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3D Morphable Model (3DMM) fitting has widely benefited face analysis due to its strong 3D priori. However, previous reconstructed 3D faces suffer from degraded visual verisimilitude due to the loss of fine-grained geometry, which is…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Xiangyu Zhu , Chang Yu , Di Huang , Zhen Lei , Hao Wang , Stan Z. Li

Bokeh rendering is one of the most popular techniques in photography. It can make photographs visually appealing, forcing users to focus their attentions on particular area of image. However, achieving satisfactory bokeh effect usually…

Computer Vision and Pattern Recognition · Computer Science 2024-10-21 Kang Chen , Shijun Yan , Aiwen Jiang , Han Li , Zhifeng Wang

This article is a survey of recent results on slicing inequalities for convex bodies. The focus is on the setting of arbitrary measures in place of volume.

Metric Geometry · Mathematics 2015-11-18 Alexander Koldobsky

Given a non-rational real space curve and a tolerance $\epsilon>0$, we present an algorithm to approximately parametrize the curve. The algorithm checks whether a planar projection of the space curve is $\epsilon$-rational and, in the…

Algebraic Geometry · Mathematics 2013-06-04 Sonia L. Rueda , Juana Sendra , J. Rafael Sendra

Inferring 3D locations and shapes of multiple objects from a single 2D image is a long-standing objective of computer vision. Most of the existing works either predict one of these 3D properties or focus on solving both for a single object.…

Computer Vision and Pattern Recognition · Computer Science 2021-11-08 Feng Liu , Xiaoming Liu

Jigsaw puzzle solving requires the rearrangement of unordered pieces into their original pose in order to reconstruct a coherent whole, often an image, and is known to be an intractable problem. While the possible impact of automatic puzzle…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Yaniv Ohayon , Ofir Itzhak Shahar , Ohad Ben-Shahar

To properly evaluate the performance of 360VR-specific encoding and transmission schemes, and particularly of the solutions based on viewport adaptation, it is necessary to consider not only the bandwidth saved, but also the quality of the…

We study a specific convex maximization problem in n-dimensional space. The conjectured solution is proved to be a vertex of the polyhedral feasible region, but only a partial proof of local maximality is known. Integer sequences with…

Optimization and Control · Mathematics 2007-05-23 Steven Finch

Spatial intelligence in vision-language models (VLMs) attracts research interest with the practical demand to reason in the 3D world.Despite promising results, most existing methods follow the conventional 2D pipeline in VLMs and use…

Computer Vision and Pattern Recognition · Computer Science 2026-05-11 Jerry Jiang , Haowen Sun , Denis Gudovskiy , Yohei Nakata , Tomoyuki Okuno , Kurt Keutzer , Wenzhao Zheng

Camera calibration is the foundation of 3D vision. Generic camera calibration can yield more accurate results than parametric cam era calibration. However, calibrating a generic camera model using printed calibration boards requires far…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Zezhun Shi

Typical inverse rendering methods focus on learning implicit neural scene representations by modeling the geometry, materials and illumination separately, which entails significant computations for optimization. In this work we design a…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Shuang Wu , Songlin Tang , Guangming Lu , Jianzhuang Liu , Wenjie Pei

This paper proposes a novel advanced motion model to handle the irregular motion for the cubic map projection of 360-degree video. Since the irregular motion is mainly caused by the projection from the sphere to the cube map, we first try…

Multimedia · Computer Science 2017-02-22 Li Li , Zhu Li , Madhukar Budagavi , Houqiang Li

This paper proposes 3DGeoDet, a novel geometry-aware 3D object detection approach that effectively handles single- and multi-view RGB images in indoor and outdoor environments, showcasing its general-purpose applicability. The key challenge…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Yi Zhang , Yi Wang , Yawen Cui , Lap-Pui Chau

Everybody knows from school how to solve a quadratic equation of the form $x^2-px+q=0$ graphically. But this method can become tedious if several equations ought to be solved, as for each pair $(p,q)$ a new parabola has to be drawn.…

History and Overview · Mathematics 2020-12-15 Michael Schmitz , André Streicher

Recent research on learnable neural representations has been widely adopted in the field of 3D scene reconstruction and neural rendering applications. However, traditional feature grid representations often suffer from substantial memory…

Graphics · Computer Science 2026-04-30 Rui Su , Honghao Dong , Haojie Jin , Yisong Chen , Guoping Wang , Sheng Li

How to effectively represent camera pose is an essential problem in 3D computer vision, especially in tasks such as camera pose regression and novel view synthesis. Traditionally, 3D position of the camera is represented by Cartesian…

Computer Vision and Pattern Recognition · Computer Science 2021-05-11 Yaxuan Zhu , Ruiqi Gao , Siyuan Huang , Song-Chun Zhu , Ying Nian Wu

Complex 3D curves can be created by directly drawing mid-air in immersive environments (Augmented and Virtual Realities). Drawing mid-air strokes precisely on the surface of a 3D virtual object, however, is difficult; necessitating a…

Graphics · Computer Science 2021-04-13 Rahul Arora , Karan Singh

3D Gaussian Splatting represents a breakthrough in the field of novel view synthesis. It establishes Gaussians as core rendering primitives for highly accurate real-world environment reconstruction. Recent advances have drastically…

Graphics · Computer Science 2025-06-25 Jonathan Haberl , Philipp Fleck , Clemens Arth

Discrete transformation for 3- waves problem is constructed in explicit form. Generalization of this system on the matrix case in three dimensional space together with corresponding discrete transformation is presented also.

Exactly Solvable and Integrable Systems · Physics 2015-06-26 A. N. Leznov , R. Torres-Cordoba

A recent method employs 3D voxels to represent 3D shapes, but this limits the approach to low resolutions due to the computational cost caused by the cubic complexity of 3D voxels. Hence the method suffers from a lack of detailed geometry.…

Computer Vision and Pattern Recognition · Computer Science 2018-11-08 Zhizhong Han , Mingyang Shang , Xiyang Wang , Yu-Shen Liu , Matthias Zwicker
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