Function Representation of Solids Reconstructed from Scattered Surface Points and Contours

Савченко, В. В.; Pasko, Alexander; Okunev, Oleg; Kunii, Tosiyasu L.

doi:10.1111/1467-8659.1440181

Cited by 207 publications

(115 citation statements)

References 13 publications

(7 reference statements)

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“…Both point clouds acquired from the 3D scan and CT were used to reconstruct a smooth surface using Radial Basis Functions [13]. The result is shown in Fig.…”

Section: Comparative Analysis Of the Anterior Chest Wallmentioning

confidence: 99%

Variations of the soft tissue thicknesses external to the ribs in Pectus Excavatum patients

Rodrigues

Direito-Santos

Moreira

et al. 2013

Journal of Pediatric Surgery

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Background: Surgical repair of pectus excavatum (PE) has become more popular due to improvements in the minimally invasive Nuss procedure. The pre-surgical assessment of PE patients requires Computerized Tomography (CT), as the malformation characteristics vary from patient to patient. Objective: This work aims to characterize soft tissue thickness (STT) external to the ribs among PE patients. It also presents a comparative analysis between the anterior chest wall surface before and after surgical correction. Methods: Through surrounding tissue segmentation in CT data, STT values were calculated at different lines along the thoracic wall, with a reference point in the intersection of coronal and median planes. The comparative analysis between the two 3D anterior chest surfaces sets a surgical correction influence area (SCIA) and a volume of interest (VOI) based on image processing algorithms, 3D surface algorithms, and registration methods. Results: There are always variations between left and right side STTs (2.54 ± 2.05 mm and 2.95 ± 2.97 mm for female and male patients, respectively). STTs are dependent on age, sex, and body mass index of each patient. On female patients, breast tissue induces additional errors in bar manual ☆ Funding: This work was supported by "Fundação para a Ciência e a Tecnologia" (FCT), Portugal, through the R&D project referenced PTDC/SAU-BEB/ 103368

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“…Both point clouds acquired from the 3D scan and CT were used to reconstruct a smooth surface using Radial Basis Functions [13]. The result is shown in Fig.…”

Section: Comparative Analysis Of the Anterior Chest Wallmentioning

confidence: 99%

Variations of the soft tissue thicknesses external to the ribs in Pectus Excavatum patients

Rodrigues

Direito-Santos

Moreira

et al. 2013

Journal of Pediatric Surgery

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“…However, in the case of curves the polyline is only an approximation to the smooth curve the user desires. In our system we do not create an approximate polyline, but instead fit a smooth 2D variational implicit curve [32,43] to the discrete samples. Curve normals derived from the discrete polyline are used to generate the necessary off-curve constraint points [10].…”

Section: Sketching Assistancementioning

confidence: 99%

ShapeShop: Free-Form 3D Design with Implicit Solid Modeling

Schmidt¹,

Wyvill²

2011

Sketch-Based Interfaces and Modeling

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Implicit modeling has been used since the early 1980s as an alternative to mainstream solid-modeling techniques. Beyond Boolean composition, implicit modeling integrates blending and deformation operators which allow complex free-form solid models to be more easily described. Recent advances have alleviated some of the major technical problems, such as visualization speed and surface control. In this chapter we describe how to combine these new techniques with a sketchbased 3D modeling interface, resulting in a powerful tool for quickly creating solid models. Our system, called ShapeShop, has been used as a testbed to investigate a range of problems, from real-time visualization [36] . Sketch-based 3D modeling is the common thread which ties all these various problems together [33,34,37,46].Much like the seminal Teddy system [18], ShapeShop is a tool for incrementally creating a 3D model using simple 2D sketches. From this starting point, many other sketch and pen-based interaction techniques have been adapted and integrated into the system. ShapeShop borrows liberally from work in sketching assistance [7,17], gestural systems [48], crossing interfaces [2], and suggestive modeling [16]. One long-term aspect of the ShapeShop project is to evaluate how these non-traditional techniques can be effectively combined within a complex interface.

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“…Moving least square (MLS) [3][4][5][6] and radial basis function (RBF) [7][8][9][10][11][12][13][14][15] are two popular 3D implicit surface reconstruction methods.…”

Section: Introductionmentioning

confidence: 99%

“…Using this technique, an implicit surface is constructed by calculating the weights of a set of radial basis functions such they interpolate the given data points. From the pioneering work [7,8] to recent researches, such as compactly-supported RBF [9,10], fast RBF [11][12][13] and multi-scale RBF [14,15], the established algorithms can generate more and more faithful models of real objects in last twenty years, unfortunately, most of them are not feasible for the approximations of unorganized point clouds containing noise and outliers.…”

Section: Introductionmentioning

confidence: 99%

Implicit Surface Reconstruction from Scattered Point Data with Noise

Yang

Wang

Zhu

et al. 2007

Computational Science – ICCS 2007

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Abstract. This paper addresses the problem of reconstructing implicit function from point clouds with noise and outliers acquired with 3D scanners. We introduce a filtering operator based on mean shift scheme, which shift each point to local maximum of kernel density function, resulting in suppression of noise with different amplitudes and removal of outliers. The "clean" data points are then divided into subdomains using an adaptive octree subdivision method, and a local radial basis function is constructed at each octree leaf cell. Finally, we blend these local shape functions together with partition of unity to approximate the entire global domain. Numerical experiments demonstrate robust and high quality performance of the proposed method in processing a great variety of 3D reconstruction from point clouds containing noise and outliers.

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Function Representation of Solids Reconstructed from Scattered Surface Points and Contours

Cited by 207 publications

References 13 publications

Variations of the soft tissue thicknesses external to the ribs in Pectus Excavatum patients

Variations of the soft tissue thicknesses external to the ribs in Pectus Excavatum patients

ShapeShop: Free-Form 3D Design with Implicit Solid Modeling

Implicit Surface Reconstruction from Scattered Point Data with Noise

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