This paper proposes a novel strategy to find the best reference homography in mosaics from video sequences. The reference homography globally minimizes the distortions induced on each image frame by the mosaic homography itself. This method is designed for planar mosaics on which a bad choice of the first reference image frame can lead to severe distortions after concatenating several successiv...

As an extension of the Four-Color Theorem it is conjectured that every planar graph of odd-girth at least 2k + 1 admits a homomorphism to PC2k = (Z 2 , {e1, e2, · · · , e2k, J}) where ei’s are standard basis and J is all 1 vector. Noting that PC2k itself is of odd-girth 2k + 1, in this work we show that if the conjecture is true, then PC2k is an optimal such a graph both with respect to number ...

This paper presents a template matching approach to high accuracy detection and tracking of perspectively distorted objects. To this end we propose a robust match metric that allows significant perspective shape changes. Using a coarse-to-fine representation for the detection of the template further increases efficiency. Once a template is detected at interactive frame-rate, we immediately swit...

Magnetically levitated planar actuators are developed as alternatives to xy-drives constructed of stacked linear motors. Although the translator of these ironless planar actuators can move over relatively large distances in the xy-plane only, it has to be controlled in six degrees-of-freedom (DOF) because of the active magnetic bearing. The advantage of magnetically levitated planar actuators i...

AbstractWe propose a framework for aligning and fusing multiple images into single view using neural image representations (NIRs), also known as implicit or coordinate-based representations. Our targets burst that exhibit camera ego motion potential changes in the scene. We describe different strategies alignment depending on nature of scene motion—namely, perspective planar (i.e., homography),...

A repetitive crystal-like pattern is spontaneously formed upon the twisting of straight ribbons. The pattern is akin to a tessellation with isosceles triangles, and it can easily be demonstrated with ribbons cut from an overhead transparency. We give a general description of developable ribbons using a ruled procedure where ribbons are uniquely described by two generating functions. This constr...

The limited bandwidth of sensor-based feedback control, restricts the execution speed of a force controlled planar contour following task if the shape of the workpiece is unknown. This paper shows how appropriate feedforward control of the task frame orientation, calculated on-line from an eye-in-hand camera image, results in a faster or more accurate executed task. However, keeping the contour...

It is well known that given four point correspondences under perspectivity, we uniquely can determine a projectively invariant reference frame for planar scenes. We extend this result to all semi-diierential data correspondences having enough degrees of freedom to perform resection. For example, three points together with rst and second curve derivatives in one of them suuce for unique frame de...

We describe a new algorithm for computing the camera heading for a multi{frame sequence of tracked points where the camera translates in a constant direction. We also adapt our previous general{motion algorithm to recover the complete structure and motion. We experimentally compare our approach to a standard two{frame algorithm and to the maximum likelihood estimate. We discuss the ipping ambig...