We describe a method to compute conformal parameterizations with a natural boundary based on a simple differentiable expression measuring angles between edges by using complex numbers. The method can be adapted to preserve metric properties or map textures with constrained positions. Some illustrations are shown to assess the efficiency of the algorithms.

We describe a method to compute conformal parameterizations with a natural boundary based on a simple differentiable expression measuring angles between edges by using complex numbers. The method can be adapted to preserve metric properties or map textures with constrained positions. Some illustrations are shown to assess the efficiency of the algorithms.

It is often desirable to evaluate parametric spline curves at points based on their arc-length instead of the curveÕs original parameter. Techniques are presented here for computing a reparameterization curve allowing approximate arc-length evaluation. This reparameterization curve is also expressed as a spline, allowing rapid evaluation as a function of arc-length. Using composition methods de...

This thesis deals with feedback control using two different sensor types, force sensors and cameras. In many tasks in robotics compliance is required in order to avoid damage to the workpiece. Force and vision are the most useful sensing capabilities for a robot system operating in an unknown or uncalibrated environment. An overview of vision based estimation, control and vision/force control i...

in this paper, solution of nonlinear optimal control problems and the controlled duffing oscillator, as a special class of optimal control problems, are considered and an efficient algorithm is proposed. this algorithm is based on state parametrization as a polynomial with unknown coefficients. by this method, the control and state variables can be approximated as a function of time. also, the ...

Here we consider the problem of optimal manipulation of biological or biotechnological systems, formulated as a class of mixed-integer optimal control problems. We describe the current state of the art regarding the numerical solution of these problems, and a software implementation developed in our group (DOTcvp toolbox, based on Matlab). DOTcvp combines the control vector parameterization app...

To solve the problem of relative camera pose estimation, a method using optimization with respect to the manifold is proposed. Firstly from maximum-a-posteriori (MAP) model to nonlinear least squares (NLS) model, the general state estimation model using optimization is derived. Then the camera pose estimation model is applied to the general state estimation model, while the parameterization of ...

the present study is concerned with optimal shape determination of inhomogeneous and temperature dependent domains under steady state heat conduction. such situations are important in many thermal design problems, especially in shape design of electronic components and chips. in the present paper, we formulate the shape optimization problem based on volume minimization of heat conductive materi...

DIFFEOMORPHIC TRANSFORMATIONS FOR AUTOMATIC MULTI-MODALITY IMAGE REGISTRATION by Ramkrishnan Narayanan Co-Chairs: Charles R. Meyer and Jeffrey A. Fessler Image registration is usually the first step before performing any post-processing operations such as surgical planning, volumetric measurements, diagnosis, etc. There are numerous registration algorithms that use any of several geometric inte...

The use of parameterization in assessing gait waveforms has been widely accepted, although it is recognized that this approach excludes the majority of information contained in the waveform. Waveform analysis techniques, such as principal component analysis (PCA), have gained popularity in recent years as a more effective approach to extracting important information from human movement waveform...