Sagi Schein

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The vanishing ideal of a set of points, S ⊂ R n , is the set of all polynomials that attain the value of zero on all the points in S. Such ideals can be compactly represented using a small set of polynomials known as generators of the ideal. Here we describe and analyze an efficient procedure that constructs a set of generators of a vanishing ideal. Our(More)
Computer-aided surgical simulation is a topic of increasingly extensive research. Computer graphics, geometric modeling and finite-element analysis all play major roles in these simulations. Furthermore, real-time response, interactivity and accuracy are crucial components in any such simulation system. A major effort has been invested in recent years to(More)
Communicated by (xxxxxxxxxx) The recent introduction of programmable Graphics Processing Units (GPUs) has had a tremendous impact on real-time graphics. With their extended flexibility, GPUs can support tasks that go way beyond their originally intended rendering functionality. One domain where GPUs can be applicable is in accelerating geometric modeling(More)
Contemporary deformation tools let designers modify the geometry of deformed models. This approach can be restrictive if the designer wants to incorporate holes or gaps into a model while deforming it into a different shape. This work presents a variant of FFD that would let the designer incorporate iso-parametric discontinuities into the deformation(More)
Surgical simulations with the aid of computers is a topic of increasingly extensive research. Real-time response and interactivity are crucial components of any such system and a major effort has been invested in finding ways to improve the performance of existing systems. In this paper, we propose the use of a new variant of Free Form Deformations that(More)
—With the advent of the Internet, it is desirable to interpret and extract useful information from the Web. One major challenge in Web interface interpretation is to discover the semantic structure underlying a Web interface. Many heuristic approaches have been developed to discover and group semantically related interface objects. However, those approaches(More)