Spherical Harmonics Based Intrasubject 3-D Kidney Modeling/Registration Technique Applied on Partial Information

Abstract

This paper presents a three-dimensional (3-D) shape reconstruction/intrapatient rigid registration technique used to establish a Nephron-Sparing Surgery preoperative planning. The usual preoperative imaging system is the Spiral CT Urography, which provides successive 3-D acquisitions of complementary information on kidney anatomy. Because the kidney is difficult to demarcate from the liver or from the spleen only limited information on its volume or surface is available. In this paper, we propose a methodology allowing a global kidney spatial representation on a spherical harmonics basis. The spherical harmonics are exploited to recover the kidney 3-D shape and also to perform intrapatient 3-D rigid registration. An evaluation performed on synthetic data showed that this technique presented lower performance then expected for the 3-D shape recovering but exhibited registration results slightly more accurate as the iterative closest point technique with faster computation time.

A high-order algorithm for multiple electromagnetic scattering in three dimensions

“…Having presented our algorithm in the context of the first approach described in Section 1, we are now able to describe an implementation using the second approach, which involves the boundary decomposition [1] of well separated (see (6) and (7) in [1, Page 4]) sub-scatterers. The separation condition is sufficient to ensure that all series representations in this section converge.…”

“…The above representation includes, but is not limited to, star shaped obstacles. Many interesting scattering geometries can be described in this way, including Gaussian random particles simulating ice crystals [32] (modeled from images obtained by a cloud particle imager instrument) and dust particles [37], erythrocytes [22,41], brain tumors [20], kidneys [6], all benchmark radar targets in [40], (after converting the material construction coordinates [40] to spherical coordinates [14]), and recently established three dimensional shape reconstruction surfaces in medical imaging and optical tomography [8,9,43,44].…”

Multimodal image fusion of anatomical structures for diagnosis, therapy planning and assistance

“…While many approaches were proposed for multimodal registration of images of deformable organs such as the heart [18], lungs [19], prostate [20] and kidneys [21], considerably less work has been done for multimodal registration of images of the trunk. Registration of spinal models has been addressed, but most of this work was aimed at assisted interventions where a 3D preoperative model of the spine obtained from CT or MR images is registered to 2D intra-operative images of the spine such as X-rays.…”

Surface representations for 3D face recognition

“…Mousa et al (2007) use the spherical harmonics for reconstruction of 3D objects from point sets, local mesh smoothing and texture transfer. Dillenseger et al (2006) have used it for 3D kidney modelling and registration. To the best of our knowledge, the only use of this representation in face recognition so far is in (Llonch et al, 2009).…”