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2,090
Dual quaternions for rigid transformation blending
, 2006
"... Figure 1: A comparison of different rigid transformation blending algorithms applied in skinning shows that blending based on dual quaternions not only eliminates artifacts, but is also much easier to implement and more than twice as fast as previous methods. Quaternions have been a popular tool in ..."
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Cited by 14 (0 self)
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Figure 1: A comparison of different rigid transformation blending algorithms applied in skinning shows that blending based on dual quaternions not only eliminates artifacts, but is also much easier to implement and more than twice as fast as previous methods. Quaternions have been a popular tool
WELL-COMPOSED IMAGES AND RIGID TRANSFORMATIONS
, 2013
"... We study the conditions under which the topological properties of a 2D well-composed binary image are preserved under arbitrary rigid transformations. This work initiates a more global study of digital image topological properties under such transformations, which is a crucial but under-considered p ..."
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Cited by 1 (1 self)
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We study the conditions under which the topological properties of a 2D well-composed binary image are preserved under arbitrary rigid transformations. This work initiates a more global study of digital image topological properties under such transformations, which is a crucial but under
LMS registration of rigid transformations
"... Methods are investigated to improve the registration of images corrupted by rigid displacements using the Least Mean Square (LMS) algorithm. Results show that LMS adaptive registration (LMSAR) is effective for small transla-tional displacements, but fails for large translational dis-placements where ..."
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Methods are investigated to improve the registration of images corrupted by rigid displacements using the Least Mean Square (LMS) algorithm. Results show that LMS adaptive registration (LMSAR) is effective for small transla-tional displacements, but fails for large translational dis
On Gromov’s theory of rigid transformation
, 1998
"... Abstract. Geometric problems are usually formulated by means of (exterior) differential systems. In this theory, one enriches the system by adding algebraic and differential constraints, and then looks for regular solutions. Here we adopt a dual approach, which consists of enriching a plane field, a ..."
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, to the usual differential systems (i.e. partial differential relations) approach. We then apply the results of §1 to deduce a celebrated corollary of Gromov’s theory on rigid transformation groups.
On 2D Constrained Discrete Rigid Transformations
, 2013
"... Rigid transformations are involved in a wide range of digital image processing applications. In such a context, they are generally considered as continuous processes, followed byadigitization of the results. Recently, rigid transformations on Z 2 have been alternatively formulated as a fully discret ..."
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Rigid transformations are involved in a wide range of digital image processing applications. In such a context, they are generally considered as continuous processes, followed byadigitization of the results. Recently, rigid transformations on Z 2 have been alternatively formulated as a fully
Non-rigid Transformations for Musculoskeletal Model
"... This paper provides describes solution for the fully automatic registration and multi-morphing of surface triangular meshes. It solves the instability problem experienced with non-manifold mesh transformations. A refinement and interpolation of multiple such meshes representing the same object are u ..."
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This paper provides describes solution for the fully automatic registration and multi-morphing of surface triangular meshes. It solves the instability problem experienced with non-manifold mesh transformations. A refinement and interpolation of multiple such meshes representing the same object
A distance on curves modulo rigid transformations
, 2014
"... We propose a geometric method for quantifying the difference between parametrized curves in Euclidean space by introducing a distance function on the space of parametrized curves up to rigid transformations (rotations and translations). Given two curves, the distance between them is defined as the i ..."
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We propose a geometric method for quantifying the difference between parametrized curves in Euclidean space by introducing a distance function on the space of parametrized curves up to rigid transformations (rotations and translations). Given two curves, the distance between them is defined
A comparison of four algorithms for estimating 3-d rigid transformations
- In Proc. British Machine Vision Conference
, 1995
"... A common need in machine vision is to compute the 3-D rigid transformation that exists between two sets of points for which corresponding pairs have been determined. In this paper a comparative analysis of four popular and efficient algorithms is given. Each computes the translational and rotational ..."
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Cited by 76 (1 self)
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A common need in machine vision is to compute the 3-D rigid transformation that exists between two sets of points for which corresponding pairs have been determined. In this paper a comparative analysis of four popular and efficient algorithms is given. Each computes the translational
Nonrigid registration using free-form deformations: Application to breast MR images
- IEEE Transactions on Medical Imaging
, 1999
"... Abstract — In this paper we present a new approach for the nonrigid registration of contrast-enhanced breast MRI. A hierarchical transformation model of the motion of the breast has been developed. The global motion of the breast is modeled by an affine transformation while the local breast motion i ..."
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Cited by 697 (36 self)
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Abstract — In this paper we present a new approach for the nonrigid registration of contrast-enhanced breast MRI. A hierarchical transformation model of the motion of the breast has been developed. The global motion of the breast is modeled by an affine transformation while the local breast motion
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