Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Dynamic 3D Models with Local and Global Deformations: Deformable Superquadrics
IEEE Transactions on Pattern Analysis and Machine Intelligence
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Partitioning tree image representation and generation from 3D geometric models
Proceedings of the conference on Graphics interface '92
Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
The union of balls and its dual shape
SCG '93 Proceedings of the ninth annual symposium on Computational geometry
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Volume Data and Wavelet Transforms
IEEE Computer Graphics and Applications
IEEE Computer Graphics and Applications
Three-dimensional representations for computer graphics and computer vision
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
Visualizing real-time multivariate data using preattentive processing
ACM Transactions on Modeling and Computer Simulation (TOMACS) - Special issue on graphics, animation, and visualization for simulation environments
Union of spheres (UoS) model for volumetric data
Proceedings of the eleventh annual symposium on Computational geometry
Parallel Computing in Networks of Workstations with Paralex
IEEE Transactions on Parallel and Distributed Systems
Voxel-Based Modeling for Layered Manufacturing
IEEE Computer Graphics and Applications
| Hi-index | 4.10 |
Given a set of points on the boundary of an object derived from volumetric data, how can one represent the object and, in particular visualize it from these points? This problem is addressed by our research on the representation of points at the boundary of an object as a union of simple boundary primitives. We use volumetric data in the customary sense, but an additional feature for our purpose is the availability of an inside-outside test for any point within the volume. Our problem is, therefore, a restricted form of the general problem of visualizing an arbitrary cloud of points. Representing and visualizing can be vague concepts. As an intuitive example of the kind of representation we are looking for, assume we have data somehow representing a human head. In the first approximation, the head can be represented by a sphere. The surface area and the volume of the sphere give us rough, but useful, estimates of the corresponding properties for the head. At the same time, the position and radius of the sphere give us an idea of the translation and scaling to apply to get the head in some canonical position. If, instead, we fit an ellipsoid, the additional degrees of freedom might let us obtain the parameters of the rotations to apply. Of course, we cannot independently obtain estimates for the scaling, volume, or area. The obtainable estimates depend on the context. Whereas human perception deals very well with these ambiguities, computer visualization tends to fall short. The new representation of volumetric data based on union of spheres shows promise in achieving stability.