Contour Point Tracking by Enforcement of Rigidity Constraints

Abstract

Abstract

Multi-view correspondence by enforcement of rigidity constraints

“…In this text a framework is presented that is based on the approach described in [17]. The n-frame correspondence problem is herein formulated and solved as a global optimization procedure in the factorization context.…”

“…This geometric constraint can be translated into a rank constraint [14] on the matrix containing the coordinates of the extracted features (the measurement matrix). Actually, it can be shown that when features in different viewpoints are correctly aligned (and only then) this matrix is highly rank-deficient - [13,17].…”

“…The use of a non-linear cost function also presents the additional drawback of introducing local minima in the optimization process, thereby allowing non-optimal solutions to be retrieved. In [17] and [18] the authors presented new algorithms based on an alternative cost function, which will detect rank-deficiency based on the sum of the non-dominant singular values of the measurement matrix. This cost function allows the rigidity constraint to be applied to a multi-frame system.…”