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Image representation is a fundamental task in computer vision. Recently, Gaussian Splatting has emerged as an efficient representation framework, and its extension to 2D image representation enables lightweight, yet expressive modeling of…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Masaya Takabe , Hiroshi Watanabe , Sujun Hong , Tomohiro Ikai , Zheming Fan , Ryo Ishimoto , Kakeru Sugimoto , Ruri Imichi

We present a deblurring method for scenes with occluding objects using a carefully designed layered blur model. Layered blur model is frequently used in the motion deblurring problem to handle locally varying blurs, which is caused by…

Computer Vision and Pattern Recognition · Computer Science 2016-11-30 Byeongjoo Ahn , Tae Hyun Kim , Wonsik Kim , Kyoung Mu Lee

The evolution of a closed two-dimensional surface driven by both mean curvature flow and a reaction--diffusion process on the surface is formulated into a system, which couples the velocity law not only to the surface partial differential…

Numerical Analysis · Mathematics 2020-08-18 Balázs Kovács , Buyang Li , Christian Lubich

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

We propose a novel method to generate a small set of ruled surfaces that do not collide with the input shape for linear hot-wire rough machining. Central to our technique is a new observation: the ruled surfaces constructed by vertical…

Computational Geometry · Computer Science 2025-09-03 Zheng Zhang , Kang Wu , Yi-Fei Li , Xu Liu , Xiang Wang , Ligang Liu , Xiao-Ming Fu

In this paper, a new framework for one-dimensional contour extraction from discrete two-dimensional data sets is presented. Contour extraction is important in many scientific fields such as digital image processing, computer vision, pattern…

Computer Vision and Pattern Recognition · Computer Science 2010-11-11 B. R. Schlei

In this paper subdivision schemes, which are used for functions approximation and curves generation, are considered. In classical case, for the functions defined on the real line, the theory of subdivision schemes is widely known due to…

Functional Analysis · Mathematics 2020-12-10 Vladimir Protasov , Mikhail Karapetyants

We describe an efficient algorithm to compute a pseudotriangulation of a finite planar family of pairwise disjoint convex bodies presented by its chirotope. The design of the algorithm relies on a deepening of the theory of visibility…

Computational Geometry · Computer Science 2012-08-14 Luc Habert , Michel Pocchiola

The need for fast, effective and accurate surveys have become increasingly necessary. A major part of the research is supported by photographic surveys which are used for capturing expansive natural surfaces using a wide range of sensors --…

Image and Video Processing · Electrical Eng. & Systems 2023-05-16 Maniratnam Mandal

We have derived an analytical formulation for estimating the volume of geometries enclosed by implicitly defined surfaces. The novelty of this work is due to two aspects. First we provide a general analytical formulation for all…

Numerical Analysis · Mathematics 2019-05-01 Shucheng Pan , Xiangyu Hu , Nikolaus. A. Adams

Textured meshes significantly enhance the realism and detail of objects by mapping intricate texture details onto the geometric structure of 3D models. This advancement is valuable across various applications, including entertainment,…

Graphics · Computer Science 2024-12-12 Kaiwei Zhang , Dandan Zhu , Xiongkuo Min , Guangtao Zhai

Direct contour regression for instance segmentation is a challenging task. Previous works usually achieve it by learning to progressively refine the contour prediction or adopting a shape representation with limited expressiveness. In this…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 Tutian Tang , Wenqiang Xu , Ruolin Ye , Yan-Feng Wang , Cewu Lu

We describe a hidden surface removal algorithm for two-dimensional layered scenes built from arbitrary primitives, particularly suited to interaction and animation in rich scenes (for example, in illustration). The method makes use of a…

Graphics · Computer Science 2024-11-04 John Whitington

We introduce an arbitrary order, computationally efficient method to smooth corners on curves in the plane, as well as edges and vertices on surfaces in $\mathbb R^3$. The method is local, only modifying the original surface in a…

Numerical Analysis · Mathematics 2016-04-08 Charles L. Epstein , Michael O'Neil

This paper presents a novel optimization-based method for non-line-of-sight (NLOS) imaging that aims to reconstruct hidden scenes under general setups with significantly reduced reconstruction time. In NLOS imaging, the visible surfaces of…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Hyunbo Shim , In Cho , Daekyu Kwon , Seon Joo Kim

The sparse representation of signals defined on Euclidean domains has been successfully applied in signal processing. Bringing the power of sparse representations to non-regular domains is still a challenge, but promising approaches have…

Computational Geometry · Computer Science 2020-11-26 Lizeth J. Fuentes Perez , Luciano A. Romero Calla , Anselmo A. Montenegro , Claudio Mura , Renato Pajarola

We describe a method for discretizing planar C2-regular domains immersed in non-conforming triangulations. The method consists in constructing mappings from triangles in a background mesh to curvilinear ones that conform exactly to the…

Numerical Analysis · Mathematics 2012-01-25 Ramsharan Rangarajan , Adrian J. Lew

Seamless global parametrization of surfaces is a key operation in geometry processing, e.g. for high-quality quad mesh generation. A common approach is to prescribe the parametric domain structure, in particular the locations of…

Graphics · Computer Science 2021-04-13 Marcel Campen , Hanxiao Shen , Jiaran Zhou , Denis Zorin

In this paper, we study the task of detecting semantic parts of an object, e.g., a wheel of a car, under partial occlusion. We propose that all models should be trained without seeing occlusions while being able to transfer the learned…

Computer Vision and Pattern Recognition · Computer Science 2018-03-30 Zhishuai Zhang , Cihang Xie , Jianyu Wang , Lingxi Xie , Alan L. Yuille

This paper proposes Separability Membrane, a robust 3D active contour for extracting a surface from 3D point cloud object. Our approach defines the surface of a 3D object as the boundary that maximizes the separability of point features,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Gulpi Qorik Oktagalu Pratamasunu , Guoqing Hao , Kazuhiro Fukui