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- Inge Söderkvist, Per-Åke Wedin
- Journal of biomechanics
- 1993

The problem of determining skeletal movements in three dimensions by using a number of landmarks is treated. We present a method that determines the motion of a rigid body by using the positions of… (More)

- Tomas Berglund, Andrej Brodnik, Håkan Jonsson, M. Staffanson, Inge Söderkvist
- IEEE Transactions on Automation Science and…
- 2010

We study the problem of automatic generation of smooth and obstacle-avoiding planar paths for efficient guidance of autonomous mining vehicles. Fast traversal of a path is of special interest. We… (More)

Using a set of landmarks to represent a rigid body, a rotation of the body can be determined in least-squares sense as the solution of an orthogonal Procrustes problem. We discuss some geometrical… (More)

- Mårten Gulliksson, Inge Söderkvist, Per-Åke Wedin
- SIAM Journal on Optimization
- 1997

A hybrid algorithm consisting of a Gauss--Newton method and a second-order method for solving constrained and weighted nonlinear least squares problems is developed, analyzed, and tested. One of the… (More)

- Inge Söderkvist
- 1990

A commonly used technique for fitting curves and surfaces to measured data is that known as orthogonal distance regression, where the sum of squares of orthogonal distances from the data points to… (More)

- Inge Söderkvist
- 1996

A new square-root algorithm for Kalman filtering and smoothing is derived. The new algorithm is a modification of the information filter presented by Paige and Saunders [C.C. Paige and M.A. Saunder… (More)

Algorithms for fitting a surface, explicitly or implicitly defined, to some measured points are developed, analyzed and tested. The problem class treated, includes orthogonal regression and… (More)

- Tomas Berglund, Håkan Jonsson, Inge Söderkvist
- International Conference on Geometric Modeling…
- 2003

We study the problem of computing a planar curve, restricted to lie between two given polygonal chains, such that the integral of the square of arc-length derivative of curvature along the curve is… (More)

- Inge Söderkvist
- 1993

Given two arbitrary real matricesA andB of the same size, the orthogonal Procrustes problem is to find an orthogonal matrixM such that the Frobenius norm ‖MA − B‖ is minimized. This paper treats the… (More)