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On the precision of geometric objects and some of its algorithmics
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mauroy, Nicolas De Nielsen, Frank |
| Copyright Year | 2001 |
| Abstract | We investigate in this report a way to represent real world objects from observed or computer simulated probings More precisely we start by studying the precision of a given geometric textured object Once the concept of precision of a texture for d objects is given we design algorithms to build texture maps with guaranteed quality from a set of sensor In chapter we de ne the concept of the precision of a texture and the precision of the picture of an object at a point on the surface of the object After giving general de nitions we focus on two camera models for which we can have explicit approximations of the precision This lets us bound the precision of any point belonging to the interior of a given triangle Then we extend the precision to arbitrary manifolds whose boundaries are meshes In chapter we design algorithms to build texture maps of an object with a guaranteed precision The rst step is to build a partition of the object so that we ensure that every part can be photographed Then we select a set of cameras that can cover most of the triangles with the precision required Finally we compute camera positions than can photograph the still uncovered vertices and edges of the partition In chapter to illustrate the concept we give a direct application of the al gorithm we describe a way of building approximations of an object with a given precision from the geometry and provided that we can probe the objects by taking pictures Loosely speaking the idea is to rst simplify the geometry of the object then to nd a set of cameras that covers the simpli ed object with the required precision Finally pictures are taken of the original objects and portions of those pictures are remapped onto the simpli ed object The two main features of our algorithm are it allows topological changes of the objects during the simpli cation of the geometry it controls the amount of information geometry and textures representing the object Finally we conclude by extending the concept of the algorithms to other applica tions and discuss future research |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.csl.sony.co.jp/person/nielsen/PAPERS/tr.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
