Isometry

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Lars Peter Müller - One of the best experts on this subject based on the ideXlab platform.

  • Percutaneous lateral ulnar collateral ligament reconstruction
    Knee Surgery Sports Traumatology Arthroscopy, 2013
    Co-Authors: Jens Dargel, Klaus Burkhart, Gregor Stein, Peer Eysel, Dietmar Pennig, Lars Peter Müller
    Abstract:

    Purpose Open surgical reconstruction of the lateral ulnar collateral ligament is the standard treatment for symptomatic posterolateral rotatory instability of the elbow. It involves dissection and retraction of the lateral elbow muscles, which have been shown to be secondary stabilizers of the lateral elbow. We introduce a new muscle-protecting technique for single-strand lateral ulnar collateral ligament reconstruction and report on the Isometry and primary stability when compared with a conventional muscle-splitting procedure. It was hypothesized that percutaneous lateral ulnar collateral ligament reconstruction provided Isometry over the range of motion and that stability was comparable with a conventional open procedure. Methods In sixteen human cadaver arms, the intact and the lateral collateral ligament complex-deficient situation was tested. Open lateral ulnar collateral ligament reconstruction was performed using a single-strand palmaris graft with humeral and ulnar tenodesis screw fixation. Posterolateral rotational stability was compared with a new reconstruction method, which percutaneously places a single-strand palmaris graft with humeral and ulnar tenodesis screw fixation. Results Both open and percutaneous lateral ulnar collateral ligament reconstruction provided Isometry over the range of motion and restored posterolateral stability to that of the intact situation. No significant differences between open and percutaneous reconstruction were found. Conclusions Percutaneous lateral ulnar collateral ligament reconstruction aims to preserve the lateral elbow muscles and to minimize soft tissue dissection. It has been shown that in an in vitro setup, this new procedure provides Isometry over the range of motion and sufficiently restores posterolateral rotatory stability.

  • Percutaneous lateral ulnar collateral ligament reconstruction.
    Knee Surgery Sports Traumatology Arthroscopy, 2012
    Co-Authors: Jens Dargel, Klaus Burkhart, Gregor Stein, Peer Eysel, Dietmar Pennig, Lars Peter Müller
    Abstract:

    Purpose Open surgical reconstruction of the lateral ulnar collateral ligament is the standard treatment for symptomatic posterolateral rotatory instability of the elbow. It involves dissection and retraction of the lateral elbow muscles, which have been shown to be secondary stabilizers of the lateral elbow. We introduce a new muscle-protecting technique for single-strand lateral ulnar collateral ligament reconstruction and report on the Isometry and primary stability when compared with a conventional muscle-splitting procedure. It was hypothesized that percutaneous lateral ulnar collateral ligament reconstruction provided Isometry over the range of motion and that stability was comparable with a conventional open procedure.

Jens Dargel - One of the best experts on this subject based on the ideXlab platform.

  • Percutaneous lateral ulnar collateral ligament reconstruction
    Knee Surgery Sports Traumatology Arthroscopy, 2013
    Co-Authors: Jens Dargel, Klaus Burkhart, Gregor Stein, Peer Eysel, Dietmar Pennig, Lars Peter Müller
    Abstract:

    Purpose Open surgical reconstruction of the lateral ulnar collateral ligament is the standard treatment for symptomatic posterolateral rotatory instability of the elbow. It involves dissection and retraction of the lateral elbow muscles, which have been shown to be secondary stabilizers of the lateral elbow. We introduce a new muscle-protecting technique for single-strand lateral ulnar collateral ligament reconstruction and report on the Isometry and primary stability when compared with a conventional muscle-splitting procedure. It was hypothesized that percutaneous lateral ulnar collateral ligament reconstruction provided Isometry over the range of motion and that stability was comparable with a conventional open procedure. Methods In sixteen human cadaver arms, the intact and the lateral collateral ligament complex-deficient situation was tested. Open lateral ulnar collateral ligament reconstruction was performed using a single-strand palmaris graft with humeral and ulnar tenodesis screw fixation. Posterolateral rotational stability was compared with a new reconstruction method, which percutaneously places a single-strand palmaris graft with humeral and ulnar tenodesis screw fixation. Results Both open and percutaneous lateral ulnar collateral ligament reconstruction provided Isometry over the range of motion and restored posterolateral stability to that of the intact situation. No significant differences between open and percutaneous reconstruction were found. Conclusions Percutaneous lateral ulnar collateral ligament reconstruction aims to preserve the lateral elbow muscles and to minimize soft tissue dissection. It has been shown that in an in vitro setup, this new procedure provides Isometry over the range of motion and sufficiently restores posterolateral rotatory stability.

