Determining Characteristic Views of a 3D Object by Visual Hulls and Hausdorff Distance

Abstract

Nowadays, with the exponential growing of 3D object representations in private databases or on the web, it is all the more required to match these objects from some views. To improve the results of their matching, we work on the characteristic views of an object. The aim of this study is to find how many characteristic views are required and what relative positions are optimal. This is the reason why the visual hulls are used. From some 2D masks, the nearest possible 3D mesh from the original object is computed. OpenGL views are used to build the visual hulls of 3D models from a given collection and then the distance between the visual hulls and the models are measured thanks to the Hausdorff distance. Then the best view parameters are deduced to reduce the distance. These shots show that three orthogonal views give results very close to the ones given by twelve views on a isocahedron. Some other results on the view resolution and the field of view are discussed.

3D Objects Retrieval using Geodesic Distance Based on Eikonal equation

“…This domain has numerous applications in the real world such as a robotics, artificial intelligence and more [1][2][3]. Many approaches have been proposed [4][5]. The first one is to use the characteristic views of 3D object for feature extraction.…”

“…This approach is most often taken in the recognition systems of 3D objects. D. Naji al [4] have proposed a method based on the characterization of 3D objects by a set of 7 characteristic views, A.Theetten& al [5] used the visual hulls to find how many characteristic views are required and what relative positions are optimal.…”

Representation of 3D and 4D Objects Based on an Associated Curved Space and a General Coordinate Transformation Invariant Description

“…Content-based description plays a prominent role in indexing and retrieval [1][2][3][4]. It is therefore important to develop invariant representations for 3D objects.…”

“…It is therefore important to develop invariant representations for 3D objects. An excellent review about indexing and retrieval of 3D objects can be found in [1][2][3]. As can be seen from this review, most of the proposed techniques are invariant under a very limited class of transformations, for example, translations, scaling, and rotations.…”