A New Geometrical Interpretation of Trilinear Constraints

Methods for the Analysis of Visual Motion

Vision is a primary sense that allows human beings to interact with their environment and motion is one of the most important cues that vision can explore and utilize. In this thesis, we present computational approaches to the problems of inferring three-dimensional motion information and perceiving two-dimensional human motions from a sequence of images captured by a camera. The three-dimensio...

Trilinear Constraints Revisited: Generalized Trilinear Constraints and the Tensor Brightness Constraint

Multiview Geometry Revisited: a Diierential Geometric Approach

Multiview geometry has been traditionally developed in the framework of projective geometry, which is technically rather algebraic. In this paper, we show an alternative approach which uses notation and concepts from diierential geometry. We review all projective (multilinear) constraints and Euclidean in-variants associated with the problem of structure and motion recovery from n views. As a c...

A NEW MEMETIC SWARM OPTIMIZATION FOR SPECTRAL LAYOUT DESIGN OF BRACED FRAMES

For most practical purposes, true topology optimization of a braced frame should be synchronized with its sizing. An integrated layout optimization is formulated here to simultaneously account for both member sizing and bracings’ topology in such a problem. Code-specific seismic design spectrum is applied to unify the earthquake excitation. The problem is solved for minimal structural weight un...

Building a World Model for a Mobile Robot Using Dynamic Semantic Constraints

We are developing a new paradigm for a world model construction system which interprets a scene and builds a world model for a mobile robot using dynamic semantic constraints. The system represents a world model in hierarchical form from sensor-based maps to a global map with both numerical and symbolic descriptions. At the beginning of interpretation, sensory data (video and range images) are ...