  • Percutaneous lateral ulnar collateral ligament reconstruction.
    Knee Surgery Sports Traumatology Arthroscopy, 2012
    Co-Authors: Jens Dargel, Klaus Burkhart, Gregor Stein, Peer Eysel, Dietmar Pennig, Lars Peter Müller
    Abstract:

    Purpose Open surgical reconstruction of the lateral ulnar collateral ligament is the standard treatment for symptomatic posterolateral rotatory instability of the elbow. It involves dissection and retraction of the lateral elbow muscles, which have been shown to be secondary stabilizers of the lateral elbow. We introduce a new muscle-protecting technique for single-strand lateral ulnar collateral ligament reconstruction and report on the Isometry and primary stability when compared with a conventional muscle-splitting procedure. It was hypothesized that percutaneous lateral ulnar collateral ligament reconstruction provided Isometry over the range of motion and that stability was comparable with a conventional open procedure.

Yi Shen - One of the best experts on this subject based on the ideXlab platform.

  • sparse signals recovery from noisy measurements by orthogonal matching pursuit
    Inverse Problems and Imaging, 2015
    Co-Authors: Yi Shen, Song Li
    Abstract:

    Recently, many practical algorithms have been proposed to recover the sparse signal from fewer measurements. Orthogonal matching pursuit (OMP) is one of the most effective algorithm. In this paper, we use the restricted Isometry property to analysis OMP. We show that, under certain conditions based on the restricted Isometry property and the signals, OMP will recover the support of the sparse signal when measurements are corrupted by additive noise.

  • new bounds for restricted Isometry constants with coherent tight frames
    IEEE Transactions on Signal Processing, 2013
    Co-Authors: Junhong Lin, Yi Shen
    Abstract:

    This paper discusses reconstruction of a signal from undersampled data in the situation that the signal is sparse or approximately sparse in terms of a (possibly) highly overcomplete and coherent tight frame D via the l1-analysis optimization problem. Some new sufficient conditions on the D -restricted Isometry property are given to guarantee stable recovery of signals which are nearly sparse in terms of D, from undersampled data with minimal l1-norm of transform coefficients. One of the main results of this paper shows that if the D-restricted Isometry constant δs of the measurement matrix A satisfies δs <; 0.307 , then signals which are approximately s-sparse in terms of D are guaranteed to be stably recovered via the l1-analysis optimization problem. We point out that with the lemmas and the proof techniques developed in this paper, most of the sufficient conditions on the standard restricted Isometry property for stable recovery of nearly sparse signals via standard l1 -minimization, can be similarly extended to the general case of the D-restricted Isometry property for stable recovery of signals that are nearly sparse in terms of D via the l1-analysis optimization problem, yielding weaker conditions than previously available in the literature.

  • a remark on the restricted Isometry property in orthogonal matching pursuit
    IEEE Transactions on Information Theory, 2012
    Co-Authors: Qun Mo, Yi Shen
    Abstract:

    This paper demonstrates that if the restricted Isometry constant δK+1 of the measurement matrix A satisfies [δK+1 <; 1 √K+1] then a greedy algorithm called Orthogonal Matching Pursuit (OMP) can recover every K-sparse signal x in K iterations from Ax. By contrast, a matrix is also constructed with the restricted Isometry constant [δK+1 = 1 √K] such that OMP can not recover some K-sparse signal x in K iterations. This result positively verifies the conjecture given by Dai and Milenkovic in 2009.

  • a remark on the restricted Isometry property in orthogonal matching pursuit
    arXiv: Information Theory, 2012
    Co-Authors: Qun Mo, Yi Shen
    Abstract:

    This paper demonstrates that if the restricted Isometry constant $\delta_{K+1}$ of the measurement matrix $A$ satisfies $$ \delta_{K+1} < \frac{1}{\sqrt{K}+1}, $$ then a greedy algorithm called Orthogonal Matching Pursuit (OMP) can recover every $K$--sparse signal $\mathbf{x}$ in $K$ iterations from $A\x$. By contrast, a matrix is also constructed with the restricted Isometry constant $$ \delta_{K+1} = \frac{1}{\sqrt{K}} $$ such that OMP can not recover some $K$-sparse signal $\mathbf{x}$ in $K$ iterations. This result positively verifies the conjecture given by Dai and Milenkovic in 2009.

  • sparse signals recovery from noisy measurements by orthogonal matching pursuit
    arXiv: Functional Analysis, 2011
    Co-Authors: Yi Shen, Song Li
    Abstract:

    Recently, many practical algorithms have been proposed to recover the sparse signal from fewer measurements. Orthogonal matching pursuit (OMP) is one of the most effective algorithm. In this paper, we use the restricted Isometry property to analysis the algorithm. We show that, under certain conditions based on the restricted Isometry property and the signals, OMP will recover the support of the sparse signal when measurements are corrupted by additive noise.

Klaus Burkhart - One of the best experts on this subject based on the ideXlab platform.

