. This occurs when the nature of the problem error does not match the assumptions of the least-squares method. The course explains these assumptions and show how to circumvent some of them to apply LS to a wider range of problem. The focus of the course is to provide a practical understanding of the techniques. Each technique will be explained using the simple example of fitting a line through data, and then illustrated through its use in one or more computer graphics papers. |
| Starting Page | 1 |
| Ending Page | 57 |
| Page Count | 57 |
| File Format | |
| ISBN | 9781450318235 |
| DOI | 10.1145/1281500.1281598 |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 2007-08-05 |
| Publisher Place | New York |
| Access Restriction | Subscribed |
| Content Type | Text |
| Resource Type | Article |
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