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Optimal surface segmentation is a state-of-the-art method used for segmentation of multiple globally optimal surfaces in volumetric datasets. The method is widely used in numerous medical image segmentation applications. However, nodes in…

Computer Vision and Pattern Recognition · Computer Science 2019-02-18 Abhay Shah , Michael D. Abramoff , Xiaodong Wu

This paper presents a hybrid algorithm that combines features form both Sqrt(3) and Loop Subdivision schemes. The algorithm aims at preserving sharp features and trim regions, during the surfaces subdivision, using a set of rules. The…

Computational Geometry · Computer Science 2014-02-11 Yasser M. Abd El-Latif

Many approaches to 3D image segmentation are based on hierarchical clustering of supervoxels into image regions. Here we describe a distributed algorithm capable of handling a tremendous number of supervoxels. The algorithm works…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Ran Lu , Aleksandar Zlateski , H. Sebastian Seung

The generation of curves and surfaces from given data is a well-known problem in Computer-Aided Design that can be approached using subdivision schemes. They are powerful tools that allow obtaining new data from the initial one by means of…

Numerical Analysis · Mathematics 2024-12-03 Sergio López-Ureña , Dionisio F. Yáñez

The creation of high-fidelity 3D assets is often hindered by a 'pixel-level pain point': the loss of high-frequency details. Existing methods often trade off one aspect for another: either sacrificing cross-view consistency, resulting in…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Lu Xiao , Jiale Zhang , Yang Liu , Taicheng Huang , Xin Tian

Segmentation is often an essential intermediate step in image analysis. A volume segmentation characterizes the underlying volume image in terms of geometric information--segments, faces between segments, curves in which several faces…

Computational Geometry · Computer Science 2010-10-01 Bjoern Andres , Ullrich Koethe , Thorben Kroeger , Fred A. Hamprecht

This paper proposes a method for computing the visible occluding contours of subdivision surfaces. The paper first introduces new theory for contour visibility of smooth surfaces. Necessary and sufficient conditions are introduced for when…

Graphics · Computer Science 2022-06-09 Chenxi Liu , Pierre Bénard , Aaron Hertzmann , Shayan Hoshyari

We develop a new optimisation technique that combines multiresolution subdivision surfaces for boundary description with immersed finite elements for the discretisation of the primal and adjoint problems of optimisation. Similar to wavelets…

Numerical Analysis · Mathematics 2016-01-20 Kosala Bandara , Thomas Rüberg , Fehmi Cirak

We present a novel method for characterizing the microstructure of a material from volumetric datasets such as 3D image data from computed tomography (CT). The method is based on a new statistical model for the distribution of voxel…

Materials Science · Physics 2021-01-06 Elise Otterlei Brenne , Vedrana Andersen Dahl , Peter Stanley Jørgensen

Analysis of the 3D Texture is indispensable for various tasks, such as retrieval, segmentation, classification, and inspection of sculptures, knitted fabrics, and biological tissues. A 3D texture is a locally repeated surface variation…

Computer Vision and Pattern Recognition · Computer Science 2023-11-20 Iyyakutti Iyappan Ganapathi , Fayaz Ali , Sajid Javed , Syed Sadaf Ali , Naoufel Werghi

Subdivision surfaces provide an elegant isogeometric analysis framework for geometric design and analysis of partial differential equations defined on surfaces. They are already a standard in high-end computer animation and graphics and are…

Numerical Analysis · Mathematics 2018-06-04 Qiaoling Zhang , Malcolm Sabin , Fehmi Cirak

In computer graphics, smooth data reconstruction on 2D or 3D manifolds usually refers to subdivision problems. Such a method is only valid based on dense sample points. The manifold usually needs to be triangulated into meshes (or patches)…

Numerical Analysis · Mathematics 2011-05-30 Li Chen , Feng Luo

Generalizable neural surface reconstruction has become a compelling technique to reconstruct from few images without per-scene optimization, where dense 3D feature volume has proven effective as a global representation of scenes. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Aoxiang Fan , Corentin Dumery , Nicolas Talabot , Hieu Le , Pascal Fua

Medical images, especially volumetric images, are of high resolution and often exceed the capacity of standard desktop GPUs. As a result, most deep learning-based medical image analysis tasks require the input images to be downsampled,…

Image and Video Processing · Electrical Eng. & Systems 2021-08-29 Jianning Li , Antonio Pepe , Christina Gsaxner , Yuan Jin , Jan Egger

Meshes are commonly used as 3D maps since they encode the topology of the scene while being lightweight. Unfortunately, 3D meshes are mathematically difficult to handle directly because of their combinatorial and discrete nature. Therefore,…

Computer Vision and Pattern Recognition · Computer Science 2021-08-09 Antoni Rosinol , Luca Carlone

A mesh improvement methodology is pre- sented which aims to improve the quality of the worst elements in 3D meshes with non-planar surfaces which cannot be improved using traditional methods. A nu- merical optimisation algorithm, which…

Optimization and Control · Mathematics 2013-07-15 Alan Kelly , Lukasz Kaczmarczyk , Chris Pearce

Surfaces are typically represented as meshes, which can be extracted from volumetric fields via meshing or optimized directly as surface parameterizations. Volumetric representations occupy 3D space and have a large effective receptive…

Graphics · Computer Science 2026-02-03 Ruiqi Zhang , Jiacheng Wu , Jie Chen

Surface topography refers to the geometric micro-structure of a surface and defines its tactile characteristics (typically in the sub-millimeter range). High-resolution 3D scanning techniques developed recently enable the 3D reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2015-05-07 Matthias Zeppelzauer , Markus Seidl

The task of automatically segmenting 3-D surfaces representing boundaries of objects is important for quantitative analysis of volumetric images, and plays a vital role in biomedical image analysis. Recently, graph-based methods with a…

Computer Vision and Pattern Recognition · Computer Science 2018-01-10 Abhay Shah , Michael Abramoff , Xiaodong Wu

Subdivision surfaces are proven to be a powerful tool in geometric modeling and computer graphics, due to the great flexibility they offer in capturing irregular topologies. This paper discusses the robust and efficient implementation of an…

Numerical Analysis · Mathematics 2015-03-13 Bert Jüttler , Angelos Mantzaflaris , Ricardo Perl , Martin Rumpf
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