On the classification of views of piecewise smooth objects
Image and Vision Computing - Special issue: papers from the second Alvey Vision Conference
Image understanding 1985-86
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Segmentation through Variable-Order Surface Fitting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Solid shape
The geometry of view space of opaque objects bounded by smooth surfaces
Artificial Intelligence
Computing exact aspect graphs of curved objects: solid of revolution
International Journal of Computer Vision
Visibility, occlusion, and the aspect graph
International Journal of Computer Vision
Efficiently Computing and Representing Aspect Graphs of Polyhedral Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Global bifurcation sets and stable projections of nonsingular algebraic surfaces
International Journal of Computer Vision
Aspects graphs of solids of revolution
Aspects graphs of solids of revolution
Computing exact aspect graphs of curved objects: algebraic surfaces
International Journal of Computer Vision
Algebraic and numeric techniques in modeling and robotics
Algebraic and numeric techniques in modeling and robotics
Parabolic curves of evolving surfaces
International Journal of Computer Vision
Generic Sign Systems in Medical Imaging
IEEE Computer Graphics and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Arrangement: A Spatial Relation Between Parts for Evaluating Similarity of Tomographic Section
IEEE Transactions on Pattern Analysis and Machine Intelligence
On reconstructing Curved Object Boundaries from Sparse Sets of X-Ray Images
CVRMed '95 Proceedings of the First International Conference on Computer Vision, Virtual Reality and Robotics in Medicine
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In this paper we address the problem of computing the aspect graph of an object from volumetric image data, with applications in medical image analysis and interpretation. Anatomical surfaces are assumed to be smooth and are identified as the zero set of a three-dimensional density function (e.g., a CT, MR, or ultrasound image). The orthographic-projection aspect graph is constructed partitioning the view sphere at infinity into maximal regions bounded visual event curves. These events are the intersections of the view sphere with surfaces ruled singular tangent lines that graze the object's surface along a set of critical curves. For each visual event the proposed algorithm constructs a new density function from the original one and its derivatives, and computes the corresponding critical curve as the intersection of the object's surface with the zero set of the new density function. Once the critical curves have been traced, the regions of the sphere delineated the corresponding visual events are constructed through cell decomposition, and a representative aspect is constructed for each region computing the occluding contour for a sample viewing direction. A preliminary implementation of the proposed approach has been constructed and experiments with synthetic data and real medical data are presented. Extensions to the sectional imaging case are also discussed.