Affine SPHARM Registration - Neural Estimation of Affine Transformation in Spherical Domain
نویسندگان
چکیده
In this work we propose an algorithm to perform the affine 3D surface registration using the shape modeling based on SPHerical HARMonic: called SPHARM. In the existing SPHARM registration algorithms the alignment is obtained using the rotation properties, that allows to perform the 3D surface rotation transforming only the spherical coefficients. The major limit is that this approach aligns the surface only by rotation. We propose a method to generalize this solution without lose the advantage to perform whole the registration process in the spherical domain. An estimation of the coefficients transformation that guarantees an affinity in the spatial domain is obtained by regression, using a set of RBF networks. The description of the 3D surface with the spherical harmonic coefficients is brief but comprehensive and provides directly a metric of the shape similarity. Therefore, the registration is obtained aligning the SPHARM model thought the minimization of the root mean square distance between the coefficients vectors. Many experiments are performed to test the affine SPHARM registration algorithm which appears efficient and effective compared with a standard registration algorithm in the spatial domain.
منابع مشابه
Enlarging Domain of Attraction for a Special Class of Continuous-time Quadratic Lyapunov Function Piecewise Affine Systems based on Discontinuous Piecewise
This paper presents a new approach to estimate and to enlarge the domain of attraction for a planar continuous-time piecewise affine system. Various continuous Lyapunov functions have been proposed to estimate and to enlarge the system’s domain of attraction. In the proposed method with a new vision and with the aids of a discontinuous piecewise quadratic Lyapunov function, the domain of attrac...
متن کاملCharacterizing Global Minimizers of the Difference of Two Positive Valued Affine Increasing and Co-radiant Functions
Many optimization problems can be reduced to a problem with an increasing and co-radiant objective function by a suitable transformation of variables. Functions, which are increasing and co-radiant, have found many applications in microeconomic analysis. In this paper, the abstract convexity of positive valued affine increasing and co-radiant (ICR) functions are discussed. Moreover, the ...
متن کاملDecentralized Adaptive Control of Large-Scale Non-affine Nonlinear Time-Delay Systems Using Neural Networks
In this paper, a decentralized adaptive neural controller is proposed for a class of large-scale nonlinear systems with unknown nonlinear, non-affine subsystems and unknown nonlinear time-delay interconnections. The stability of the closed loop system is guaranteed through Lyapunov-Krasovskii stability analysis. Simulation results are provided to show the effectiveness of the proposed approache...
متن کاملOn Analytical Study of Self-Affine Maps
Self-affine maps were successfully used for edge detection, image segmentation, and contour extraction. They belong to the general category of patch-based methods. Particularly, each self-affine map is defined by one pair of patches in the image domain. By minimizing the difference between these patches, the optimal translation vector of the self-affine map is obtained. Almost all image process...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011