  • Percutaneous lateral ulnar collateral ligament reconstruction
    Knee Surgery Sports Traumatology Arthroscopy, 2013
    Co-Authors: Jens Dargel, Klaus Burkhart, Gregor Stein, Peer Eysel, Dietmar Pennig, Lars Peter Müller
    Abstract:

    Purpose Open surgical reconstruction of the lateral ulnar collateral ligament is the standard treatment for symptomatic posterolateral rotatory instability of the elbow. It involves dissection and retraction of the lateral elbow muscles, which have been shown to be secondary stabilizers of the lateral elbow. We introduce a new muscle-protecting technique for single-strand lateral ulnar collateral ligament reconstruction and report on the Isometry and primary stability when compared with a conventional muscle-splitting procedure. It was hypothesized that percutaneous lateral ulnar collateral ligament reconstruction provided Isometry over the range of motion and that stability was comparable with a conventional open procedure. Methods In sixteen human cadaver arms, the intact and the lateral collateral ligament complex-deficient situation was tested. Open lateral ulnar collateral ligament reconstruction was performed using a single-strand palmaris graft with humeral and ulnar tenodesis screw fixation. Posterolateral rotational stability was compared with a new reconstruction method, which percutaneously places a single-strand palmaris graft with humeral and ulnar tenodesis screw fixation. Results Both open and percutaneous lateral ulnar collateral ligament reconstruction provided Isometry over the range of motion and restored posterolateral stability to that of the intact situation. No significant differences between open and percutaneous reconstruction were found. Conclusions Percutaneous lateral ulnar collateral ligament reconstruction aims to preserve the lateral elbow muscles and to minimize soft tissue dissection. It has been shown that in an in vitro setup, this new procedure provides Isometry over the range of motion and sufficiently restores posterolateral rotatory stability.

  • Percutaneous lateral ulnar collateral ligament reconstruction.
    Knee Surgery Sports Traumatology Arthroscopy, 2012
    Co-Authors: Jens Dargel, Klaus Burkhart, Gregor Stein, Peer Eysel, Dietmar Pennig, Lars Peter Müller
    Abstract:

    Purpose Open surgical reconstruction of the lateral ulnar collateral ligament is the standard treatment for symptomatic posterolateral rotatory instability of the elbow. It involves dissection and retraction of the lateral elbow muscles, which have been shown to be secondary stabilizers of the lateral elbow. We introduce a new muscle-protecting technique for single-strand lateral ulnar collateral ligament reconstruction and report on the Isometry and primary stability when compared with a conventional muscle-splitting procedure. It was hypothesized that percutaneous lateral ulnar collateral ligament reconstruction provided Isometry over the range of motion and that stability was comparable with a conventional open procedure.

Gregor Stein - One of the best experts on this subject based on the ideXlab platform.

  • Percutaneous lateral ulnar collateral ligament reconstruction
    Knee Surgery Sports Traumatology Arthroscopy, 2013
    Co-Authors: Jens Dargel, Klaus Burkhart, Gregor Stein, Peer Eysel, Dietmar Pennig, Lars Peter Müller
    Abstract:

    Purpose Open surgical reconstruction of the lateral ulnar collateral ligament is the standard treatment for symptomatic posterolateral rotatory instability of the elbow. It involves dissection and retraction of the lateral elbow muscles, which have been shown to be secondary stabilizers of the lateral elbow. We introduce a new muscle-protecting technique for single-strand lateral ulnar collateral ligament reconstruction and report on the Isometry and primary stability when compared with a conventional muscle-splitting procedure. It was hypothesized that percutaneous lateral ulnar collateral ligament reconstruction provided Isometry over the range of motion and that stability was comparable with a conventional open procedure. Methods In sixteen human cadaver arms, the intact and the lateral collateral ligament complex-deficient situation was tested. Open lateral ulnar collateral ligament reconstruction was performed using a single-strand palmaris graft with humeral and ulnar tenodesis screw fixation. Posterolateral rotational stability was compared with a new reconstruction method, which percutaneously places a single-strand palmaris graft with humeral and ulnar tenodesis screw fixation. Results Both open and percutaneous lateral ulnar collateral ligament reconstruction provided Isometry over the range of motion and restored posterolateral stability to that of the intact situation. No significant differences between open and percutaneous reconstruction were found. Conclusions Percutaneous lateral ulnar collateral ligament reconstruction aims to preserve the lateral elbow muscles and to minimize soft tissue dissection. It has been shown that in an in vitro setup, this new procedure provides Isometry over the range of motion and sufficiently restores posterolateral rotatory stability.

  • Percutaneous lateral ulnar collateral ligament reconstruction.
    Knee Surgery Sports Traumatology Arthroscopy, 2012
    Co-Authors: Jens Dargel, Klaus Burkhart, Gregor Stein, Peer Eysel, Dietmar Pennig, Lars Peter Müller
    Abstract:

    Purpose Open surgical reconstruction of the lateral ulnar collateral ligament is the standard treatment for symptomatic posterolateral rotatory instability of the elbow. It involves dissection and retraction of the lateral elbow muscles, which have been shown to be secondary stabilizers of the lateral elbow. We introduce a new muscle-protecting technique for single-strand lateral ulnar collateral ligament reconstruction and report on the Isometry and primary stability when compared with a conventional muscle-splitting procedure. It was hypothesized that percutaneous lateral ulnar collateral ligament reconstruction provided Isometry over the range of motion and that stability was comparable with a conventional open procedure.