In classical result, it is known that any P 1-bundle over a nonsingular curve T can be birationally transformed to P 1-bundle over a nonsingular curve T by an elementary transformation. Here, we can ask if it is also possible in 3-fold case. In other words, is it true that any nonsingular del Pezzo fibration over a nonsingular curve can be transformed to… (More)
A recent study finds that errors of omission are harder for programmers to detect than errors of commission. While several change recommendation systems already exist to prevent or reduce omission errors during software development, there have been very few studies on why errors of omission occur in practice and how such errors could be prevented. In order… (More)
We study properties of double covers of P 3 ramified along nodal sextic surfaces such as non-rationality, Q-factoriality, potential density, and elliptic fibration structures. We also consider some relevant problems over fields of positive characteristic. All varieties are assumed to be projective, normal, and defined over the field C unless otherwise… (More)
The generation of motion of an articulated body for computer animation is an expensive and time-consuming task. Recognition of human actions and interactions is important to video annotation, automated surveillance, and content-based video retrieval. This paper presents a new model-based human-intervention-free approach to articulated body motion tracking… (More)
We study log canonical thresholds on quartic threefolds, quintic fourfolds, and double spaces. As an application, we show that they have a Kähler-Einstein metric if they are general.
This paper deals with determining camera parameters for three dimensional scene reconstruction given an image with three known points on a single plane on the image. The problem is solved using a quaternion based set of nonlinear equations. The advantage of using quaternion is it can accelerate computation and allows us correct orientation interpolation, if… (More)
We prove that for n = 5, 6, 7 a nodal hypersurface of degree n in P 4 is factorial if it has at most (n − 1) 2 − 1 nodes.
Recognition of human interactions in a video is useful for video annotation, automated surveillance, and content-based video retrieval. This paper presents a model-based approach to motion tracking and recognition of human interactions using multi-layer finite state au-tomata (FA). The system is used for widely-available, static-background monocular… (More)
Reliable tracking of moving humans is essential to motion estimation, video surveillance and human-computer interface. This paper presents a new approach to human motion tracking that combines view-based and model-based techniques. Monocular color video is processed at both pixel level and object level. At the pixel level, a Gaussian mixture model is used… (More)